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132351100115004 = 223339725367121687
BaseRepresentation
bin11110000101111101100100…
…010011101101100000111100
3122100121122022201122222012000
4132011331210103231200330
5114321420023112140004
61145253131144542300
736610023433020261
oct3605754423554074
9570548281588160
10132351100115004
11391978716a1011
1212a16643781990
1358b08695a8ca4
142497b8264d268
151047b50e84c39
hex785f644ed83c

132351100115004 has 96 divisors (see below), whose sum is σ = 344013183144960. Its totient is φ = 44003810955456.

The previous prime is 132351100114997. The next prime is 132351100115029. The reversal of 132351100115004 is 400511001153231.

132351100115004 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 51 + 100 + 1 + 1 + 500 + 4 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1087574649 + ... + 1087696335.

It is an arithmetic number, because the mean of its divisors is an integer number (3583470657760).

Almost surely, 2132351100115004 is an apocalyptic number.

It is an amenable number.

132351100115004 is an abundant number, since it is smaller than the sum of its proper divisors (211662083029956).

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

132351100115004 is a wasteful number, since it uses less digits than its factorization.

132351100115004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147464 (or 147456 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 132351100115004 its reverse (400511001153231), we get a palindrome (532862101268235).

The spelling of 132351100115004 in words is "one hundred thirty-two trillion, three hundred fifty-one billion, one hundred million, one hundred fifteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 397 794 1191 1588 2382 3573 4764 7146 10719 14292 21438 25367 42876 50734 76101 101468 121687 152202 228303 243374 304404 365061 456606 486748 684909 730122 913212 1095183 1369818 1460244 2190366 2739636 3285549 4380732 6571098 10070699 13142196 20141398 30212097 40282796 48309739 60424194 90636291 96619478 120848388 144929217 181272582 193238956 271908873 289858434 362545164 434787651 543817746 579716868 869575302 1087635492 1304362953 1739150604 2608725906 3086834129 5217451812 6173668258 9260502387 12347336516 18521004774 27781507161 37042009548 55563014322 83344521483 111126028644 166689042966 333378085932 1225473149213 2450946298426 3676419447639 4901892596852 7352838895278 11029258342917 14705677790556 22058516685834 33087775028751 44117033371668 66175550057502 132351100115004