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132314433100 = 225245716631741
BaseRepresentation
bin111101100111010001…
…1100000011001001100
3110122112012221121222021
41323032203200121030
54131434443324400
6140441233255524
712362606060503
oct1731643403114
9418465847867
10132314433100
1151129058a63
1221787a045a4
13c628531285
146592a1383a
15369613671a
hex1ece8e064c

132314433100 has 72 divisors (see below), whose sum is σ = 288089005568. Its totient is φ = 52747891200.

The previous prime is 132314433049. The next prime is 132314433103. The reversal of 132314433100 is 1334413231.

It is a super-2 number, since 2×1323144331002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (132314433103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75998230 + ... + 75999970.

Almost surely, 2132314433100 is an apocalyptic number.

132314433100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132314433100 is an abundant number, since it is smaller than the sum of its proper divisors (155774572468).

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

132314433100 is a wasteful number, since it uses less digits than its factorization.

132314433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 132314433100 its reverse (1334413231), we get a palindrome (133648846331).

The spelling of 132314433100 in words is "one hundred thirty-two billion, three hundred fourteen million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 457 914 1663 1741 1828 2285 3326 3482 4570 6652 6964 8315 8705 9140 11425 16630 17410 22850 33260 34820 41575 43525 45700 83150 87050 166300 174100 759991 795637 1519982 1591274 2895283 3039964 3182548 3799955 3978185 5790566 7599910 7956370 11581132 14476415 15199820 15912740 18999775 19890925 28952830 37999550 39781850 57905660 72382075 75999100 79563700 144764150 289528300 1323144331 2646288662 5292577324 6615721655 13231443310 26462886620 33078608275 66157216550 132314433100