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231224424211300 = 225213262167861481
BaseRepresentation
bin110100100100110000100001…
…101010110010001101100100
31010022200211122200111102020111
4310210300201222302031210
5220301340110044230200
62135435011204542404
766463261533051142
oct6444604152621544
91108624580442214
10231224424211300
1167747800505993
1221b24a139b1a04
139c034a614c960
1441154711dc592
151baea27ddc0ba
hexd24c21ab2364

231224424211300 has 72 divisors (see below), whose sum is σ = 540559864032552. Its totient is φ = 85342597248000.

The previous prime is 231224424211223. The next prime is 231224424211343. The reversal of 231224424211300 is 3112424422132.

It can be written as a sum of positive squares in 12 ways, for example, as 82574732140096 + 148649692071204 = 9087064^2 + 12192198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30523441 + ... + 37338040.

It is an arithmetic number, because the mean of its divisors is an integer number (7507775889341).

Almost surely, 2231224424211300 is an apocalyptic number.

231224424211300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231224424211300 is an abundant number, since it is smaller than the sum of its proper divisors (309335439821252).

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

231224424211300 is a wasteful number, since it uses less digits than its factorization.

231224424211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67864129 (or 67864122 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 231224424211300 its reverse (3112424422132), we get a palindrome (234336848633432).

The spelling of 231224424211300 in words is "two hundred thirty-one trillion, two hundred twenty-four billion, four hundred twenty-four million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 2621 5242 10484 13105 26210 34073 52420 65525 68146 131050 136292 170365 262100 340730 681460 851825 1703650 3407300 67861481 135722962 271445924 339307405 678614810 882199253 1357229620 1696537025 1764398506 3393074050 3528797012 4410996265 6786148100 8821992530 17643985060 22054981325 44109962650 88219925300 177864941701 355729883402 711459766804 889324708505 1778649417010 2312244242113 3557298834020 4446623542525 4624488484226 8893247085050 9248976968452 11561221210565 17786494170100 23122442421130 46244884842260 57806106052825 115612212105650 231224424211300