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10002513521 = 731121318539
BaseRepresentation
bin10010101000011001…
…00011111001110001
3221211002111100000202
421110030203321301
5130441120413041
64332312324545
7502604651000
oct112414437161
927732440022
1010002513521
114273181500
121b319a3755
13c3538a570
146ac618c37
153d8207a9b
hex254323e71

10002513521 has 48 divisors (see below), whose sum is σ = 13808592000. Its totient is φ = 7194227040.

The previous prime is 10002513473. The next prime is 10002513541. The reversal of 10002513521 is 12531520001.

It is a happy number.

It is not a de Polignac number, because 10002513521 - 222 = 9998319217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002513493 and 10002513502.

It is not an unprimeable number, because it can be changed into a prime (10002513541) 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, 530270 + ... + 548808.

It is an arithmetic number, because the mean of its divisors is an integer number (287679000).

Almost surely, 210002513521 is an apocalyptic number.

10002513521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002513521 is a deficient number, since it is larger than the sum of its proper divisors (3806078479).

10002513521 is a wasteful number, since it uses less digits than its factorization.

10002513521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18595 (or 18570 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 10002513521 in words is "ten billion, two million, five hundred thirteen thousand, five hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 121 143 343 539 637 847 1001 1573 3773 4459 5929 7007 11011 18539 41503 49049 77077 129773 203929 241007 539539 908411 1427503 1687049 2243219 2651077 6358877 9992521 11809343 15702533 18557539 29161847 69947647 82665401 109917731 129902773 204132929 769424117 909319411 1428930503 10002513521