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10132331211231 = 3591132102324097
BaseRepresentation
bin1001001101110001111000…
…0000001010100111011111
31022212122022120202022001220
42103130132000022213133
52312002003242224411
633314421222104423
72064015420154665
oct223343600124737
938778276668056
1010132331211231
1132571089016a9
12117786927b113
13586622cb2588
1427059c06cc35
15128872790b06
hex9371e00a9df

10132331211231 has 32 divisors (see below), whose sum is σ = 13861570590720. Its totient is φ = 6581047087104.

The previous prime is 10132331211227. The next prime is 10132331211293. The reversal of 10132331211231 is 13211213323101.

10132331211231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10132331211231 - 22 = 10132331211227 is a prime.

It is a super-2 number, since 2×101323312112312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132331212231) 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, 420468975 + ... + 420493071.

It is an arithmetic number, because the mean of its divisors is an integer number (433174080960).

Almost surely, 210132331211231 is an apocalyptic number.

10132331211231 is a deficient number, since it is larger than the sum of its proper divisors (3729239379489).

10132331211231 is a wasteful number, since it uses less digits than its factorization.

10132331211231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45295.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 10132331211231 its reverse (13211213323101), we get a palindrome (23343544534332).

The spelling of 10132331211231 in words is "ten trillion, one hundred thirty-two billion, three hundred thirty-one million, two hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 59 113 177 339 6667 20001 21023 24097 63069 72291 1240357 1421723 2375599 2722961 3721071 4265169 7126797 8168883 140160341 160654699 420481023 481964097 506591231 1519773693 29888882629 57244809103 89666647887 171734427309 3377443737077 10132331211231