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13521870120 = 23351179712853
BaseRepresentation
bin11001001011111011…
…10101110100101000
31021220100210011200110
430211331311310220
5210143044320440
610113432334320
7656040666603
oct144575656450
937810704613
1013521870120
11580981a180
1227545443a0
1313765434a5
14923bb533a
1554218a080
hex325f75d28

13521870120 has 128 divisors (see below), whose sum is σ = 44312365440. Its totient is φ = 3273661440.

The previous prime is 13521870083. The next prime is 13521870181. The reversal of 13521870120 is 2107812531.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045614 + ... + 1058466.

It is an arithmetic number, because the mean of its divisors is an integer number (346190355).

Almost surely, 213521870120 is an apocalyptic number.

13521870120 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 13521870120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22156182720).

13521870120 is an abundant number, since it is smaller than the sum of its proper divisors (30790495320).

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

13521870120 is a wasteful number, since it uses less digits than its factorization.

13521870120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13675 (or 13671 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 13521870120 in words is "thirteen billion, five hundred twenty-one million, eight hundred seventy thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 797 1320 1594 2391 3188 3985 4782 6376 7970 8767 9564 11955 12853 15940 17534 19128 23910 25706 26301 31880 35068 38559 43835 47820 51412 52602 64265 70136 77118 87670 95640 102824 105204 128530 131505 141383 154236 175340 192795 210408 257060 263010 282766 308472 350680 385590 424149 514120 526020 565532 706915 771180 848298 1052040 1131064 1413830 1542360 1696596 2120745 2827660 3393192 4241490 5655320 8482980 10243841 16965960 20487682 30731523 40975364 51219205 61463046 81950728 102438410 112682251 122926092 153657615 204876820 225364502 245852184 307315230 338046753 409753640 450729004 563411255 614630460 676093506 901458008 1126822510 1229260920 1352187012 1690233765 2253645020 2704374024 3380467530 4507290040 6760935060 13521870120