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13131324024 = 2337136012511
BaseRepresentation
bin11000011101011000…
…00001101001111000
31020220010220101011020
430032230001221320
5203343104332044
610011001502440
7643256261340
oct141654015170
936803811136
1013131324024
115629321105
1226657a1a20
131313662020
148c7d91d20
1551cc42a19
hex30eb01a78

13131324024 has 64 divisors (see below), whose sum is σ = 40404080640. Its totient is φ = 3463205760.

The previous prime is 13131323987. The next prime is 13131324083. The reversal of 13131324024 is 42042313131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13131323985 and 13131324003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3004072 + ... + 3008439.

It is an arithmetic number, because the mean of its divisors is an integer number (631313760).

Almost surely, 213131324024 is an apocalyptic number.

13131324024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13131324024 is an abundant number, since it is smaller than the sum of its proper divisors (27272756616).

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

13131324024 is a wasteful number, since it uses less digits than its factorization.

13131324024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6012540 (or 6012536 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13131324024 its reverse (42042313131), we get a palindrome (55173637155).

The spelling of 13131324024 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6012511 12025022 18037533 24050044 36075066 42087577 48100088 72150132 78162643 84175154 126262731 144300264 156325286 168350308 234487929 252525462 312650572 336700616 468975858 505050924 547138501 625301144 937951716 1010101848 1094277002 1641415503 1875903432 2188554004 3282831006 4377108008 6565662012 13131324024