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13222023100 = 22521113924617
BaseRepresentation
bin11000101000001100…
…00000111110111100
31021010110120100220021
430110012000332330
5204034314214400
610024001501524
7645440225206
oct142406007674
937113510807
1013222023100
11567553a720
1226900418a4
13132939a210
148d6041776
15525bab71a
hex314180fbc

13222023100 has 72 divisors (see below), whose sum is σ = 33707873808. Its totient is φ = 4438156800.

The previous prime is 13222023091. The next prime is 13222023109. The reversal of 13222023100 is 132022231.

It is an interprime number because it is at equal distance from previous prime (13222023091) and next prime (13222023109).

It is a super-2 number, since 2×132220231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222023109) 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, 448009 + ... + 476608.

It is an arithmetic number, because the mean of its divisors is an integer number (468164914).

Almost surely, 213222023100 is an apocalyptic number.

13222023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222023100 is an abundant number, since it is smaller than the sum of its proper divisors (20485850708).

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

13222023100 is a wasteful number, since it uses less digits than its factorization.

13222023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924655 (or 924648 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13222023100 its reverse (132022231), we get a palindrome (13354045331).

The spelling of 13222023100 in words is "thirteen billion, two hundred twenty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 924617 1849234 3698468 4623085 9246170 10170787 12020021 18492340 20341574 23115425 24040042 40683148 46230850 48080084 50853935 60100105 92461700 101707870 120200210 132220231 203415740 240400420 254269675 264440462 300500525 508539350 528880924 601001050 661101155 1017078700 1202002100 1322202310 2644404620 3305505775 6611011550 13222023100