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13023320022200 = 23521391031454379
BaseRepresentation
bin1011110110000011101001…
…0111010001110010111000
31201010000110120020101210102
42331200322113101302320
53201333224411202300
643410455225334532
72512622003461325
oct275407227216270
951100416211712
1013023320022200
1141711826a9614
12156400b637448
1373612b135917
14330491219b4c
15178b76b0d0d5
hexbd83a5d1cb8

13023320022200 has 96 divisors (see below), whose sum is σ = 30526702416000. Its totient is φ = 5166823113600.

The previous prime is 13023320022197. The next prime is 13023320022287. The reversal of 13023320022200 is 222002332031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28434611 + ... + 28888989.

It is an arithmetic number, because the mean of its divisors is an integer number (317986483500).

Almost surely, 213023320022200 is an apocalyptic number.

13023320022200 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 13023320022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15263351208000).

13023320022200 is an abundant number, since it is smaller than the sum of its proper divisors (17503382393800).

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

13023320022200 is a wasteful number, since it uses less digits than its factorization.

13023320022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455565 (or 455556 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13023320022200 its reverse (222002332031), we get a palindrome (13245322354231).

The spelling of 13023320022200 in words is "thirteen trillion, twenty-three billion, three hundred twenty million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 139 200 278 556 695 1031 1112 1390 2062 2780 3475 4124 5155 5560 6950 8248 10310 13900 20620 25775 27800 41240 51550 103100 143309 206200 286618 454379 573236 716545 908758 1146472 1433090 1817516 2271895 2866180 3582725 3635032 4543790 5732360 7165450 9087580 11359475 14330900 18175160 22718950 28661800 45437900 63158681 90875800 126317362 252634724 315793405 468464749 505269448 631586810 936929498 1263173620 1578967025 1873858996 2342323745 2526347240 3157934050 3747717992 4684647490 6315868100 9369294980 11711618725 12631736200 18738589960 23423237450 46846474900 65116600111 93692949800 130233200222 260466400444 325583000555 520932800888 651166001110 1302332002220 1627915002775 2604664004440 3255830005550 6511660011100 13023320022200