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133332111300132 = 223217732984423657
BaseRepresentation
bin11110010100001111001101…
…001000011001011000100100
3122111002102111002021122122100
4132110033031020121120210
5114434003130443101012
61151323532031132100
740040633004350103
oct3624171510313044
9574072432248570
10133332111300132
1139535915960278
1212b547a6374030
1359522198221a4
1424cd446bd003a
15106341a6208dc
hex7943cd219624

133332111300132 has 72 divisors (see below), whose sum is σ = 361747960433496. Its totient is φ = 41256672620544.

The previous prime is 133332111300079. The next prime is 133332111300133. The reversal of 133332111300132 is 231003111233331.

133332111300132 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 321 + 1 + 1 + 300 + 1 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15228772588836 + 118103338711296 = 3902406^2 + 10867536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133332111300096 and 133332111300105.

It is not an unprimeable number, because it can be changed into a prime (133332111300133) 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, 1492167153 + ... + 1492256504.

It is an arithmetic number, because the mean of its divisors is an integer number (5024277228243).

Almost surely, 2133332111300132 is an apocalyptic number.

133332111300132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133332111300132 is an abundant number, since it is smaller than the sum of its proper divisors (228415849133364).

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

133332111300132 is a wasteful number, since it uses less digits than its factorization.

133332111300132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984423757 (or 2984423752 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133332111300132 its reverse (231003111233331), we get a palindrome (364335222533463).

The spelling of 133332111300132 in words is "one hundred thirty-three trillion, three hundred thirty-two billion, one hundred eleven million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 204 219 292 306 438 612 657 876 1241 1314 2482 2628 3723 4964 7446 11169 14892 22338 44676 2984423657 5968847314 8953270971 11937694628 17906541942 26859812913 35813083884 50735202169 53719625826 101470404338 107439251652 152205606507 202940808676 217862926961 304411213014 435725853922 456616819521 608822426028 653588780883 871451707844 913233639042 1307177561766 1826467278084 1960766342649 2614355123532 3703669758337 3921532685298 7407339516674 7843065370596 11111009275011 14814679033348 22222018550022 33333027825033 44444037100044 66666055650066 133332111300132