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132131034200 = 235211471277863
BaseRepresentation
bin111101100001110011…
…1111001010001011000
3110122001102211222222102
41323003213321101120
54131101021043300
6140411122342532
712355221155024
oct1730347712130
9418042758872
10132131034200
1151044584720
12217364baa48
13c5c953a309
146576513384
153684eab0d5
hex1ec39f9458

132131034200 has 96 divisors (see below), whose sum is σ = 342263093760. Its totient is φ = 47025321600.

The previous prime is 132131034181. The next prime is 132131034229. The reversal of 132131034200 is 2430131231.

It is a super-2 number, since 2×1321310342002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535532 + ... + 742331.

It is an arithmetic number, because the mean of its divisors is an integer number (3565240560).

Almost surely, 2132131034200 is an apocalyptic number.

132131034200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132131034200 is an abundant number, since it is smaller than the sum of its proper divisors (210132059560).

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

132131034200 is a wasteful number, since it uses less digits than its factorization.

132131034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277937 (or 1277928 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132131034200 its reverse (2430131231), we get a palindrome (134561165431).

The spelling of 132131034200 in words is "one hundred thirty-two billion, one hundred thirty-one million, thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 376 440 470 517 550 940 1034 1100 1175 1880 2068 2200 2350 2585 4136 4700 5170 9400 10340 12925 20680 25850 51700 103400 1277863 2555726 5111452 6389315 10222904 12778630 14056493 25557260 28112986 31946575 51114520 56225972 60059561 63893150 70282465 112451944 120119122 127786300 140564930 240238244 255572600 281129860 300297805 351412325 480476488 562259720 600595610 660655171 702824650 1201191220 1321310342 1405649300 1501489025 2402382440 2642620684 2811298600 3002978050 3303275855 5285241368 6005956100 6606551710 12011912200 13213103420 16516379275 26426206840 33032758550 66065517100 132131034200