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13102020012 = 22323893531511
BaseRepresentation
bin11000011001111000…
…01111010110101100
31020211002202120121110
430030330033112230
5203313104120022
610004033432020
7642452222034
oct141474172654
936732676543
1013102020012
115613826614
122657a0b610
13130a571a83
148c41248c4
1551a3a500c
hex30cf0f5ac

13102020012 has 96 divisors (see below), whose sum is σ = 32371799040. Its totient is φ = 4116090880.

The previous prime is 13102020011. The next prime is 13102020023. The reversal of 13102020012 is 21002020131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13102020012.

It is not an unprimeable number, because it can be changed into a prime (13102020011) 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, 8670337 + ... + 8671847.

It is an arithmetic number, because the mean of its divisors is an integer number (337206240).

Almost surely, 213102020012 is an apocalyptic number.

13102020012 is a gapful number since it is divisible by the number (12) 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 13102020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185899520).

13102020012 is an abundant number, since it is smaller than the sum of its proper divisors (19269779028).

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

13102020012 is a wasteful number, since it uses less digits than its factorization.

13102020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13102020012 its reverse (21002020131), we get a palindrome (34104040143).

The spelling of 13102020012 in words is "thirteen billion, one hundred two million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 89 92 138 178 267 276 353 356 534 706 1059 1068 1412 1511 2047 2118 3022 4094 4236 4533 6044 6141 8119 8188 9066 12282 16238 18132 24357 24564 31417 32476 34753 48714 62834 69506 94251 97428 104259 125668 134479 139012 188502 208518 268958 377004 403437 417036 533383 537916 722591 806874 1066766 1445182 1600149 1613748 2133532 2167773 2890364 3093017 3200298 4335546 6186034 6400596 8671092 9279051 12267809 12372068 18558102 24535618 36803427 37116204 47471087 49071236 73606854 94942174 142413261 147213708 189884348 284826522 569653044 1091835001 2183670002 3275505003 4367340004 6551010006 13102020012