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132100023120 = 24351342339751
BaseRepresentation
bin111101100000111000…
…1100110001101010000
3110121222021111110202220
41323001301212031100
54131020101214440
6140404053541040
712354363445512
oct1730161461520
9417867443686
10132100023120
115102902362a
1221728044780
13c5c2ca0070
14657235dbb2
1536823d28d0
hex1ec1c66350

132100023120 has 80 divisors (see below), whose sum is σ = 441010856832. Its totient is φ = 32516928000.

The previous prime is 132100023101. The next prime is 132100023127. The reversal of 132100023120 is 21320001231.

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

It is a super-2 number, since 2×1321000231202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132100023120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132100023127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21166756 + ... + 21172995.

Almost surely, 2132100023120 is an apocalyptic number.

132100023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132100023120 is an abundant number, since it is smaller than the sum of its proper divisors (308910833712).

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

132100023120 is a wasteful number, since it uses less digits than its factorization.

132100023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42339780 (or 42339774 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132100023120 its reverse (21320001231), we get a palindrome (153420024351).

The spelling of 132100023120 in words is "one hundred thirty-two billion, one hundred million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 42339751 84679502 127019253 169359004 211698755 254038506 338718008 423397510 508077012 550416763 635096265 677436016 846795020 1016154024 1100833526 1270192530 1651250289 1693590040 2032308048 2201667052 2540385060 2752083815 3302500578 3387180080 4403334104 5080770120 5504167630 6605001156 8256251445 8806668208 10161540240 11008335260 13210002312 16512502890 22016670520 26420004624 33025005780 44033341040 66050011560 132100023120