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102002013321 = 3132943721319
BaseRepresentation
bin101111011111111001…
…0110011010010001001
3100202021200210011020020
41132333302303102021
53132400003411241
6114505321051053
710240463544015
oct1367762632211
9322250704206
10102002013321
113a29352836a
1217928326a89
139807510300
144d18cc1545
1529bed98b66
hex17bfcb3489

102002013321 has 24 divisors (see below), whose sum is σ = 147291693120. Its totient is φ = 62760874176.

The previous prime is 102002013307. The next prime is 102002013343. The reversal of 102002013321 is 123310200201.

It is not a de Polignac number, because 102002013321 - 26 = 102002013257 is a prime.

It is a super-2 number, since 2×1020020133212 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102002013321.

It is not an unprimeable number, because it can be changed into a prime (102002013301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4773900 + ... + 4795218.

It is an arithmetic number, because the mean of its divisors is an integer number (6137153880).

Almost surely, 2102002013321 is an apocalyptic number.

It is an amenable number.

102002013321 is a deficient number, since it is larger than the sum of its proper divisors (45289679799).

102002013321 is a wasteful number, since it uses less digits than its factorization.

102002013321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30785 (or 30772 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102002013321 its reverse (123310200201), we get a palindrome (225312213522).

The spelling of 102002013321 in words is "one hundred two billion, two million, thirteen thousand, three hundred twenty-one".

Divisors: 1 3 13 39 169 507 9437 21319 28311 63957 122681 277147 368043 831441 1594853 3602911 4784559 10808733 201187403 603562209 2615436239 7846308717 34000671107 102002013321