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1110100133129 = 1326568639841
BaseRepresentation
bin10000001001110111000…
…111111100010100001001
310221010100210020200200112
4100021313013330110021
5121141441113230004
62205550054244105
7143126213304551
oct20116707742411
93833323220615
101110100133129
11398877648559
1215b18a356635
13808b3454a00
143ba2ca54161
151dd2253ce6e
hex102771fc509

1110100133129 has 6 divisors (see below), whose sum is σ = 1202061091086. Its totient is φ = 1024707815040.

The previous prime is 1110100133113. The next prime is 1110100133159. The reversal of 1110100133129 is 9213310010111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 85243561225 + 1024856571904 = 291965^2 + 1012352^2 .

It is not a de Polignac number, because 1110100133129 - 24 = 1110100133113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1110100133159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3284319752 + ... + 3284320089.

It is an arithmetic number, because the mean of its divisors is an integer number (200343515181).

Almost surely, 21110100133129 is an apocalyptic number.

It is an amenable number.

1110100133129 is a deficient number, since it is larger than the sum of its proper divisors (91960957957).

1110100133129 is an equidigital number, since it uses as much as digits as its factorization.

1110100133129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568639867 (or 6568639854 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 1110100133129 in words is "one trillion, one hundred ten billion, one hundred million, one hundred thirty-three thousand, one hundred twenty-nine".

Divisors: 1 13 169 6568639841 85392317933 1110100133129