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33130230033312 = 2532115035520949
BaseRepresentation
bin1111000100001101110111…
…00101111010101110100000
311100022012220200202011221100
413202012323211322232200
513320301202342031222
6154243452332154400
76656402661562566
oct742067345725640
9140265820664840
1033130230033312
11a6134a7172335
123870a3b008a00
1315642236b5159
1482772410ba36
153c6bd766e4ac
hex1e21bb97aba0

33130230033312 has 36 divisors (see below), whose sum is σ = 94214091658050. Its totient is φ = 11043410011008.

The previous prime is 33130230033287. The next prime is 33130230033343. The reversal of 33130230033312 is 21333003203133.

33130230033312 is a `hidden beast` number, since 3 + 3 + 13 + 0 + 2 + 300 + 33 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28086989680656 + 5043240352656 = 5299716^2 + 2245716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×331302300333122 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57517760187 + ... + 57517760762.

Almost surely, 233130230033312 is an apocalyptic number.

33130230033312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33130230033312 is an abundant number, since it is smaller than the sum of its proper divisors (61083861624738).

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

33130230033312 is a wasteful number, since it uses less digits than its factorization.

33130230033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115035520965 (or 115035520954 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 33130230033312 its reverse (21333003203133), we get a palindrome (54463233236445).

The spelling of 33130230033312 in words is "thirty-three trillion, one hundred thirty billion, two hundred thirty million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 115035520949 230071041898 345106562847 460142083796 690213125694 920284167592 1035319688541 1380426251388 1840568335184 2070639377082 2760852502776 3681136670368 4141278754164 5521705005552 8282557508328 11043410011104 16565115016656 33130230033312