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232122330414342 = 232149103549835819
BaseRepresentation
bin110100110001110100110001…
…000011000111110100000110
31010102212200022022102121000100
4310301310301003013310012
5220411043013041224332
62141403305415024530
766615166510621314
oct6461646103076406
91112780268377010
10232122330414342
1167a63589114075
122204aa4296b146
139c6a070bb0444
144146ad04b10b4
151bc807b6c967c
hexd31d310c7d06

232122330414342 has 48 divisors (see below), whose sum is σ = 506312591850000. Its totient is φ = 76853986650432.

The previous prime is 232122330414311. The next prime is 232122330414349. The reversal of 232122330414342 is 243414033221232.

232122330414342 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 2 + 2 + 3 + 304 + 1 + 4 + 342 = 666.

It is a super-2 number, since 2×2321223304143422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232122330414297 and 232122330414306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232122330414349) 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, 277300509 + ... + 278136327.

It is an arithmetic number, because the mean of its divisors is an integer number (10548178996875).

Almost surely, 2232122330414342 is an apocalyptic number.

232122330414342 is an abundant number, since it is smaller than the sum of its proper divisors (274190261435658).

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

232122330414342 is a wasteful number, since it uses less digits than its factorization.

232122330414342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939525 (or 939522 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 232122330414342 its reverse (243414033221232), we get a palindrome (475536363635574).

The spelling of 232122330414342 in words is "two hundred thirty-two trillion, one hundred twenty-two billion, three hundred thirty million, four hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 149 298 447 894 1341 2682 103549 207098 310647 621294 835819 931941 1671638 1863882 2507457 5014914 7522371 15044742 15428801 30857602 46286403 92572806 124537031 138859209 249074062 277718418 373611093 747222186 1120833279 2241666558 86548221631 173096443262 259644664893 519289329786 778933994679 1557867989358 12895685023019 25791370046038 38687055069057 77374110138114 116061165207171 232122330414342