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13013012100 = 223521117231961
BaseRepresentation
bin11000001111010001…
…01100111010000100
31020120220021111201010
430013220230322010
5203122312341400
65551134002220
7640321530534
oct140750547204
936526244633
1013013012100
115578562660
122632046370
1312c4ca957a
148b63954c4
15512672450
hex307a2ce84

13013012100 has 144 divisors (see below), whose sum is σ = 43490091456. Its totient is φ = 2969088000.

The previous prime is 13013012053. The next prime is 13013012119. The reversal of 13013012100 is 121031031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59881 + ... + 172080.

It is an arithmetic number, because the mean of its divisors is an integer number (302014524).

Almost surely, 213013012100 is an apocalyptic number.

13013012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13013012100 is an abundant number, since it is smaller than the sum of its proper divisors (30477079356).

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

13013012100 is a wasteful number, since it uses less digits than its factorization.

13013012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232006 (or 231999 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13013012100 its reverse (121031031), we get a palindrome (13134043131).

The spelling of 13013012100 in words is "thirteen billion, thirteen million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 231961 463922 695883 927844 1159805 1391766 2319610 2551571 2783532 3479415 3943337 4639220 5103142 5799025 6958830 7654713 7886674 10206284 11598050 11830011 12757855 13917660 15309426 15773348 17397075 19716685 23196100 23660022 25515710 30618852 34794150 38273565 39433370 43376707 47320044 51031420 59150055 63789275 69588300 76547130 78866740 86753414 98583425 118300110 127578550 130130121 153094260 173506828 191367825 197166850 216883535 236600220 255157100 260260242 295750275 382735650 394333700 433767070 520520484 591500550 650650605 765471300 867534140 1084417675 1183001100 1301301210 2168835350 2602602420 3253253025 4337670700 6506506050 13013012100