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1123041023442 = 2321317942316337
BaseRepresentation
bin10000010101111010011…
…101100001010111010010
310222100202122211000220100
4100111322131201113102
5121344442000222232
62215530134353230
7144065001124002
oct20257235412722
93870678730810
101123041023442
113a330841aa28
121617a01bb816
1381b964cba60
143c4d95d4002
151e32d6b5c7c
hex1057a7615d2

1123041023442 has 96 divisors (see below), whose sum is σ = 2636107044480. Its totient is φ = 343485204480.

The previous prime is 1123041023411. The next prime is 1123041023443. The reversal of 1123041023442 is 2443201403211.

1123041023442 is a `hidden beast` number, since 1 + 1 + 2 + 304 + 10 + 2 + 344 + 2 = 666.

It is a super-2 number, since 2×11230410234422 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1123041023443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177216498 + ... + 177222834.

It is an arithmetic number, because the mean of its divisors is an integer number (27459448380).

Almost surely, 21123041023442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123041023442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318053522240).

1123041023442 is an abundant number, since it is smaller than the sum of its proper divisors (1513066021038).

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

1123041023442 is a wasteful number, since it uses less digits than its factorization.

1123041023442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10768 (or 10765 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1123041023442 its reverse (2443201403211), we get a palindrome (3566242426653).

The spelling of 1123041023442 in words is "one trillion, one hundred twenty-three billion, forty-one million, twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 179 234 358 537 1074 1611 2327 3222 4231 4654 6337 6981 8462 12674 12693 13962 19011 20943 25386 38022 38079 41886 55003 57033 76158 82381 110006 114066 164762 165009 247143 330018 494286 495027 741429 757349 990054 1134323 1482858 1514698 2268646 2272047 3402969 4544094 6805938 6816141 9845537 10208907 13632282 14746199 19691074 20417814 26811847 29492398 29536611 44238597 53623694 59073222 80435541 88477194 88609833 132715791 160871082 177219666 241306623 265431582 348554011 482613246 697108022 1045662033 2091324066 3136986099 4799320613 6273972198 9598641226 14397961839 28795923678 43193885517 62391167969 86387771034 124782335938 187173503907 374347007814 561520511721 1123041023442