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332323121232 = 243217135752909
BaseRepresentation
bin1001101011000000000…
…00000110100001010000
31011202210011120201100100
410311200000012201100
520421044204334412
6412400033452400
733003163631364
oct4654000064120
91152704521310
10332323121232
11118a34813733
12544a6411100
13254515a2b4b
1412127d172a4
1589a0224edc
hex4d60006850

332323121232 has 60 divisors (see below), whose sum is σ = 984751609140. Its totient is φ = 104258233344.

The previous prime is 332323121227. The next prime is 332323121237. The reversal of 332323121232 is 232121323233.

332323121232 is a `hidden beast` number, since 3 + 323 + 2 + 312 + 1 + 23 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (332323121227) and next prime (332323121237).

It can be written as a sum of positive squares in 2 ways, for example, as 104370348096 + 227952773136 = 323064^2 + 477444^2 .

It is a super-2 number, since 2×3323231212322 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 332323121196 and 332323121205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332323121237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67874007 + ... + 67878902.

It is an arithmetic number, because the mean of its divisors is an integer number (16412526819).

Almost surely, 2332323121232 is an apocalyptic number.

It is an amenable number.

332323121232 is an abundant number, since it is smaller than the sum of its proper divisors (652428487908).

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

332323121232 is a wasteful number, since it uses less digits than its factorization.

332323121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135752940 (or 135752931 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 332323121232 its reverse (232121323233), we get a palindrome (564444444465).

The spelling of 332323121232 in words is "three hundred thirty-two billion, three hundred twenty-three million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 135752909 271505818 407258727 543011636 814517454 1086023272 1221776181 1629034908 2172046544 2307799453 2443552362 3258069816 4615598906 4887104724 6516139632 6923398359 9231197812 9774209448 13846796718 18462395624 19548418896 20770195077 27693593436 36924791248 41540390154 55387186872 83080780308 110774373744 166161560616 332323121232