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106130100176 = 2423092872729
BaseRepresentation
bin110001011010111011…
…0001100111111010000
3101010221101111200210222
41202311312030333100
53214323301201201
6120431104212212
710445000652452
oct1426566147720
9333841450728
10106130100176
11410117470a1
121869a90a068
13a01482a759
1451cb2582d2
152b624c091b
hex18b5d8cfd0

106130100176 has 20 divisors (see below), whose sum is σ = 205716195300. Its totient is φ = 53042049792.

The previous prime is 106130100161. The next prime is 106130100191. The reversal of 106130100176 is 671001031601.

It is an interprime number because it is at equal distance from previous prime (106130100161) and next prime (106130100191).

It can be written as a sum of positive squares in 2 ways, for example, as 51175488400 + 54954611776 = 226220^2 + 234424^2 .

It is a super-2 number, since 2×1061301001762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1399421 + ... + 1473308.

It is an arithmetic number, because the mean of its divisors is an integer number (10285809765).

Almost surely, 2106130100176 is an apocalyptic number.

106130100176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106130100176 is a deficient number, since it is larger than the sum of its proper divisors (99586095124).

106130100176 is a wasteful number, since it uses less digits than its factorization.

106130100176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875046 (or 2875040 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 106130100176 its reverse (671001031601), we get a palindrome (777131131777).

The spelling of 106130100176 in words is "one hundred six billion, one hundred thirty million, one hundred thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 2309 4618 9236 18472 36944 2872729 5745458 11490916 22981832 45963664 6633131261 13266262522 26532525044 53065050088 106130100176