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100311102133 = 112829017373
BaseRepresentation
bin101110101101100000…
…0011111001010110101
3100120220212000222010221
41131123000133022311
53120414120232013
6114025435014341
710150542204544
oct1353300371265
9316825028127
10100311102133
11395a6002800
1217535b9a3b1
1395c80c6948
144bd84c415b
1529216dd08d
hex175b01f2b5

100311102133 has 6 divisors (see below), whose sum is σ = 110259310742. Its totient is φ = 91191910920.

The previous prime is 100311102131. The next prime is 100311102149. The reversal of 100311102133 is 331201113001.

It can be written as a sum of positive squares in only one way, i.e., 82129815889 + 18181286244 = 286583^2 + 134838^2 .

It is not a de Polignac number, because 100311102133 - 21 = 100311102131 is a prime.

It is a super-2 number, since 2×1003111021332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311102131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 414508566 + ... + 414508807.

Almost surely, 2100311102133 is an apocalyptic number.

It is an amenable number.

100311102133 is a deficient number, since it is larger than the sum of its proper divisors (9948208609).

100311102133 is an equidigital number, since it uses as much as digits as its factorization.

100311102133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829017395 (or 829017384 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100311102133 its reverse (331201113001), we get a palindrome (431512215134).

The spelling of 100311102133 in words is "one hundred billion, three hundred eleven million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 11 121 829017373 9119191103 100311102133