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332013134331 = 33123124374099
BaseRepresentation
bin1001101010011011000…
…01100110000111111011
31011201222120021202021000
410311031201212013323
520414430330244311
6412305201420043
732662411035444
oct4651541460773
91151876252230
10332013134331
11118895838a0a
125441a63a623
13254022b9448
14120d8aa42cb
158982de2056
hex4d4d8661fb

332013134331 has 32 divisors (see below), whose sum is σ = 492593024000. Its totient is φ = 221017597920.

The previous prime is 332013134311. The next prime is 332013134339. The reversal of 332013134331 is 133431310233.

332013134331 is a `hidden beast` number, since 3 + 320 + 1 + 3 + 1 + 3 + 4 + 331 = 666.

It is not a de Polignac number, because 332013134331 - 26 = 332013134267 is a prime.

It is a super-2 number, since 2×3320131343312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 332013134295 and 332013134304.

It is not an unprimeable number, because it can be changed into a prime (332013134339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80996520 + ... + 81000618.

It is an arithmetic number, because the mean of its divisors is an integer number (15393532000).

Almost surely, 2332013134331 is an apocalyptic number.

332013134331 is a deficient number, since it is larger than the sum of its proper divisors (160579889669).

332013134331 is a wasteful number, since it uses less digits than its factorization.

332013134331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 332013134331 its reverse (133431310233), we get a palindrome (465444444564).

The spelling of 332013134331 in words is "three hundred thirty-two billion, thirteen million, one hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 27 1231 2437 3693 4099 7311 11079 12297 21933 33237 36891 65799 110673 2999947 5045869 8999841 9989263 15137607 26999523 29967789 45412821 80998569 89903367 136238463 269710101 12296782753 36890348259 110671044777 332013134331