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13231143120 = 24351313930509
BaseRepresentation
bin11000101001010001…
…10011100011010000
31021011002201201012210
430110220303203100
5204044133034440
610024525152120
7645610601166
oct142450634320
937132651183
1013231143120
11567a6a9728
1226930bb640
13132b241390
148d7337236
155268ada80
hex314a338d0

13231143120 has 160 divisors (see below), whose sum is σ = 44490902400. Its totient is φ = 3233359872.

The previous prime is 13231143109. The next prime is 13231143137. The reversal of 13231143120 is 2134113231.

It is a congruent number.

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, 418426 + ... + 448934.

It is an arithmetic number, because the mean of its divisors is an integer number (278068140).

Almost surely, 213231143120 is an apocalyptic number.

13231143120 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 13231143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22245451200).

13231143120 is an abundant number, since it is smaller than the sum of its proper divisors (31259759280).

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

13231143120 is a wasteful number, since it uses less digits than its factorization.

13231143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30677 (or 30671 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13231143120 its reverse (2134113231), we get a palindrome (15365256351).

The spelling of 13231143120 in words is "thirteen billion, two hundred thirty-one million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 139 156 195 208 240 260 278 312 390 417 520 556 624 695 780 834 1040 1112 1390 1560 1668 1807 2085 2224 2780 3120 3336 3614 4170 5421 5560 6672 7228 8340 9035 10842 11120 14456 16680 18070 21684 27105 28912 30509 33360 36140 43368 54210 61018 72280 86736 91527 108420 122036 144560 152545 183054 216840 244072 305090 366108 396617 433680 457635 488144 610180 732216 793234 915270 1189851 1220360 1464432 1586468 1830540 1983085 2379702 2440720 3172936 3661080 3966170 4240751 4759404 5949255 6345872 7322160 7932340 8481502 9518808 11898510 12722253 15864680 16963004 19037616 21203755 23797020 25444506 31729360 33926008 42407510 47594040 50889012 55129763 63611265 67852016 84815020 95188080 101778024 110259526 127222530 165389289 169630040 203556048 220519052 254445060 275648815 330778578 339260080 441038104 508890120 551297630 661557156 826946445 882076208 1017780240 1102595260 1323114312 1653892890 2205190520 2646228624 3307785780 4410381040 6615571560 13231143120