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13103589888 = 29333130577
BaseRepresentation
bin11000011010000100…
…01110101000000000
31020211012201100002000
430031002032220000
5203314004334023
610004131224000
7642501450654
oct141502165000
936735640060
1013103589888
1156146a9034
122658448000
13130a9a14ac
148c4412a64
1551a5b5243
hex30d08ea00

13103589888 has 160 divisors (see below), whose sum is σ = 40040056320. Its totient is φ = 4226826240.

The previous prime is 13103589887. The next prime is 13103589911. The reversal of 13103589888 is 88898530131.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13103589887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413256 + ... + 443832.

It is an arithmetic number, because the mean of its divisors is an integer number (250250352).

Almost surely, 213103589888 is an apocalyptic number.

13103589888 is a gapful number since it is divisible by the number (18) 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 13103589888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20020028160).

13103589888 is an abundant number, since it is smaller than the sum of its proper divisors (26936466432).

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

13103589888 is an equidigital number, since it uses as much as digits as its factorization.

13103589888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30635 (or 30613 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 13103589888 in words is "thirteen billion, one hundred three million, five hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 576 744 768 837 864 992 1116 1152 1488 1536 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 4608 5952 6696 6912 7936 8928 11904 13392 13824 15872 17856 23808 26784 30577 35712 47616 53568 61154 71424 91731 107136 122308 142848 183462 214272 244616 275193 366924 428544 489232 550386 733848 825579 947887 978464 1100772 1467696 1651158 1895774 1956928 2201544 2843661 2935392 3302316 3791548 3913856 4403088 5687322 5870784 6604632 7583096 7827712 8530983 8806176 11374644 11741568 13209264 15166192 15655424 17061966 17612352 22749288 23483136 25592949 26418528 30332384 34123932 35224704 45498576 46966272 51185898 52837056 60664768 68247864 70449408 90997152 102371796 105674112 121329536 136495728 140898816 181994304 204743592 211348224 242659072 272991456 363988608 409487184 422696448 485318144 545982912 727977216 818974368 1091965824 1455954432 1637948736 2183931648 3275897472 4367863296 6551794944 13103589888