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100111120211220 = 22351799321333353
BaseRepresentation
bin10110110000110011101111…
…110000100001110100010100
3111010110112022002121010120020
4112300303233300201310110
5101110210033233224340
6552530225210305140
730041534612304516
oct2660635760416424
9433415262533506
10100111120211220
1129997984516588
12b28a2577281b0
1343b259074c111
141aa1592ab5bb6
15b891bede19d0
hex5b0cefc21d14

100111120211220 has 48 divisors (see below), whose sum is σ = 281877120624960. Its totient is φ = 26547157386496.

The previous prime is 100111120211209. The next prime is 100111120211231. The reversal of 100111120211220 is 22112021111001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100111120211209) and next prime (100111120211231).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100111120211220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4660655937 + ... + 4660677416.

It is an arithmetic number, because the mean of its divisors is an integer number (5872440013020).

Almost surely, 2100111120211220 is an apocalyptic number.

100111120211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111120211220 is an abundant number, since it is smaller than the sum of its proper divisors (181766000413740).

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

100111120211220 is a wasteful number, since it uses less digits than its factorization.

100111120211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9321333544 (or 9321333542 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100111120211220 its reverse (22112021111001), we get a palindrome (122223141322221).

The spelling of 100111120211220 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 358 537 716 895 1074 1790 2148 2685 3580 5370 10740 9321333353 18642666706 27964000059 37285333412 46606666765 55928000118 93213333530 111856000236 139820000295 186426667060 279640000590 559280001180 1668518670187 3337037340374 5005556010561 6674074680748 8342593350935 10011112021122 16685186701870 20022224042244 25027780052805 33370373403740 50055560105610 100111120211220