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13331444220 = 22325711497001
BaseRepresentation
bin11000110101001110…
…11011000111111100
31021102002110112110100
430122213123013330
5204300322203340
610042511041100
7651236256213
oct143247330774
937362415410
1013331444220
1157212863a6
122700810190
131345c5bc43
149067a607a
155305c2830
hex31a9db1fc

13331444220 has 144 divisors (see below), whose sum is σ = 41289393600. Its totient is φ = 3480960000.

The previous prime is 13331444219. The next prime is 13331444227. The reversal of 13331444220 is 2244413331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331444227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900720 + ... + 1907720.

It is an arithmetic number, because the mean of its divisors is an integer number (286731900).

Almost surely, 213331444220 is an apocalyptic number.

13331444220 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 13331444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20644696800).

13331444220 is an abundant number, since it is smaller than the sum of its proper divisors (27957949380).

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

13331444220 is a wasteful number, since it uses less digits than its factorization.

13331444220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7236 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13331444220 its reverse (2244413331), we get a palindrome (15575857551).

The spelling of 13331444220 in words is "thirteen billion, three hundred thirty-one million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 149 180 213 284 298 355 426 447 596 639 710 745 852 894 1065 1278 1341 1420 1490 1788 2130 2235 2556 2682 2980 3195 4260 4470 5364 6390 6705 7001 8940 10579 12780 13410 14002 21003 21158 26820 28004 31737 35005 42006 42316 52895 63009 63474 70010 84012 95211 105015 105790 126018 126948 140020 158685 190422 210030 211580 252036 315045 317370 380844 420060 476055 497071 630090 634740 952110 994142 1043149 1260180 1491213 1904220 1988284 2086298 2485355 2982426 3129447 4172596 4473639 4970710 5215745 5964852 6258894 7456065 8947278 9388341 9941420 10431490 12517788 14912130 15647235 17894556 18776682 20862980 22368195 29824260 31294470 37553364 44736390 46941705 62588940 74063579 89472780 93883410 148127158 187766820 222190737 296254316 370317895 444381474 666572211 740635790 888762948 1110953685 1333144422 1481271580 2221907370 2666288844 3332861055 4443814740 6665722110 13331444220