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13331200020 = 22354127119997
BaseRepresentation
bin11000110101001100…
…11111100000010100
31021102002000010110220
430122212133200110
5204300241400040
610042501514340
7651234221235
oct143246374024
937362003426
1013331200020
115721129986
1227007129b0
131345ba4a48
1490674108c
155305752d0
hex31a99f814

13331200020 has 96 divisors (see below), whose sum is σ = 38380801536. Its totient is φ = 3455308800.

The previous prime is 13331200019. The next prime is 13331200021. The reversal of 13331200020 is 2000213331.

It is an interprime number because it is at equal distance from previous prime (13331200019) and next prime (13331200021).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331200021) 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, 656662 + ... + 676658.

It is an arithmetic number, because the mean of its divisors is an integer number (399800016).

Almost surely, 213331200020 is an apocalyptic number.

13331200020 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 13331200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19190400768).

13331200020 is an abundant number, since it is smaller than the sum of its proper divisors (25049601516).

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

13331200020 is a wasteful number, since it uses less digits than its factorization.

13331200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20321 (or 20319 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13331200020 its reverse (2000213331), we get a palindrome (15331413351).

The spelling of 13331200020 in words is "thirteen billion, three hundred thirty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 271 410 492 542 615 813 820 1084 1230 1355 1626 2460 2710 3252 4065 5420 8130 11111 16260 19997 22222 33333 39994 44444 55555 59991 66666 79988 99985 111110 119982 133332 166665 199970 222220 239964 299955 333330 399940 599910 666660 819877 1199820 1639754 2459631 3279508 4099385 4919262 5419187 8198770 9838524 10838374 12298155 16257561 16397540 21676748 24596310 27095935 32515122 49192620 54191870 65030244 81287805 108383740 162575610 222186667 325151220 444373334 666560001 888746668 1110933335 1333120002 2221866670 2666240004 3332800005 4443733340 6665600010 13331200020