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13202221110 = 2351391137159
BaseRepresentation
bin11000100101110100…
…11110100000110110
31021002002022022200020
430102322132200312
5204014232033420
610022013230010
7645110012361
oct142272364066
937062268606
1013202221110
115665345141
122685492306
131325255c70
148d35690d8
15524099340
hex312e9e836

13202221110 has 64 divisors (see below), whose sum is σ = 34161039360. Its totient is φ = 3246122880.

The previous prime is 13202221061. The next prime is 13202221129. The reversal of 13202221110 is 1112220231.

13202221110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13202221110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336711 + ... + 373869.

It is an arithmetic number, because the mean of its divisors is an integer number (533766240).

Almost surely, 213202221110 is an apocalyptic number.

13202221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13202221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17080519680).

13202221110 is an abundant number, since it is smaller than the sum of its proper divisors (20958818250).

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

13202221110 is a wasteful number, since it uses less digits than its factorization.

13202221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38093.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13202221110 its reverse (1112220231), we get a palindrome (14314441341).

The spelling of 13202221110 in words is "thirteen billion, two hundred two million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 911 1822 2733 4555 5466 9110 11843 13665 23686 27330 35529 37159 59215 71058 74318 111477 118430 177645 185795 222954 355290 371590 483067 557385 966134 1114770 1449201 2415335 2898402 4830670 7246005 14492010 33851849 67703698 101555547 169259245 203111094 338518490 440074037 507777735 880148074 1015555470 1320222111 2200370185 2640444222 4400740370 6601110555 13202221110