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100012211442 = 232112133532253
BaseRepresentation
bin101110100100100110…
…0010011110011110010
3100120011000121202012100
41131021030103303302
53114311111231232
6113540040441230
710140252525243
oct1351114236362
9316130552170
10100012211442
1139462316800
1217471a79216
13957b1c6a50
144baa91ccca
15290534cc7c
hex1749313cf2

100012211442 has 72 divisors (see below), whose sum is σ = 256505220972. Its totient is φ = 27975435840.

The previous prime is 100012211413. The next prime is 100012211461. The reversal of 100012211442 is 244112210001.

100012211442 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 221 + 1 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99798496281 + 213715161 = 315909^2 + 14619^2 .

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1737813 + ... + 1794440.

Almost surely, 2100012211442 is an apocalyptic number.

100012211442 is an abundant number, since it is smaller than the sum of its proper divisors (156493009530).

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

100012211442 is a wasteful number, since it uses less digits than its factorization.

100012211442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532296 (or 3532282 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100012211442 its reverse (244112210001), we get a palindrome (344124421443).

The spelling of 100012211442 in words is "one hundred billion, twelve million, two hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2574 3146 4719 9438 14157 28314 3532253 7064506 10596759 21193518 31790277 38854783 45919289 63580554 77709566 91838578 116564349 137757867 233128698 275515734 349693047 413273601 427402613 505112179 699386094 826547202 854805226 1010224358 1282207839 1515336537 2564415678 3030673074 3846623517 4546009611 5556233969 7693247034 9092019222 11112467938 16668701907 33337403814 50006105721 100012211442