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106031465001 = 32721121857651
BaseRepresentation
bin110001010111111110…
…1111100001000101001
3101010200111220111210100
41202233331330020221
53214123023340001
6120413222140013
710442362403400
oct1425775741051
9333614814710
10106031465001
1140a70aa8020
1218671881609
139cca274247
1451bc100637
152b589da586
hex18aff7c229

106031465001 has 36 divisors (see below), whose sum is σ = 194358241584. Its totient is φ = 55081278000.

The previous prime is 106031464967. The next prime is 106031465041. The reversal of 106031465001 is 100564130601.

106031465001 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 3 + 1 + 4 + 650 + 0 + 1 = 666.

It is not a de Polignac number, because 106031465001 - 29 = 106031464489 is a prime.

It is a super-2 number, since 2×1060314650012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106031465041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10923975 + ... + 10933676.

It is an arithmetic number, because the mean of its divisors is an integer number (5398840044).

Almost surely, 2106031465001 is an apocalyptic number.

106031465001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106031465001 is a deficient number, since it is larger than the sum of its proper divisors (88326776583).

106031465001 is a wasteful number, since it uses less digits than its factorization.

106031465001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21857682 (or 21857672 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 106031465001 its reverse (100564130601), we get a palindrome (206595595602).

The spelling of 106031465001 in words is "one hundred six billion, thirty-one million, four hundred sixty-five thousand, one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 21857651 65572953 153003557 196718859 240434161 459010671 721302483 1071024899 1377032013 1683039127 2163907449 3213074697 5049117381 9639224091 11781273889 15147352143 35343821667 106031465001