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103131621 = 32103311093
BaseRepresentation
bin1100010010110…
…10100111100101
321012001121222200
412021122213211
5202400202441
614122245113
72361414165
oct611324745
9235047880
10103131621
115324034a
122a656799
131849c038
14d9a85a5
1590c27b6
hex625a9e5

103131621 has 12 divisors (see below), whose sum is σ = 149125548. Its totient is φ = 68681664.

The previous prime is 103131619. The next prime is 103131649. The reversal of 103131621 is 126131301.

103131621 is a `hidden beast` number, since 10 + 3 + 1 + 31 + 621 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93896100 + 9235521 = 9690^2 + 3039^2 .

It is not a de Polignac number, because 103131621 - 21 = 103131619 is a prime.

It is a super-2 number, since 2×1031316212 = 21272262500175282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103131594 and 103131603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3751 + ... + 14843.

It is an arithmetic number, because the mean of its divisors is an integer number (12427129).

Almost surely, 2103131621 is an apocalyptic number.

It is an amenable number.

103131621 is a deficient number, since it is larger than the sum of its proper divisors (45993927).

103131621 is a wasteful number, since it uses less digits than its factorization.

103131621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12132 (or 12129 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 103131621 is about 10155.3739960673. The cubic root of 103131621 is about 468.9543996048.

Adding to 103131621 its reverse (126131301), we get a palindrome (229262922).

The spelling of 103131621 in words is "one hundred three million, one hundred thirty-one thousand, six hundred twenty-one".

Divisors: 1 3 9 1033 3099 9297 11093 33279 99837 11459069 34377207 103131621