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123031134503144 = 23721092879403073
BaseRepresentation
bin11011111110010101101011…
…000100011000000011101000
3121010121122212022002221111122
4123332111223010120003220
5112111220230413100034
61113355420052514412
734625464130305400
oct3376255304300350
9533548768087448
10123031134503144
1136224236014a1a
121197031201ba08
135385a2b3931aa
142254a4ad31800
15e354c73c262e
hex6fe56b1180e8

123031134503144 has 48 divisors (see below), whose sum is σ = 270807859109700. Its totient is φ = 52243889338368.

The previous prime is 123031134503107. The next prime is 123031134503159. The reversal of 123031134503144 is 441305431130321.

It can be written as a sum of positive squares in 2 ways, for example, as 120449527502500 + 2581607000644 = 10974950^2 + 1606738^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1439658809 + ... + 1439744264.

Almost surely, 2123031134503144 is an apocalyptic number.

123031134503144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123031134503144 is an abundant number, since it is smaller than the sum of its proper divisors (147776724606556).

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

123031134503144 is a wasteful number, since it uses less digits than its factorization.

123031134503144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879403202 (or 2879403191 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 123031134503144 its reverse (441305431130321), we get a palindrome (564336565633465).

The spelling of 123031134503144 in words is "one hundred twenty-three trillion, thirty-one billion, one hundred thirty-four million, five hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 109 196 218 392 436 763 872 1526 3052 5341 6104 10682 21364 42728 2879403073 5758806146 11517612292 20155821511 23035224584 40311643022 80623286044 141090750577 161246572088 282181501154 313854934957 564363002308 627709869914 1128726004616 1255419739828 2196984544699 2510839479656 4393969089398 8787938178796 15378891812893 17575876357592 30757783625786 61515567251572 123031134503144