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331302132133020 = 22345204507488971
BaseRepresentation
bin100101101010100010100100…
…1111001100010110010011100
31121110001011201012222101020000
41023111011021321202302130
5321411023231311224040
63132342033130054300
7126532534452526146
oct11325051171426234
91543034635871200
10331302132133020
1196621499618874
12311a86a587a390
13112b287059a169
145bb51745bdc96
152847dde821130
hex12d5149e62c9c

331302132133020 has 60 divisors (see below), whose sum is σ = 1039307058955704. Its totient is φ = 88347235235040.

The previous prime is 331302132133013. The next prime is 331302132133069. The reversal of 331302132133020 is 20331231203133.

331302132133020 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 0 + 2 + 1 + 321 + 330 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3313021321330202 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102253742866 + ... + 102253746105.

Almost surely, 2331302132133020 is an apocalyptic number.

331302132133020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331302132133020 is an abundant number, since it is smaller than the sum of its proper divisors (708004926822684).

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

331302132133020 is a wasteful number, since it uses less digits than its factorization.

331302132133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204507488992 (or 204507488981 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 331302132133020 its reverse (20331231203133), we get a palindrome (351633363336153).

The spelling of 331302132133020 in words is "three hundred thirty-one trillion, three hundred two billion, one hundred thirty-two million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 204507488971 409014977942 613522466913 818029955884 1022537444855 1227044933826 1840567400739 2045074889710 2454089867652 3067612334565 3681134801478 4090149779420 5521702202217 6135224669130 7362269602956 9202837003695 11043404404434 12270449338260 16565106606651 18405674007390 22086808808868 27608511011085 33130213213302 36811348014780 55217022022170 66260426426604 82825533033255 110434044044340 165651066066510 331302132133020