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132075054100 = 2252111071122133
BaseRepresentation
bin111101100000001001…
…0010110010000010100
3110121220112111220201101
41323000102112100110
54130442203212400
6140401402435444
712353641302523
oct1730022262024
9417815456641
10132075054100
1151015a19a80
122171b802b84
13c5baa69cb2
14656cd004ba
1536800ee56a
hex1ec0496414

132075054100 has 72 divisors (see below), whose sum is σ = 315579989088. Its totient is φ = 47578396800.

The previous prime is 132075054053. The next prime is 132075054149. The reversal of 132075054100 is 1450570231.

It is a happy number.

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, 443367 + ... + 678766.

It is an arithmetic number, because the mean of its divisors is an integer number (4383055404).

Almost surely, 2132075054100 is an apocalyptic number.

132075054100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132075054100 is an abundant number, since it is smaller than the sum of its proper divisors (183504934988).

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

132075054100 is a wasteful number, since it uses less digits than its factorization.

132075054100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122265 (or 1122258 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 132075054100 in words is "one hundred thirty-two billion, seventy-five million, fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 4708 5350 5885 10700 11770 23540 29425 58850 117700 1122133 2244266 4488532 5610665 11221330 12343463 22442660 24686926 28053325 49373852 56106650 61717315 112213300 120068231 123434630 240136462 246869260 308586575 480272924 600341155 617173150 1200682310 1234346300 1320750541 2401364620 2641501082 3001705775 5283002164 6003411550 6603752705 12006823100 13207505410 26415010820 33018763525 66037527050 132075054100