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13331111220 = 223557391861
BaseRepresentation
bin11000110101001100…
…01001110100110100
31021102001211121200000
430122212021310310
5204300231024340
610042455551300
7651233401320
oct143246116464
937361747600
1013331111220
115721079199
12270068b530
131345b734bb
1490671a980
15530558d30
hex31a989d34

13331111220 has 144 divisors (see below), whose sum is σ = 47926290048. Its totient is φ = 3047103360.

The previous prime is 13331111219. The next prime is 13331111267. The reversal of 13331111220 is 2211113331.

13331111220 is a `hidden beast` number, since 1 + 3 + 331 + 111 + 220 = 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 = 13331111193 and 13331111202.

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, 161911 + ... + 229950.

Almost surely, 213331111220 is an apocalyptic number.

13331111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331111220 is an abundant number, since it is smaller than the sum of its proper divisors (34595178828).

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

13331111220 is a wasteful number, since it uses less digits than its factorization.

13331111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391892 (or 391878 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13331111220 its reverse (2211113331), we get a palindrome (15542224551).

It can be divided in two parts, 1333111 and 1220, that added together give a palindrome (1334331).

The spelling of 13331111220 in words is "thirteen billion, three hundred thirty-one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 17010 34020 391861 783722 1175583 1567444 1959305 2351166 2743027 3526749 3918610 4702332 5486054 5877915 7053498 7837220 8229081 10580247 10972108 11755830 13715135 14106996 16458162 17633745 21160494 23511660 24687243 27430270 31740741 32916324 35267490 41145405 42320988 49374486 52901235 54860540 63481482 70534980 74061729 82290810 95222223 98748972 105802470 123436215 126962964 148123458 158703705 164581620 190444446 211604940 222185187 246872430 296246916 317407410 370308645 380888892 444370374 476111115 493744860 634814820 666555561 740617290 888740748 952222230 1110925935 1333111122 1481234580 1904444460 2221851870 2666222244 3332777805 4443703740 6665555610 13331111220