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13134882420 = 223251129228751
BaseRepresentation
bin11000011101110011…
…00110011001110100
31020220101121011100200
430032321212121310
5203400012214140
610011210040500
7643331441562
oct141671463164
936811534320
1013134882420
115630331630
122666a19130
13131430989a
148c863aa32
1551d1e7030
hex30ee66674

13134882420 has 144 divisors (see below), whose sum is σ = 44963493120. Its totient is φ = 3074400000.

The previous prime is 13134882337. The next prime is 13134882427. The reversal of 13134882420 is 2428843131.

It is a happy number.

13134882420 is a `hidden beast` number, since 131 + 3 + 488 + 2 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134882427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56956 + ... + 171795.

It is an arithmetic number, because the mean of its divisors is an integer number (312246480).

Almost surely, 213134882420 is an apocalyptic number.

13134882420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13134882420 is an abundant number, since it is smaller than the sum of its proper divisors (31828610700).

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

13134882420 is a wasteful number, since it uses less digits than its factorization.

13134882420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228806 (or 228801 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13134882420 in words is "thirteen billion, one hundred thirty-four million, eight hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 228751 457502 686253 915004 1143755 1372506 2058759 2287510 2516261 2745012 3431265 4117518 4575020 5032522 6633779 6862530 7548783 8235036 10065044 10293795 12581305 13267558 13725060 15097566 19901337 20587590 22646349 25162610 26535116 30195132 33168895 37743915 39802674 41175180 45292698 50325220 59704011 66337790 72971569 75487830 79605348 90585396 99506685 113231745 119408022 132675580 145943138 150975660 199013370 218914707 226463490 238816044 291886276 298520055 364857845 398026740 437829414 452926980 597040110 656744121 729715690 875658828 1094573535 1194080220 1313488242 1459431380 2189147070 2626976484 3283720605 4378294140 6567441210 13134882420