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13062656300 = 22521071976197
BaseRepresentation
bin11000010101001100…
…00101000100101100
31020201100200200202012
430022212011010230
5203223020000200
610000110020352
7641463514031
oct141246050454
936640620665
1013062656300
1155a3590021
1226467a76b8
13130236ba35
148bcbd9388
15516bcba35
hex30a98512c

13062656300 has 72 divisors (see below), whose sum is σ = 28760752944. Its totient is φ = 5149123840.

The previous prime is 13062656261. The next prime is 13062656303. The reversal of 13062656300 is 365626031.

It is a super-2 number, since 2×130626563002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13062656303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2104802 + ... + 2110998.

It is an arithmetic number, because the mean of its divisors is an integer number (399454902).

Almost surely, 213062656300 is an apocalyptic number.

13062656300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13062656300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14380376472).

13062656300 is an abundant number, since it is smaller than the sum of its proper divisors (15698096644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13062656300 is a wasteful number, since it uses less digits than its factorization.

13062656300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 13062656300 in words is "thirteen billion, sixty-two million, six hundred fifty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 197 214 394 428 535 788 985 1070 1970 2140 2675 3940 4925 5350 6197 9850 10700 12394 19700 21079 24788 30985 42158 61970 84316 105395 123940 154925 210790 309850 421580 526975 619700 663079 1053950 1220809 1326158 2107900 2441618 2652316 3315395 4883236 6104045 6630790 12208090 13261580 16576975 24416180 30520225 33153950 61040450 66307900 122080900 130626563 261253126 522506252 653132815 1306265630 2612531260 3265664075 6531328150 13062656300