Search a number
-
+
232133311121340 = 22358346613114683
BaseRepresentation
bin110100110001111110111111…
…100011001100011110111100
31010102220201122120120022020010
4310301332333203030132330
5220411233010121340330
62141412323153423220
766616035564241326
oct6461767743143674
91112821576508203
10232133311121340
1167a68203474832
1222050ba826ab10
139c6b100b113c5
14414745299c616
151bc84c07073b0
hexd31fbf8cc7bc

232133311121340 has 48 divisors (see below), whose sum is σ = 657804274420608. Its totient is φ = 61156406462784.

The previous prime is 232133311121317. The next prime is 232133311121353. The reversal of 232133311121340 is 43121113331232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232133311121298 and 232133311121307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23306552362 + ... + 23306562321.

It is an arithmetic number, because the mean of its divisors is an integer number (13704255717096).

Almost surely, 2232133311121340 is an apocalyptic number.

232133311121340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232133311121340 is an abundant number, since it is smaller than the sum of its proper divisors (425670963299268).

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

232133311121340 is a wasteful number, since it uses less digits than its factorization.

232133311121340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46613114778 (or 46613114776 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 232133311121340 its reverse (43121113331232), we get a palindrome (275254424452572).

The spelling of 232133311121340 in words is "two hundred thirty-two trillion, one hundred thirty-three billion, three hundred eleven million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 46613114683 93226229366 139839344049 186452458732 233065573415 279678688098 466131146830 559357376196 699196720245 932262293660 1398393440490 2796786880980 3868888518689 7737777037378 11606665556067 15475554074756 19344442593445 23213331112134 38688885186890 46426662224268 58033327780335 77377770373780 116066655560670 232133311121340