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231143112300213 = 34374714091164623
BaseRepresentation
bin110100100011100100110011…
…000110011101011010110101
31010022102001202220210100120000
4310203210303012131122311
5220244022043222101323
62135333402504301513
766454352541156651
oct6443446306353265
91108361686710500
10231143112300213
1167716275006673
1221b11100771899
139bc891829c4b9
14411155a121a61
151bac869678e43
hexd2393319d6b5

231143112300213 has 80 divisors (see below), whose sum is σ = 362422417167360. Its totient is φ = 146636382081024.

The previous prime is 231143112300203. The next prime is 231143112300229. The reversal of 231143112300213 is 312003211341132.

231143112300213 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 431 + 12 + 3 + 0 + 0 + 213 = 666.

It is not a de Polignac number, because 231143112300213 - 24 = 231143112300197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231143112300203) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 197888020 + ... + 199052642.

It is an arithmetic number, because the mean of its divisors is an integer number (4530280214592).

Almost surely, 2231143112300213 is an apocalyptic number.

It is an amenable number.

231143112300213 is a deficient number, since it is larger than the sum of its proper divisors (131279304867147).

231143112300213 is a wasteful number, since it uses less digits than its factorization.

231143112300213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166128 (or 1166119 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 231143112300213 its reverse (312003211341132), we get a palindrome (543146323641345).

The spelling of 231143112300213 in words is "two hundred thirty-one trillion, one hundred forty-three billion, one hundred twelve million, three hundred thousand, two hundred thirteen".

Divisors: 1 3 9 27 37 47 81 111 141 333 423 999 1269 1409 1739 2997 3807 4227 5217 12681 15651 38043 46953 52133 66223 114129 140859 156399 198669 469197 596007 1164623 1407591 1788021 2450251 3493869 4222773 5364063 7350753 10481607 22052259 31444821 43091051 54737281 66156777 94334463 129273153 164211843 198470331 387819459 492635529 1163458377 1477906587 1640953807 2025279397 3490375131 4433719761 4922861421 6075838191 14768584263 18227514573 44305752789 54682543719 60715290859 77124828929 132917258367 164047631157 182145872577 231374486787 546437617731 694123460361 1639312853193 2082370381083 2853618670373 4917938559579 6247111143249 8560856011119 25682568033357 77047704100071 231143112300213