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132101312928 = 25313518920399
BaseRepresentation
bin111101100000111011…
…0100001000110100000
3110121222100221000001120
41323001312201012200
54131020414003203
6140404141332240
712354410430054
oct1730166410640
9417870830046
10132101312928
1151029824692
1221728567080
13c5c3332170
1465725b7c64
153682589b53
hex1ec1da11a0

132101312928 has 96 divisors (see below), whose sum is σ = 373530528000. Its totient is φ = 40636732416.

The previous prime is 132101312909. The next prime is 132101312933. The reversal of 132101312928 is 829213101231.

It is a tau number, because it is divible by the number of its divisors (96).

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, 6465673 + ... + 6486071.

It is an arithmetic number, because the mean of its divisors is an integer number (3890943000).

Almost surely, 2132101312928 is an apocalyptic number.

It is an amenable number.

132101312928 is an abundant number, since it is smaller than the sum of its proper divisors (241429215072).

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

132101312928 is a wasteful number, since it uses less digits than its factorization.

132101312928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25614 (or 25606 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 132101312928 in words is "one hundred thirty-two billion, one hundred one million, three hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 5189 10378 15567 20399 20756 31134 40798 41512 61197 62268 67457 81596 83024 122394 124536 134914 163192 166048 202371 244788 249072 265187 269828 326384 404742 489576 498144 530374 539656 652768 795561 809484 979152 1060748 1079312 1591122 1618968 1958304 2121496 2158624 3182244 3237936 4242992 6364488 6475872 8485984 12728976 25457952 105850411 211700822 317551233 423401644 635102466 846803288 1270204932 1376055343 1693606576 2540409864 2752110686 3387213152 4128166029 5080819728 5504221372 8256332058 10161639456 11008442744 16512664116 22016885488 33025328232 44033770976 66050656464 132101312928