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13102032320 = 265139413347
BaseRepresentation
bin11000011001111000…
…10010010111000000
31020211002210012111022
430030330102113000
5203313110013240
610004034005012
7642452302646
oct141474222700
936732705438
1013102032320
115613834893
122657a16768
13130a577560
148c4129196
1551a3a89b5
hex30cf125c0

13102032320 has 112 divisors (see below), whose sum is σ = 33644909088. Its totient is φ = 4831088640.

The previous prime is 13102032299. The next prime is 13102032323. The reversal of 13102032320 is 2323020131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102032323) 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, 3912887 + ... + 3916233.

It is an arithmetic number, because the mean of its divisors is an integer number (300400974).

Almost surely, 213102032320 is an apocalyptic number.

13102032320 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 13102032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16822454544).

13102032320 is an abundant number, since it is smaller than the sum of its proper divisors (20542876768).

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

13102032320 is a wasteful number, since it uses less digits than its factorization.

13102032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13102032320 its reverse (2323020131), we get a palindrome (15425052451).

The spelling of 13102032320 in words is "thirteen billion, one hundred two million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 941 1040 1882 2080 3347 3764 4160 4705 6694 7528 9410 12233 13388 15056 16735 18820 24466 26776 30112 33470 37640 43511 48932 53552 60224 61165 66940 75280 87022 97864 107104 122330 133880 150560 174044 195728 214208 217555 244660 267760 301120 348088 391456 435110 489320 535520 696176 782912 870220 978640 1071040 1392352 1740440 1957280 2784704 3149527 3480880 3914560 6299054 6961760 12598108 13923520 15747635 25196216 31495270 40943851 50392432 62990540 81887702 100784864 125981080 163775404 201569728 204719255 251962160 327550808 409438510 503924320 655101616 818877020 1007848640 1310203232 1637754040 2620406464 3275508080 6551016160 13102032320