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122213141442 = 2337616438243
BaseRepresentation
bin111000111010001111…
…0001000101111000010
3102200110020120211211000
41301310132020233002
54000243031011232
6132051031432430
711554361363550
oct1616436105702
9380406524730
10122213141442
1147915150037
121b828b25716
13b6a886a412
145cb5244bd0
1532a441b27c
hex1c74788bc2

122213141442 has 128 divisors (see below), whose sum is σ = 315999774720. Its totient is φ = 34288038720.

The previous prime is 122213141417. The next prime is 122213141447. The reversal of 122213141442 is 244141312221.

122213141442 is a `hidden beast` number, since 1 + 2 + 2 + 213 + 1 + 4 + 1 + 442 = 666.

It is a super-2 number, since 2×1222131414422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122213141447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14822173 + ... + 14830415.

It is an arithmetic number, because the mean of its divisors is an integer number (2468748240).

Almost surely, 2122213141442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122213141442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157999887360).

122213141442 is an abundant number, since it is smaller than the sum of its proper divisors (193786633278).

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

122213141442 is a wasteful number, since it uses less digits than its factorization.

122213141442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8965 (or 8959 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 122213141442 its reverse (244141312221), we get a palindrome (366354453663).

The spelling of 122213141442 in words is "one hundred twenty-two billion, two hundred thirteen million, one hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 366 378 427 549 643 854 1098 1281 1286 1647 1929 2562 3294 3843 3858 4501 5787 7686 8243 9002 11529 11574 13503 16486 17361 23058 24729 27006 34722 39223 40509 49458 57701 74187 78446 81018 115402 117669 121527 148374 173103 222561 235338 243054 274561 346206 353007 445122 502823 519309 549122 706014 823683 1005646 1038618 1059021 1508469 1557927 1647366 2118042 2471049 3016938 3115854 3519761 4525407 4942098 5300249 7039522 7413147 9050814 10559283 10600498 13576221 14826294 15900747 21118566 27152442 31677849 31801494 37101743 47702241 63355698 74203486 95033547 95404482 111305229 143106723 190067094 222610458 286213446 323315189 333915687 646630378 667831374 969945567 1001747061 1939891134 2003494122 2263206323 2909836701 4526412646 5819673402 6789618969 8729510103 13579237938 17459020206 20368856907 40737713814 61106570721 122213141442