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13137324420 = 22351161732261
BaseRepresentation
bin11000011110000101…
…11010100110000100
31020220120012020011010
430033002322212010
5203401123340140
610011334242220
7643361262243
oct141702724604
936816166133
1013137324420
11563174a310
1226677b6370
13131498325c
148c8ab495a
1551d52a880
hex30f0ba984

13137324420 has 96 divisors (see below), whose sum is σ = 40194838656. Its totient is φ = 3179545600.

The previous prime is 13137324401. The next prime is 13137324433. The reversal of 13137324420 is 2442373131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391090 + ... + 423350.

It is an arithmetic number, because the mean of its divisors is an integer number (418696236).

Almost surely, 213137324420 is an apocalyptic number.

13137324420 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 13137324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20097419328).

13137324420 is an abundant number, since it is smaller than the sum of its proper divisors (27057514236).

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

13137324420 is a wasteful number, since it uses less digits than its factorization.

13137324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32901 (or 32899 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

Adding to 13137324420 its reverse (2442373131), we get a palindrome (15579697551).

The spelling of 13137324420 in words is "thirteen billion, one hundred thirty-seven million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 617 660 1234 1851 2468 3085 3702 6170 6787 7404 9255 12340 13574 18510 20361 27148 32261 33935 37020 40722 64522 67870 81444 96783 101805 129044 135740 161305 193566 203610 322610 354871 387132 407220 483915 645220 709742 967830 1064613 1419484 1774355 1935660 2129226 3548710 4258452 5323065 7097420 10646130 19905037 21292260 39810074 59715111 79620148 99525185 119430222 199050370 218955407 238860444 298575555 398100740 437910814 597151110 656866221 875821628 1094777035 1194302220 1313732442 2189554070 2627464884 3284331105 4379108140 6568662210 13137324420