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13023113220 = 223251319927967
BaseRepresentation
bin11000010000011110…
…01111000000000100
31020121121021200211200
430020033033000010
5203132404110340
65552134302500
7640503431055
oct141017170004
936547250750
1013023113220
115583231797
1226354b7a30
1312c7105170
148b786472c
155134ba330
hex3083cf004

13023113220 has 144 divisors (see below), whose sum is σ = 42757478400. Its totient is φ = 3189466368.

The previous prime is 13023113219. The next prime is 13023113231. The reversal of 13023113220 is 2231132031.

13023113220 is a `hidden beast` number, since 1 + 30 + 2 + 311 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13023113193 and 13023113202.

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, 451677 + ... + 479643.

Almost surely, 213023113220 is an apocalyptic number.

13023113220 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 13023113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21378739200).

13023113220 is an abundant number, since it is smaller than the sum of its proper divisors (29734365180).

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

13023113220 is a wasteful number, since it uses less digits than its factorization.

13023113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28194 (or 28189 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13023113220 its reverse (2231132031), we get a palindrome (15254245251).

The spelling of 13023113220 in words is "thirteen billion, twenty-three million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 199 234 260 390 398 468 585 597 780 796 995 1170 1194 1791 1990 2340 2388 2587 2985 3582 3980 5174 5970 7164 7761 8955 10348 11940 12935 15522 17910 23283 25870 27967 31044 35820 38805 46566 51740 55934 77610 83901 93132 111868 116415 139835 155220 167802 232830 251703 279670 335604 363571 419505 465660 503406 559340 727142 839010 1006812 1090713 1258515 1454284 1678020 1817855 2181426 2517030 3272139 3635710 4362852 5034060 5453565 5565433 6544278 7271420 10907130 11130866 13088556 16360695 16696299 21814260 22261732 27827165 32721390 33392598 50088897 55654330 65442780 66785196 72350629 83481495 100177794 111308660 144701258 166962990 200355588 217051887 250444485 289402516 333925980 361753145 434103774 500888970 651155661 723506290 868207548 1001777940 1085259435 1302311322 1447012580 2170518870 2604622644 3255778305 4341037740 6511556610 13023113220