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13222213120 = 2955419547
BaseRepresentation
bin11000101000001101…
…01111011000000000
31021010110221000120001
430110012233120000
5204034341304440
610024005525344
7645441646204
oct142406573000
937113830501
1013222213120
11567565a466
122690113854
13132943585c
148d6090b04
15525be7b9a
hex3141af600

13222213120 has 80 divisors (see below), whose sum is σ = 31764248208. Its totient is φ = 5278556160.

The previous prime is 13222213057. The next prime is 13222213127. The reversal of 13222213120 is 2131222231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1380187 + ... + 1389733.

Almost surely, 213222213120 is an apocalyptic number.

13222213120 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 13222213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882124104).

13222213120 is an abundant number, since it is smaller than the sum of its proper divisors (18542035088).

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

13222213120 is an frugal number, since it uses more digits than its factorization.

13222213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111 (or 10095 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13222213120 its reverse (2131222231), we get a palindrome (15353435351).

The spelling of 13222213120 in words is "thirteen billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 541 640 1082 1280 2164 2560 2705 4328 5410 8656 9547 10820 17312 19094 21640 34624 38188 43280 47735 69248 76376 86560 95470 138496 152752 173120 190940 276992 305504 346240 381880 611008 692480 763760 1222016 1384960 1527520 2444032 3055040 4888064 5164927 6110080 10329854 12220160 20659708 24440320 25824635 41319416 51649270 82638832 103298540 165277664 206597080 330555328 413194160 661110656 826388320 1322221312 1652776640 2644442624 3305553280 6611106560 13222213120