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132122123113032 = 233213283912941791
BaseRepresentation
bin11110000010101000010100…
…001101110001001001001000
3122022210202021221001001210100
4132002220110031301021020
5114304142102004104112
61145000022045045400
736554336243432043
oct3602502415611110
9568722257031710
10132122123113032
11391097500983a8
121299a19b856860
1358950a7b24b00
14248aa5dd39c5a
151041bedb0c2dc
hex782a14371248

132122123113032 has 144 divisors (see below), whose sum is σ = 387935391916800. Its totient is φ = 40604503754880.

The previous prime is 132122123113031. The next prime is 132122123113037. The reversal of 132122123113032 is 230311321221231.

132122123113032 is a `hidden beast` number, since 1 + 3 + 2 + 122 + 1 + 231 + 1 + 303 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132122123112987 and 132122123113005.

It is not an unprimeable number, because it can be changed into a prime (132122123113031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3738057 + ... + 16679847.

It is an arithmetic number, because the mean of its divisors is an integer number (2693995777200).

Almost surely, 2132122123113032 is an apocalyptic number.

132122123113032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122123113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193967695958400).

132122123113032 is an abundant number, since it is smaller than the sum of its proper divisors (255813268803768).

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

132122123113032 is a wasteful number, since it uses less digits than its factorization.

132122123113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12942668 (or 12942648 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132122123113032 its reverse (230311321221231), we get a palindrome (362433444334263).

The spelling of 132122123113032 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one hundred twenty-three million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 839 936 1014 1352 1521 1678 2028 2517 3042 3356 4056 5034 6084 6712 7551 10068 10907 12168 15102 20136 21814 30204 32721 43628 60408 65442 87256 98163 130884 141791 196326 261768 283582 392652 425373 567164 785304 850746 1134328 1276119 1701492 2552238 3402984 5104476 10208952 12941791 25883582 38825373 51767164 77650746 103534328 116476119 155301492 168243283 232952238 310602984 336486566 465904476 504729849 672973132 931808952 1009459698 1345946264 1514189547 2018919396 2187162679 3028379094 4037838792 4374325358 6056758188 6561488037 8748650716 10858162649 12113516376 13122976074 17497301432 19684464111 21716325298 26245952148 32574487947 39368928222 43432650596 52491904296 65148975894 78737856444 86865301192 97723463841 130297951788 141156114437 157475712888 195446927682 260595903576 282312228874 390893855364 423468343311 564624457748 781787710728 846936686622 1129248915496 1270405029933 1693873373244 1835029487681 2540810059866 3387746746488 3670058975362 5081620119732 5505088463043 7340117950724 10163240239464 11010176926086 14680235901448 16515265389129 22020353852172 33030530778258 44040707704344 66061061556516 132122123113032