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13720102280 = 2351720176621
BaseRepresentation
bin11001100011100100…
…00010010110001000
31022102011210102002022
430301302002112020
5211044321233110
610145233224012
7663665642123
oct146162022610
938364712068
1013720102280
115900704a05
1227aaa02008
1313a862bc21
149422573ba
15554795755
hex331c82588

13720102280 has 32 divisors (see below), whose sum is σ = 32686127640. Its totient is φ = 5165214720.

The previous prime is 13720102273. The next prime is 13720102283. The reversal of 13720102280 is 8220102731.

It can be written as a sum of positive squares in 4 ways, for example, as 11253390724 + 2466711556 = 106082^2 + 49666^2 .

It is a super-2 number, since 2×137201022802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13720102283) 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 7 ways as a sum of consecutive naturals, for example, 10087631 + ... + 10088990.

Almost surely, 213720102280 is an apocalyptic number.

13720102280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13720102280 is an abundant number, since it is smaller than the sum of its proper divisors (18966025360).

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

13720102280 is a wasteful number, since it uses less digits than its factorization.

13720102280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20176649 (or 20176645 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 13720102280 in words is "thirteen billion, seven hundred twenty million, one hundred two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 20176621 40353242 80706484 100883105 161412968 201766210 343002557 403532420 686005114 807064840 1372010228 1715012785 2744020456 3430025570 6860051140 13720102280