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32130120331233 = 3247932029736697
BaseRepresentation
bin1110100111000111000000…
…11010001010111111100001
311012202121110022220022111100
413103203200122022333201
513202404441301044413
6152200212402305013
76524216222432451
oct723434032127741
9135677408808440
1032130120331233
11a268342329671
12372b048358169
1314c0b1b789a52
147d116b2a9d61
153aaba1488a73
hex1d38e068afe1

32130120331233 has 24 divisors (see below), whose sum is σ = 46423408761288. Its totient is φ = 21413972524032.

The previous prime is 32130120331229. The next prime is 32130120331237. The reversal of 32130120331233 is 33213302103123.

32130120331233 is a `hidden beast` number, since 3 + 2 + 1 + 301 + 2 + 0 + 331 + 23 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (32130120331229) and next prime (32130120331237).

It can be written as a sum of positive squares in 4 ways, for example, as 5701555410849 + 26428564920384 = 2387793^2 + 5140872^2 .

It is not a de Polignac number, because 32130120331233 - 22 = 32130120331229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32130120331197 and 32130120331206.

It is not an unprimeable number, because it can be changed into a prime (32130120331237) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 875533341 + ... + 875570037.

It is an arithmetic number, because the mean of its divisors is an integer number (1934308698387).

Almost surely, 232130120331233 is an apocalyptic number.

It is an amenable number.

32130120331233 is a deficient number, since it is larger than the sum of its proper divisors (14293288430055).

32130120331233 is a wasteful number, since it uses less digits than its factorization.

32130120331233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61793 (or 61790 counting only the distinct ones).

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

Adding to 32130120331233 its reverse (33213302103123), we get a palindrome (65343422434356).

The spelling of 32130120331233 in words is "thirty-two trillion, one hundred thirty billion, one hundred twenty million, three hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 4793 14379 20297 36697 43137 60891 110091 182673 330273 97283521 175888721 291850563 527666163 744839009 875551689 1582998489 2234517027 6703551081 3570013370137 10710040110411 32130120331233