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100111121442 = 23223241814303
BaseRepresentation
bin101110100111100010…
…1100111110000100010
3100120101220201220012200
41131033011213300202
53120011421341232
6113553532434030
710142563330503
oct1351705476042
9316356656180
10100111121442
1139503133302
121749b018916
139595848387
144bb9b08baa
15290dd8977c
hex174f167c22

100111121442 has 24 divisors (see below), whose sum is σ = 226338188544. Its totient is φ = 31919487864.

The previous prime is 100111121441. The next prime is 100111121443. The reversal of 100111121442 is 244121111001.

100111121442 is a `hidden beast` number, since 100 + 1 + 1 + 1 + 121 + 442 = 666.

It is an interprime number because it is at equal distance from previous prime (100111121441) and next prime (100111121443).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100111121441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120906738 + ... + 120907565.

It is an arithmetic number, because the mean of its divisors is an integer number (9430757856).

Almost surely, 2100111121442 is an apocalyptic number.

100111121442 is an abundant number, since it is smaller than the sum of its proper divisors (126227067102).

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

100111121442 is a wasteful number, since it uses less digits than its factorization.

100111121442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241814334 (or 241814331 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100111121442 its reverse (244121111001), we get a palindrome (344232232443).

The spelling of 100111121442 in words is "one hundred billion, one hundred eleven million, one hundred twenty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 241814303 483628606 725442909 1450885818 2176328727 4352657454 5561728969 11123457938 16685186907 33370373814 50055560721 100111121442