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132322133120 = 2751271627979
BaseRepresentation
bin111101100111100000…
…0111000010010000000
3110122112202102211102012
41323033000320102000
54131443431224440
6140442110312052
712363031400522
oct1731700702200
9418482384365
10132322133120
1151132438111
122178a4b8628
13c629cc8cb8
146593a59a12
153696b57e65
hex1ecf038480

132322133120 has 64 divisors (see below), whose sum is σ = 318823603200. Its totient is φ = 52512058368.

The previous prime is 132322133107. The next prime is 132322133171. The reversal of 132322133120 is 21331223231.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732710 + ... + 895269.

It is an arithmetic number, because the mean of its divisors is an integer number (4981618800).

Almost surely, 2132322133120 is an apocalyptic number.

132322133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132322133120 is an abundant number, since it is smaller than the sum of its proper divisors (186501470080).

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

132322133120 is a wasteful number, since it uses less digits than its factorization.

132322133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628125 (or 1628113 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132322133120 its reverse (21331223231), we get a palindrome (153653356351).

The spelling of 132322133120 in words is "one hundred thirty-two billion, three hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 320 508 635 640 1016 1270 2032 2540 4064 5080 8128 10160 16256 20320 40640 81280 1627979 3255958 6511916 8139895 13023832 16279790 26047664 32559580 52095328 65119160 104190656 130238320 206753333 208381312 260476640 413506666 520953280 827013332 1033766665 1041906560 1654026664 2067533330 3308053328 4135066660 6616106656 8270133320 13232213312 16540266640 26464426624 33080533280 66161066560 132322133120