Search a number
-
+
100111011112000 = 265371787696627
BaseRepresentation
bin10110110000110011101001…
…010000010110010001000000
3111010110112000111022022120101
4112300303221100112101000
5101110204322321041000
6552530210312052144
730041532116054140
oct2660635120262100
9433415014268511
10100111011112000
112999792897a739
12b28a227094054
1343b2573c70a75
141aa15823d6920
15b891b5540e6a
hex5b0ce9416440

100111011112000 has 112 divisors (see below), whose sum is σ = 283342764751488. Its totient is φ = 34323775219200.

The previous prime is 100111011111983. The next prime is 100111011112033. The reversal of 100111011112000 is 211110111001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 893792314 + ... + 893904313.

Almost surely, 2100111011112000 is an apocalyptic number.

100111011112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111011112000 is an abundant number, since it is smaller than the sum of its proper divisors (183231753639488).

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

100111011112000 is an equidigital number, since it uses as much as digits as its factorization.

100111011112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787696661 (or 1787696641 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100111011112000 its reverse (211110111001), we get a palindrome (100322121223001).

The spelling of 100111011112000 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 28000 56000 1787696627 3575393254 7150786508 8938483135 12513876389 14301573016 17876966270 25027752778 28603146032 35753932540 44692415675 50055505556 57206292064 62569381945 71507865080 89384831350 100111011112 114412584128 125138763890 143015730160 178769662700 200222022224 223462078375 250277527780 286031460320 312846909725 357539325400 400444044448 446924156750 500555055560 572062920640 625693819450 715078650800 800888088896 893848313500 1001110111120 1251387638900 1430157301600 1564234548625 1787696627000 2002220222240 2502775277800 2860314603200 3128469097250 3575393254000 4004440444480 5005550555600 6256938194500 7150786508000 10011101111200 12513876389000 14301573016000 20022202222400 25027752778000 50055505556000 100111011112000