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13013231220 = 223251147139837
BaseRepresentation
bin11000001111010011…
…00010011001110100
31020120220200122021200
430013221202121310
5203122341344340
65551142412500
7640323432423
oct140751423164
936526618250
1013013231220
1155786a2250
122632131130
1312c5055222
148b64112ba
155126b7330
hex307a62674

13013231220 has 144 divisors (see below), whose sum is σ = 43978491648. Its totient is φ = 3087578880.

The previous prime is 13013231207. The next prime is 13013231239. The reversal of 13013231220 is 2213231031.

13013231220 is a `hidden beast` number, since 1 + 301 + 32 + 312 + 20 = 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 = 13013231193 and 13013231202.

It is a congruent number.

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, 23142 + ... + 162978.

It is an arithmetic number, because the mean of its divisors is an integer number (305406192).

Almost surely, 213013231220 is an apocalyptic number.

13013231220 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 13013231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21989245824).

13013231220 is an abundant number, since it is smaller than the sum of its proper divisors (30965260428).

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

13013231220 is a wasteful number, since it uses less digits than its factorization.

13013231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139910 (or 139905 counting only the distinct ones).

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

Adding to 13013231220 its reverse (2213231031), we get a palindrome (15226462251).

The spelling of 13013231220 in words is "thirteen billion, thirteen million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 470 495 517 564 660 705 846 940 990 1034 1410 1551 1692 1980 2068 2115 2585 2820 3102 4230 4653 5170 6204 7755 8460 9306 10340 15510 18612 23265 31020 46530 93060 139837 279674 419511 559348 699185 839022 1258533 1398370 1538207 1678044 2097555 2517066 2796740 3076414 4195110 4614621 5034132 6152828 6292665 6572339 7691035 8390220 9229242 12585330 13144678 13843863 15382070 18458484 19717017 23073105 25170660 26289356 27687726 30764140 32861695 39434034 46146210 55375452 59151051 65723390 69219315 72295729 78868068 92292420 98585085 118302102 131446780 138438630 144591458 197170170 216887187 236604204 276877260 289182916 295755255 361478645 394340340 433774374 591510510 650661561 722957290 867548748 1084435935 1183021020 1301323122 1445914580 2168871870 2602646244 3253307805 4337743740 6506615610 13013231220