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100001011100000 = 25551138849647
BaseRepresentation
bin10110101111001101001100…
…101111100110100101100000
3111010002000002101212201201212
4112233031030233212211200
5101101404032320200000
6552403455202045252
730030556164303533
oct2657151457464540
9433060071781655
10100001011100000
112995521082160a
12b270a48349828
1343a509376b57a
141a9a10920ca1a
15b863c8444c35
hex5af34cbe6960

100001011100000 has 144 divisors (see below), whose sum is σ = 248258219582016. Its totient is φ = 39646414080000.

The previous prime is 100001011099991. The next prime is 100001011100009. The reversal of 100001011100000 is 1110100001.

It is an interprime number because it is at equal distance from previous prime (100001011099991) and next prime (100001011100009).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001011100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6875177 + ... + 15724823.

It is an arithmetic number, because the mean of its divisors is an integer number (1724015413764).

Almost surely, 2100001011100000 is an apocalyptic number.

100001011100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100001011100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124129109791008).

100001011100000 is an abundant number, since it is smaller than the sum of its proper divisors (148257208482016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100001011100000 is an frugal number, since it uses more digits than its factorization.

100001011100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8849795 (or 8849767 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100001011100000 its reverse (1110100001), we get a palindrome (100002121200001).

Subtracting from 100001011100000 its reverse (1110100001), we obtain a palindrome (99999900999999).

The spelling of 100001011100000 in words is "one hundred trillion, one billion, eleven million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 125 160 200 226 250 400 452 500 565 625 800 904 1000 1130 1250 1808 2000 2260 2500 2825 3125 3616 4000 4520 5000 5650 6250 9040 10000 11300 12500 14125 18080 20000 22600 25000 28250 45200 50000 56500 70625 90400 100000 113000 141250 226000 282500 353125 452000 565000 706250 1130000 1412500 2260000 2825000 5650000 8849647 11300000 17699294 35398588 44248235 70797176 88496470 141594352 176992940 221241175 283188704 353985880 442482350 707971760 884964700 1000010111 1106205875 1415943520 1769929400 2000020222 2212411750 3539858800 4000040444 4424823500 5000050555 5531029375 7079717600 8000080888 8849647000 10000101110 11062058750 16000161776 17699294000 20000202220 22124117500 25000252775 27655146875 32000323552 35398588000 40000404440 44248235000 50000505550 55310293750 80000808880 88496470000 100001011100 110620587500 125001263875 160001617760 176992940000 200002022200 221241175000 250002527750 400004044400 442482350000 500005055500 625006319375 800008088800 884964700000 1000010111000 1250012638750 2000020222000 2500025277500 3125031596875 4000040444000 5000050555000 6250063193750 10000101110000 12500126387500 20000202220000 25000252775000 50000505550000 100001011100000