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13123520520 = 23351128135381
BaseRepresentation
bin11000011100011100…
…10000100000001000
31020212121012220202120
430032032100200020
5203334110124040
610010122331240
7643133040525
oct141616204010
936777186676
1013123520520
115624981230
122663059b20
131311b5c176
148c6d2014c
1551c2007d0
hex30e390808

13123520520 has 128 divisors (see below), whose sum is σ = 43103767680. Its totient is φ = 3170048000.

The previous prime is 13123520497. The next prime is 13123520537. The reversal of 13123520520 is 2502532131.

It is a happy number.

It is a super-2 number, since 2×131235205202 (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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353230 + ... + 388610.

It is an arithmetic number, because the mean of its divisors is an integer number (336748185).

Almost surely, 213123520520 is an apocalyptic number.

13123520520 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 13123520520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21551883840).

13123520520 is an abundant number, since it is smaller than the sum of its proper divisors (29980247160).

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

13123520520 is a wasteful number, since it uses less digits than its factorization.

13123520520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35687 (or 35683 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 13123520520 in words is "thirteen billion, one hundred twenty-three million, five hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 281 330 440 562 660 843 1124 1320 1405 1686 2248 2810 3091 3372 4215 5620 6182 6744 8430 9273 11240 12364 15455 16860 18546 24728 30910 33720 35381 37092 46365 61820 70762 74184 92730 106143 123640 141524 176905 185460 212286 283048 353810 370920 389191 424572 530715 707620 778382 849144 1061430 1167573 1415240 1556764 1945955 2122860 2335146 3113528 3891910 4245720 4670292 5837865 7783820 9340584 9942061 11675730 15567640 19884122 23351460 29826183 39768244 46702920 49710305 59652366 79536488 99420610 109362671 119304732 149130915 198841220 218725342 238609464 298261830 328088013 397682440 437450684 546813355 596523660 656176026 874901368 1093626710 1193047320 1312352052 1640440065 2187253420 2624704104 3280880130 4374506840 6561760260 13123520520