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101931813 = 32173121491
BaseRepresentation
bin1100001001101…
…01101100100101
321002210200011100
412010311230211
5202043304223
614040430313
72345256204
oct604655445
9232720140
10101931813
11525a0975
122a178399
131816bba9
14d77523b
158e37043
hex6135b25

101931813 has 24 divisors (see below), whose sum is σ = 160932096. Its totient is φ = 61891200.

The previous prime is 101931811. The next prime is 101931821. The reversal of 101931813 is 318139101.

It is a happy number.

It is not a de Polignac number, because 101931813 - 21 = 101931811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101931811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6003 + ... + 15488.

It is an arithmetic number, because the mean of its divisors is an integer number (6705504).

Almost surely, 2101931813 is an apocalyptic number.

It is an amenable number.

101931813 is a deficient number, since it is larger than the sum of its proper divisors (59000283).

101931813 is a wasteful number, since it uses less digits than its factorization.

101931813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21545 (or 21542 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 101931813 is about 10096.1286144740. The cubic root of 101931813 is about 467.1287345681.

The spelling of 101931813 in words is "one hundred one million, nine hundred thirty-one thousand, eight hundred thirteen".

Divisors: 1 3 9 17 31 51 93 153 279 527 1581 4743 21491 64473 193419 365347 666221 1096041 1998663 3288123 5995989 11325757 33977271 101931813