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13531141320 = 2335296136343
BaseRepresentation
bin11001001101000010…
…01101010011001000
31021221000020012101020
430212201031103020
5210202433010240
610114403152440
7656212542414
oct144641152310
937830205336
1013531141320
115813a81824
122757675720
13137843b3c8
14925109d44
15542dbc0d0
hex32684d4c8

13531141320 has 128 divisors (see below), whose sum is σ = 42068332800. Its totient is φ = 3477648384.

The previous prime is 13531141319. The next prime is 13531141333. The reversal of 13531141320 is 2314113531.

It is a super-2 number, since 2×135311413202 (a number of 21 digits) contains 22 as substring.

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

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, 2130069 + ... + 2136411.

It is an arithmetic number, because the mean of its divisors is an integer number (328658850).

Almost surely, 213531141320 is an apocalyptic number.

13531141320 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 13531141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034166400).

13531141320 is an abundant number, since it is smaller than the sum of its proper divisors (28537191480).

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

13531141320 is a wasteful number, since it uses less digits than its factorization.

13531141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6999 (or 6995 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13531141320 its reverse (2314113531), we get a palindrome (15845254851).

The spelling of 13531141320 in words is "thirteen billion, five hundred thirty-one million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 613 696 870 1160 1226 1740 1839 2452 3065 3480 3678 4904 6130 6343 7356 9195 12260 12686 14712 17777 18390 19029 24520 25372 31715 35554 36780 38058 50744 53331 63430 71108 73560 76116 88885 95145 106662 126860 142216 152232 177770 183947 190290 213324 253720 266655 355540 367894 380580 426648 533310 551841 711080 735788 761160 919735 1066620 1103682 1471576 1839470 2133240 2207364 2759205 3678940 3888259 4414728 5518410 7357880 7776518 11036820 11664777 15553036 19441295 22073640 23329554 31106072 38882590 46659108 58323885 77765180 93318216 112759511 116647770 155530360 225519022 233295540 338278533 451038044 466591080 563797555 676557066 902076088 1127595110 1353114132 1691392665 2255190220 2706228264 3382785330 4510380440 6765570660 13531141320