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233135332205304 = 23314965194444129
BaseRepresentation
bin110101000000100100001100…
…101010010010001011111000
31010120110112001011000102200210
4311000210030222102023320
5221024142130021032204
62143500520523031120
7100051320603024414
oct6500441452221370
91116415034012623
10233135332205304
1168314159227a51
122219323306b4a0
13a01174ba26bc9
14417db4b5cbd44
151be45b95e8389
hexd4090ca922f8

233135332205304 has 32 divisors (see below), whose sum is σ = 586749997170000. Its totient is φ = 77190221847552.

The previous prime is 233135332205287. The next prime is 233135332205309. The reversal of 233135332205304 is 403502233531332.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233135332205309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32597218489 + ... + 32597225640.

Almost surely, 2233135332205304 is an apocalyptic number.

233135332205304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233135332205304 is an abundant number, since it is smaller than the sum of its proper divisors (353614664964696).

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

233135332205304 is a wasteful number, since it uses less digits than its factorization.

233135332205304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65194444287 (or 65194444283 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 39.

Adding to 233135332205304 its reverse (403502233531332), we get a palindrome (636637565736636).

The spelling of 233135332205304 in words is "two hundred thirty-three trillion, one hundred thirty-five billion, three hundred thirty-two million, two hundred five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 149 298 447 596 894 1192 1788 3576 65194444129 130388888258 195583332387 260777776516 391166664774 521555553032 782333329548 1564666659096 9713972175221 19427944350442 29141916525663 38855888700884 58283833051326 77711777401768 116567666102652 233135332205304