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132132010320 = 2433561172227
BaseRepresentation
bin111101100001110101…
…1100111100101010000
3110122001111200120222000
41323003223213211100
54131101243312240
6140411155314000
712355232361612
oct1730353474520
9418044616860
10132132010320
1151045091032
12217368ab900
13c5c97bc6bb
1465766c8db2
153685100430
hex1ec3ae7950

132132010320 has 80 divisors (see below), whose sum is σ = 455121376320. Its totient is φ = 35235202176.

The previous prime is 132132010313. The next prime is 132132010333. The reversal of 132132010320 is 23010231231.

132132010320 is a `hidden beast` number, since 1 + 3 + 21 + 320 + 1 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132132010293 and 132132010302.

It is a congruent number.

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, 30583954 + ... + 30588273.

It is an arithmetic number, because the mean of its divisors is an integer number (5689017204).

Almost surely, 2132132010320 is an apocalyptic number.

132132010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132132010320 is an abundant number, since it is smaller than the sum of its proper divisors (322989366000).

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

132132010320 is a wasteful number, since it uses less digits than its factorization.

132132010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61172249 (or 61172237 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132132010320 its reverse (23010231231), we get a palindrome (155142241551).

The spelling of 132132010320 in words is "one hundred thirty-two billion, one hundred thirty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 61172227 122344454 183516681 244688908 305861135 367033362 489377816 550550043 611722270 734066724 917583405 978755632 1101100086 1223444540 1468133448 1651650129 1835166810 2202200172 2446889080 2752750215 2936266896 3303300258 3670333620 4404400344 4893778160 5505500430 6606600516 7340667240 8258250645 8808800688 11011000860 13213201032 14681334480 16516501290 22022001720 26426402064 33033002580 44044003440 66066005160 132132010320