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10123154540442 = 2332961105972767
BaseRepresentation
bin1001001101001111101100…
…0001111100011110011010
31022211202122001020010022000
42103103323001330132122
52311324210030243232
633310302450141430
72063242130562516
oct223237301743632
938752561203260
1010123154540442
113253229912059
121175b27b81876
135857bca55868
1426dd6b3c9146
151284d6d1727c
hex934fb07c79a

10123154540442 has 64 divisors (see below), whose sum is σ = 23653121817600. Its totient is φ = 3204616443840.

The previous prime is 10123154540419. The next prime is 10123154540509. The reversal of 10123154540442 is 24404545132101.

10123154540442 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 31 + 545 + 40 + 4 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10123154540397 and 10123154540406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52890858 + ... + 53081909.

It is an arithmetic number, because the mean of its divisors is an integer number (369580028400).

Almost surely, 210123154540442 is an apocalyptic number.

10123154540442 is an abundant number, since it is smaller than the sum of its proper divisors (13529967277158).

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

10123154540442 is a wasteful number, since it uses less digits than its factorization.

10123154540442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105972868 (or 105972862 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10123154540442 its reverse (24404545132101), we get a palindrome (34527699672543).

The spelling of 10123154540442 in words is "ten trillion, one hundred twenty-three billion, one hundred fifty-four million, five hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 61 87 122 174 183 261 366 522 549 783 1098 1566 1647 1769 3294 3538 5307 10614 15921 31842 47763 95526 105972767 211945534 317918301 635836602 953754903 1907509806 2861264709 3073210243 5722529418 6146420486 6464338787 9219630729 12928677574 18439261458 19393016361 27658892187 38786032722 55317784374 58179049083 82976676561 116358098166 165953353122 174537147249 187465824823 349074294498 374931649646 562397474469 1124794948938 1687192423407 3374384846814 5061577270221 10123154540442