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132211122023313 = 32112431713065821
BaseRepresentation
bin11110000011111011001100…
…111101101010101110010001
3122100010021000102012010222200
4132003323030331222232101
5114312121334214221223
61145104541224353413
736563636565615504
oct3603731475525621
9570107012163880
10132211122023313
1139143470710a13
12129b3499315869
1358a05bc417bb8
1424910a3cc513b
1510441ac13ea43
hex783eccf6ab91

132211122023313 has 12 divisors (see below), whose sum is σ = 190971805172148. Its totient is φ = 88140662874720.

The previous prime is 132211122023297. The next prime is 132211122023341. The reversal of 132211122023313 is 313320221112231.

132211122023313 is a `hidden beast` number, since 1 + 3 + 221 + 1 + 122 + 0 + 2 + 3 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98113323817089 + 34097798206224 = 9905217^2 + 5839332^2 .

It is not a de Polignac number, because 132211122023313 - 24 = 132211122023297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132211122423313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3585943 + ... + 16651763.

It is an arithmetic number, because the mean of its divisors is an integer number (15914317097679).

Almost surely, 2132211122023313 is an apocalyptic number.

It is an amenable number.

132211122023313 is a deficient number, since it is larger than the sum of its proper divisors (58760683148835).

132211122023313 is a wasteful number, since it uses less digits than its factorization.

132211122023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14190144 (or 14190141 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132211122023313 its reverse (313320221112231), we get a palindrome (445531343135544).

The spelling of 132211122023313 in words is "one hundred thirty-two trillion, two hundred eleven billion, one hundred twenty-two million, twenty-three thousand, three hundred thirteen".

Divisors: 1 3 9 1124317 3372951 10118853 13065821 39197463 117592389 14690124669257 44070374007771 132211122023313