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102302312013 = 33112175317863
BaseRepresentation
bin101111101000110110…
…0010110011001001101
3100210001121211220121000
41133101230112121031
53134003342441023
6114555205330513
710251101206266
oct1372154263115
9323047756530
10102302312013
113a427a96200
12179b0a06a39
1398547b4045
144d46b3196d
1529db416243
hex17d1b1664d

102302312013 has 48 divisors (see below), whose sum is σ = 166693985920. Its totient is φ = 61962563520.

The previous prime is 102302311973. The next prime is 102302312033. The reversal of 102302312013 is 310213203201.

102302312013 is a `hidden beast` number, since 1 + 0 + 230 + 231 + 201 + 3 = 666.

It is not a de Polignac number, because 102302312013 - 222 = 102298117709 is a prime.

It is a super-2 number, since 2×1023023120132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102302312033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5718120 + ... + 5735982.

Almost surely, 2102302312013 is an apocalyptic number.

It is an amenable number.

102302312013 is a deficient number, since it is larger than the sum of its proper divisors (64391673907).

102302312013 is a wasteful number, since it uses less digits than its factorization.

102302312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19647 (or 19630 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102302312013 its reverse (310213203201), we get a palindrome (412515515214).

The spelling of 102302312013 in words is "one hundred two billion, three hundred two million, three hundred twelve thousand, thirteen".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 1753 3267 5259 15777 17863 19283 47331 53589 57849 160767 173547 196493 212113 482301 520641 589479 636339 1768437 1909017 2161423 5305311 5727051 6484269 19452807 31313839 58358421 93941517 281824551 344452229 845473653 1033356687 3100070061 3788974519 9300210183 11366923557 34100770671 102302312013