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101312997 = 31979149151
BaseRepresentation
bin1100000100111…
…10100111100101
321001122020022020
412002132213211
5201414003442
614015253353
72340101112
oct602364745
9231566266
10101312997
1152208a55
1229b1a259
1317cb3326
14d653909
158d639ec
hex609e9e5

101312997 has 32 divisors (see below), whose sum is σ = 145920000. Its totient is φ = 62337600.

The previous prime is 101312987. The next prime is 101313011. The reversal of 101312997 is 799213101.

It is not a de Polignac number, because 101312997 - 26 = 101312933 is a prime.

It is a super-2 number, since 2×1013129972 = 20528646722244018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312917) 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, 670872 + ... + 671022.

It is an arithmetic number, because the mean of its divisors is an integer number (4560000).

Almost surely, 2101312997 is an apocalyptic number.

It is an amenable number.

101312997 is a deficient number, since it is larger than the sum of its proper divisors (44607003).

101312997 is a wasteful number, since it uses less digits than its factorization.

101312997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 3402, while the sum is 33.

The square root of 101312997 is about 10065.4357580782. The cubic root of 101312997 is about 466.1815207044.

The spelling of 101312997 in words is "one hundred one million, three hundred twelve thousand, nine hundred ninety-seven".

Divisors: 1 3 19 57 79 149 151 237 447 453 1501 2831 2869 4503 8493 8607 11771 11929 22499 35313 35787 67497 223649 226651 427481 670947 679953 1282443 1777421 5332263 33770999 101312997