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13213223302120 = 235435322734819
BaseRepresentation
bin1100000001000111000101…
…1110110011001111101000
31201210011122020202120011021
43000101301132303033220
53212441140131131440
644034023155542224
72532423663641542
oct300216136631750
951704566676137
1013213223302120
1142347730a4556
1215949898ba974
1374b0037019ca
1433974839c692
1517da8d96b84a
hexc04717b33e8

13213223302120 has 96 divisors (see below), whose sum is σ = 31005967053600. Its totient is φ = 5064970450176.

The previous prime is 13213223302117. The next prime is 13213223302121. The reversal of 13213223302120 is 2120332231231.

It is not an unprimeable number, because it can be changed into a prime (13213223302121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3464071 + ... + 6198889.

It is an arithmetic number, because the mean of its divisors is an integer number (322978823475).

Almost surely, 213213223302120 is an apocalyptic number.

13213223302120 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 13213223302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502983526800).

13213223302120 is an abundant number, since it is smaller than the sum of its proper divisors (17792743751480).

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

13213223302120 is a wasteful number, since it uses less digits than its factorization.

13213223302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734979 (or 2734922 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13213223302120 its reverse (2120332231231), we get a palindrome (15333555533351).

The spelling of 13213223302120 in words is "thirteen trillion, two hundred thirteen billion, two hundred twenty-three million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 53 86 106 172 212 215 265 344 424 430 530 860 1060 1720 2120 2279 2809 4558 5618 9116 11236 11395 14045 18232 22472 22790 28090 45580 56180 91160 112360 120787 241574 483148 603935 966296 1207870 2415740 2734819 4831480 5469638 10939276 13674095 21878552 27348190 54696380 109392760 117597217 144945407 235194434 289890814 470388868 579781628 587986085 724727035 940777736 1159563256 1175972170 1449454070 2351944340 2898908140 4703888680 5797816280 6232652501 7682106571 12465305002 15364213142 24930610004 30728426284 31163262505 38410532855 49861220008 61456852568 62326525010 76821065710 124653050020 153642131420 249306100040 307284262840 330330582553 660661165106 1321322330212 1651652912765 2642644660424 3303305825530 6606611651060 13213223302120