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10132133231031 = 376131325270127
BaseRepresentation
bin1001001101110001001000…
…1100111011100110110111
31022212121210210012212021220
42103130102030323212313
52312001102101343111
633314345430441423
72064010464312150
oct223342214734667
938777723185256
1010132133231031
1132570170791a9
121177812b03273
135865c0c84726
1427057da54927
151288601d4e06
hex9371233b9b7

10132133231031 has 32 divisors (see below), whose sum is σ = 15742683260928. Its totient is φ = 5676681104640.

The previous prime is 10132133231029. The next prime is 10132133231041. The reversal of 10132133231031 is 13013233123101.

It is not a de Polignac number, because 10132133231031 - 21 = 10132133231029 is a prime.

It is a super-2 number, since 2×101321332310312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10132133230992 and 10132133231010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132133231041) 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, 12234111 + ... + 13036016.

It is an arithmetic number, because the mean of its divisors is an integer number (491958851904).

Almost surely, 210132133231031 is an apocalyptic number.

10132133231031 is a deficient number, since it is larger than the sum of its proper divisors (5610550029897).

10132133231031 is a wasteful number, since it uses less digits than its factorization.

10132133231031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25270511.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 10132133231031 its reverse (13013233123101), we get a palindrome (23145366354132).

The spelling of 10132133231031 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-three million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 21 61 183 313 427 939 1281 2191 6573 19093 57279 133651 400953 25270127 75810381 176890889 530672667 1541477747 4624433241 7909549751 10790344229 23728649253 32371032687 55366848257 166100544771 482482534811 1447447604433 3377377743677 10132133231031