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13134344520 = 23351145721773
BaseRepresentation
bin11000011101101111…
…00011000101001000
31020220100120211111110
430032313203011020
5203344343011040
610011150330320
7643324041423
oct141667430510
936810524443
1013134344520
11562aaa4490
1226667b99a0
13131417babb
148c853a9ba
1551d13c980
hex30ede3148

13134344520 has 128 divisors (see below), whose sum is σ = 43081165440. Its totient is φ = 3176970240.

The previous prime is 13134344519. The next prime is 13134344527. The reversal of 13134344520 is 2544343131.

It is a super-2 number, since 2×131343445202 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13134344527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592354 + ... + 614126.

It is an arithmetic number, because the mean of its divisors is an integer number (336571605).

Almost surely, 213134344520 is an apocalyptic number.

13134344520 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 13134344520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21540582720).

13134344520 is an abundant number, since it is smaller than the sum of its proper divisors (29946820920).

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

13134344520 is a wasteful number, since it uses less digits than its factorization.

13134344520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22255 (or 22251 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13134344520 its reverse (2544343131), we get a palindrome (15678687651).

The spelling of 13134344520 in words is "thirteen billion, one hundred thirty-four million, three hundred forty-four 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 88 110 120 132 165 220 264 330 440 457 660 914 1320 1371 1828 2285 2742 3656 4570 5027 5484 6855 9140 10054 10968 13710 15081 18280 20108 21773 25135 27420 30162 40216 43546 50270 54840 60324 65319 75405 87092 100540 108865 120648 130638 150810 174184 201080 217730 239503 261276 301620 326595 435460 479006 522552 603240 653190 718509 870920 958012 1197515 1306380 1437018 1916024 2395030 2612760 2874036 3592545 4790060 5748072 7185090 9580120 9950261 14370180 19900522 28740360 29850783 39801044 49751305 59701566 79602088 99502610 109452871 119403132 149253915 199005220 218905742 238806264 298507830 328358613 398010440 437811484 547264355 597015660 656717226 875622968 1094528710 1194031320 1313434452 1641793065 2189057420 2626868904 3283586130 4378114840 6567172260 13134344520