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13014220320 = 253353012551
BaseRepresentation
bin11000001111011010…
…10011111000100000
31020120222112220002000
430013231103320200
5203123120022240
65551215524000
7640335022203
oct140755237040
936528486060
1013014220320
115579208392
122632529600
1312c53104aa
148b65cb93a
15512810430
hex307b53e20

13014220320 has 96 divisors (see below), whose sum is σ = 45549786240. Its totient is φ = 3470457600.

The previous prime is 13014220319. The next prime is 13014220327. The reversal of 13014220320 is 2302241031.

13014220320 is a `hidden beast` number, since 1 + 301 + 42 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13014220293 and 13014220302.

It is not an unprimeable number, because it can be changed into a prime (13014220327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501956 + ... + 1510595.

It is an arithmetic number, because the mean of its divisors is an integer number (474476940).

Almost surely, 213014220320 is an apocalyptic number.

13014220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13014220320 is an abundant number, since it is smaller than the sum of its proper divisors (32535565920).

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

13014220320 is a wasteful number, since it uses less digits than its factorization.

13014220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012575 (or 3012561 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13014220320 its reverse (2302241031), we get a palindrome (15316461351).

The spelling of 13014220320 in words is "thirteen billion, fourteen million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 3012551 6025102 9037653 12050204 15062755 18075306 24100408 27112959 30125510 36150612 45188265 48200816 54225918 60251020 72301224 81338877 90376530 96401632 108451836 120502040 135564795 144602448 162677754 180753060 216903672 241004080 271129590 289204896 325355508 361506120 406694385 433807344 482008160 542259180 650711016 723012240 813388770 867614688 1084518360 1301422032 1446024480 1626777540 2169036720 2602844064 3253555080 4338073440 6507110160 13014220320