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233413314141 = 37757104913997
BaseRepresentation
bin1101100101100010000…
…1001000011001011101
3211022110222022220121210
43121120201020121131
512311012302023031
6255121213215033
722602125302020
oct3313041103135
9738428286553
10233413314141
118aa98804707
12392a1791479
131901a8bc287
14b4239a11b7
156111a85746
hex365884865d

233413314141 has 32 divisors (see below), whose sum is σ = 356512262400. Its totient is φ = 133066354176.

The previous prime is 233413314137. The next prime is 233413314161. The reversal of 233413314141 is 141413314332.

It is not a de Polignac number, because 233413314141 - 22 = 233413314137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233413314099 and 233413314108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233413314161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16668955 + ... + 16682951.

It is an arithmetic number, because the mean of its divisors is an integer number (11141008200).

Almost surely, 2233413314141 is an apocalyptic number.

233413314141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

233413314141 is a deficient number, since it is larger than the sum of its proper divisors (123098948259).

233413314141 is a wasteful number, since it uses less digits than its factorization.

233413314141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15813.

The product of its digits is 10368, while the sum is 30.

Adding to 233413314141 its reverse (141413314332), we get a palindrome (374826628473).

The spelling of 233413314141 in words is "two hundred thirty-three billion, four hundred thirteen million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 21 757 1049 2271 3147 5299 7343 13997 15897 22029 41991 97979 293937 794093 2382279 5558651 10595729 14682853 16675953 31787187 44048559 74170103 102779971 222510309 308339913 11114919721 33344759163 77804438047 233413314141