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332122130232032 = 2572387803734197
BaseRepresentation
bin100101110000100000011010…
…1100110000011001011100000
31121112221120021022001210210102
41023201000311212003023200
5322012442110314411112
63134210444511121532
7126646013666416640
oct11341006546031340
91545846238053712
10332122130232032
1196908228123318
12312bb5b15132a8
1311341ca07070ca
145c02b22894520
15285e3d3605bc2
hex12e10359832e0

332122130232032 has 96 divisors (see below), whose sum is σ = 779774944338432. Its totient is φ = 136147708629504.

The previous prime is 332122130231999. The next prime is 332122130232043. The reversal of 332122130232032 is 230232031221233.

It is a super-2 number, since 2×3321221302320322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332122130231986 and 332122130232004.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 451993958 + ... + 452728154.

It is an arithmetic number, because the mean of its divisors is an integer number (8122655670192).

Almost surely, 2332122130232032 is an apocalyptic number.

332122130232032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

332122130232032 is an abundant number, since it is smaller than the sum of its proper divisors (447652814106400).

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

332122130232032 is a wasteful number, since it uses less digits than its factorization.

332122130232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822040 (or 822032 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 332122130232032 its reverse (230232031221233), we get a palindrome (562354161453265).

The spelling of 332122130232032 in words is "three hundred thirty-two trillion, one hundred twenty-two billion, one hundred thirty million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 87803 175606 351212 614621 702424 734197 1229242 1404848 1468394 2019469 2458484 2809696 2936788 4038938 4916968 5139379 5873576 8077876 9833936 10278758 11747152 14136283 16155752 16886531 19667872 20557516 23494304 28272566 32311504 33773062 41115032 56545132 64623008 67546124 82230064 113090264 118205717 135092248 164460128 226180528 236411434 270184496 452361056 472822868 540368992 945645736 1891291472 3782582944 64464699191 128929398382 257858796764 451252894337 515717593528 902505788674 1031435187056 1482688081393 1805011577348 2062870374112 2965376162786 3610023154696 5930752325572 7220046309392 10378816569751 11861504651144 14440092618784 20757633139502 23723009302288 41515266279004 47446018604576 83030532558008 166061065116016 332122130232032