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132013032120 = 2334540744763
BaseRepresentation
bin111101011110010010…
…1110000001010111000
3110121202012210212120000
41322330211300022320
54130330314011440
6140351305233000
712352256154444
oct1727445601270
9417665725500
10132013032120
1150a93a07a42
1221702a92760
13c5aac628b8
146564997824
15367994c730
hex1ebc9702b8

132013032120 has 80 divisors (see below), whose sum is σ = 443710479960. Its totient is φ = 35203474368.

The previous prime is 132013032103. The next prime is 132013032139. The reversal of 132013032120 is 21230310231.

132013032120 is a `hidden beast` number, since 1 + 320 + 1 + 3 + 0 + 321 + 20 = 666.

132013032120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 132013032093 and 132013032102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20369142 + ... + 20375621.

Almost surely, 2132013032120 is an apocalyptic number.

132013032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013032120 is an abundant number, since it is smaller than the sum of its proper divisors (311697447840).

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

132013032120 is a wasteful number, since it uses less digits than its factorization.

132013032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40744786 (or 40744773 counting only the distinct ones).

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

Adding to 132013032120 its reverse (21230310231), we get a palindrome (153243342351).

The spelling of 132013032120 in words is "one hundred thirty-two billion, thirteen million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 40744763 81489526 122234289 162979052 203723815 244468578 325958104 366702867 407447630 488937156 611171445 733405734 814895260 977874312 1100108601 1222342890 1466811468 1629790520 1833514335 2200217202 2444685780 2933622936 3300325803 3667028670 4400434404 4889371560 5500543005 6600651606 7334057340 8800868808 11001086010 13201303212 14668114680 16501629015 22002172020 26402606424 33003258030 44004344040 66006516060 132013032120