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1000012201100 = 2252113143681997
BaseRepresentation
bin11101000110101010101…
…11110011110010001100
310112121012120101022020122
432203111113303302030
5112341011110413400
62043222124004112
7132151143313523
oct16432527636214
93477176338218
101000012201100
113561148a9850
12141986090638
13733ba97b223
1436587d014ba
151b02c876685
hexe8d55f3c8c

1000012201100 has 144 divisors (see below), whose sum is σ = 2500499291136. Its totient is φ = 343725984000.

The previous prime is 1000012201093. The next prime is 1000012201189. The reversal of 1000012201100 is 11022100001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125302 + ... + 1807298.

Almost surely, 21000012201100 is an apocalyptic number.

1000012201100 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 1000012201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250249645568).

1000012201100 is an abundant number, since it is smaller than the sum of its proper divisors (1500487090036).

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

1000012201100 is a wasteful number, since it uses less digits than its factorization.

1000012201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682096 (or 682089 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000012201100 its reverse (11022100001), we get a palindrome (1011034301101).

The spelling of 1000012201100 in words is "one trillion, twelve million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 43 44 50 55 62 86 100 110 124 155 172 215 220 275 310 341 430 473 550 620 682 775 860 946 1075 1100 1333 1364 1550 1705 1892 2150 2365 2666 3100 3410 4300 4730 5332 6665 6820 8525 9460 11825 13330 14663 17050 23650 26660 29326 33325 34100 47300 58652 66650 73315 133300 146630 293260 366575 681997 733150 1363994 1466300 2727988 3409985 6819970 7501967 13639940 15003934 17049925 21141907 29325871 30007868 34099850 37509835 42283814 58651742 68199700 75019670 84567628 105709535 117303484 146629355 150039340 187549175 211419070 232560977 293258710 322584581 375098350 422838140 465121954 528547675 586517420 645169162 733146775 750196700 909102001 930243908 1057095350 1162804885 1290338324 1466293550 1612922905 1818204002 2114190700 2325609770 2932587100 3225845810 3636408004 4545510005 4651219540 5814024425 6451691620 8064614525 9091020010 10000122011 11628048850 16129229050 18182040020 20000244022 22727550025 23256097700 32258458100 40000488044 45455100050 50000610055 90910200100 100001220110 200002440220 250003050275 500006100550 1000012201100