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13132344120 = 2335750331081
BaseRepresentation
bin11000011101011111…
…11010101100111000
31020220012211012110120
430032233322230320
5203343340002440
610011035413240
7643301040360
oct141657725470
936805735416
1013132344120
115629958565
122665bb4220
13131392b42c
148c81799a0
1551cd94dd0
hex30ebfab38

13132344120 has 128 divisors (see below), whose sum is σ = 45116144640. Its totient is φ = 2995614720.

The previous prime is 13132344061. The next prime is 13132344131. The reversal of 13132344120 is 2144323131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 406980 + ... + 438060.

It is an arithmetic number, because the mean of its divisors is an integer number (352469880).

Almost surely, 213132344120 is an apocalyptic number.

13132344120 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 13132344120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22558072320).

13132344120 is an abundant number, since it is smaller than the sum of its proper divisors (31983800520).

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

13132344120 is a wasteful number, since it uses less digits than its factorization.

13132344120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31605 (or 31601 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13132344120 its reverse (2144323131), we get a palindrome (15276667251).

The spelling of 13132344120 in words is "thirteen billion, one hundred thirty-two million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 503 840 1006 1509 2012 2515 3018 3521 4024 5030 6036 7042 7545 10060 10563 12072 14084 15090 17605 20120 21126 28168 30180 31081 35210 42252 52815 60360 62162 70420 84504 93243 105630 124324 140840 155405 186486 211260 217567 248648 310810 372972 422520 435134 466215 621620 652701 745944 870268 932430 1087835 1243240 1305402 1740536 1864860 2175670 2610804 3263505 3729720 4351340 5221608 6527010 8702680 13054020 15633743 26108040 31267486 46901229 62534972 78168715 93802458 109436201 125069944 156337430 187604916 218872402 234506145 312674860 328308603 375209832 437744804 469012290 547181005 625349720 656617206 875489608 938024580 1094362010 1313234412 1641543015 1876049160 2188724020 2626468824 3283086030 4377448040 6566172060 13132344120