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102041825608917 = 3273849153529237
BaseRepresentation
bin10111001100111001110110…
…110001001000010011010101
3111101022002210021102110101100
4113030321312301020103111
5101333323124323441132
61001005211215420313
730331164364355145
oct2714716661102325
9441262707373340
10102041825608917
112a571771370aa7
12b540480b24699
1344c266ca4801c
141b2abca4d0925
15bbe51e69a37c
hex5cce76c484d5

102041825608917 has 12 divisors (see below), whose sum is σ = 147395744941900. Its totient is φ = 68026962120768.

The previous prime is 102041825608897. The next prime is 102041825608937. The reversal of 102041825608917 is 719806528140201.

102041825608917 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 1 + 8 + 25 + 608 + 9 + 1 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (102041825608897) and next prime (102041825608937).

It can be written as a sum of positive squares in 2 ways, for example, as 90385159566321 + 11656666042596 = 9507111^2 + 3414186^2 .

It is not a de Polignac number, because 102041825608917 - 28 = 102041825608661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102041825608937) 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, 76099978 + ... + 77429259.

Almost surely, 2102041825608917 is an apocalyptic number.

It is an amenable number.

102041825608917 is a deficient number, since it is larger than the sum of its proper divisors (45353919332983).

102041825608917 is a wasteful number, since it uses less digits than its factorization.

102041825608917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153603092 (or 153603089 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 102041825608917 in words is "one hundred two trillion, forty-one billion, eight hundred twenty-five million, six hundred eight thousand, nine hundred seventeen".

Divisors: 1 3 9 73849 221547 664641 153529237 460587711 1381763133 11337980623213 34013941869639 102041825608917