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100311312031 = 7227613102983
BaseRepresentation
bin101110101101100000…
…1010010011010011111
3100120220212102122001221
41131123001102122133
53120414143441111
6114025443314211
710150544040520
oct1353301223237
9316825378057
10100311312031
11395a6136477
121753607b967
1395c816b348
144bd853a847
152921730371
hex175b05269f

100311312031 has 16 divisors (see below), whose sum is σ = 115335489024. Its totient is φ = 85461878304.

The previous prime is 100311312029. The next prime is 100311312061. The reversal of 100311312031 is 130213113001.

It is a cyclic number.

It is not a de Polignac number, because 100311312031 - 21 = 100311312029 is a prime.

It is a super-2 number, since 2×1003113120312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100311311996 and 100311312014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311312061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922566 + ... + 1025548.

It is an arithmetic number, because the mean of its divisors is an integer number (7208468064).

Almost surely, 2100311312031 is an apocalyptic number.

100311312031 is a deficient number, since it is larger than the sum of its proper divisors (15024176993).

100311312031 is a wasteful number, since it uses less digits than its factorization.

100311312031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103830.

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

Adding to 100311312031 its reverse (130213113001), we get a palindrome (230524425032).

The spelling of 100311312031 in words is "one hundred billion, three hundred eleven million, three hundred twelve thousand, thirty-one".

Divisors: 1 7 227 613 1589 4291 102983 139151 720881 974057 23377141 63128579 163639987 441900053 14330187433 100311312031