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102123143013141 = 3217202165962969
BaseRepresentation
bin10111001110000101100101…
…101010011010001100010101
3111101120212200102110121020100
4113032011211222122030111
5101341141144102410031
61001110420233524313
730340103454035325
oct2716054552321425
9441525612417210
10102123143013141
112a5a31aa9823a8
12b554195b73699
1344ca22ba9c863
141b30b021db285
15bc16cd645de6
hex5ce165a9a315

102123143013141 has 12 divisors (see below), whose sum is σ = 147512066329420. Its totient is φ = 68081698532160.

The previous prime is 102123143013127. The next prime is 102123143013173. The reversal of 102123143013141 is 141310341321201.

102123143013141 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 314 + 30 + 1 + 314 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95519933964900 + 6603209048241 = 9773430^2 + 2569671^2 .

It is not a de Polignac number, because 102123143013141 - 26 = 102123143013077 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 (102123143113141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31433296 + ... + 34529673.

Almost surely, 2102123143013141 is an apocalyptic number.

It is an amenable number.

102123143013141 is a deficient number, since it is larger than the sum of its proper divisors (45388923316279).

102123143013141 is a wasteful number, since it uses less digits than its factorization.

102123143013141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66134996 (or 66134993 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 102123143013141 its reverse (141310341321201), we get a palindrome (243433484334342).

The spelling of 102123143013141 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred forty-three million, thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 172021 516063 1548189 65962969 197888907 593666721 11347015890349 34041047671047 102123143013141