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230021112033504 = 25321172607674253
BaseRepresentation
bin110100010011001111110110…
…101011000111000011100000
31010011102210200210100020111100
4310103033312223013003200
5220122131214140033004
62133114123504514400
766310322405233101
oct6423176653070340
91104383623306440
10230021112033504
1167323451117680
122196b77101ba00
139b46b895aaa3c
1440b311cc483a8
151b8d59c545739
hexd133f6ac70e0

230021112033504 has 72 divisors (see below), whose sum is σ = 713588222568312. Its totient is φ = 69703367281920.

The previous prime is 230021112033499. The next prime is 230021112033547. The reversal of 230021112033504 is 405330211120032.

230021112033504 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 2 + 1 + 1 + 120 + 33 + 504 = 666.

230021112033504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2300211120335042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36303833959 + ... + 36303840294.

It is an arithmetic number, because the mean of its divisors is an integer number (9910947535671).

Almost surely, 2230021112033504 is an apocalyptic number.

230021112033504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230021112033504 is an abundant number, since it is smaller than the sum of its proper divisors (483567110534808).

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

230021112033504 is a wasteful number, since it uses less digits than its factorization.

230021112033504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72607674280 (or 72607674269 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 230021112033504 its reverse (405330211120032), we get a palindrome (635351323153536).

The spelling of 230021112033504 in words is "two hundred thirty trillion, twenty-one billion, one hundred twelve million, thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 72607674253 145215348506 217823022759 290430697012 435646045518 580861394024 653469068277 798684416783 871292091036 1161722788048 1306938136554 1597368833566 1742584182072 2323445576096 2396053250349 2613876273108 3194737667132 3485168364144 4792106500698 5227752546216 6389475334264 6970336728288 7188159751047 9584213001396 10455505092432 12778950668528 14376319502094 19168426002792 20911010184864 25557901337056 28752639004188 38336852005584 57505278008376 76673704011168 115010556016752 230021112033504