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10201209975 = 32521117242453
BaseRepresentation
bin10011000000000101…
…00001110001110111
3222022221101011022200
421200002201301313
5131343002204400
64404131155543
7510536565645
oct114002416167
928287334280
1010201209975
114365354050
121b88445bb3
13c675a9428
146cab7c195
153ea8a5b00
hex2600a1c77

10201209975 has 72 divisors (see below), whose sum is σ = 21105135792. Its totient is φ = 4655078400.

The previous prime is 10201209973. The next prime is 10201209983. The reversal of 10201209975 is 57990210201.

It is not a de Polignac number, because 10201209975 - 21 = 10201209973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201209973) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79152 + ... + 163301.

It is an arithmetic number, because the mean of its divisors is an integer number (293126886).

Almost surely, 210201209975 is an apocalyptic number.

10201209975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10201209975 is an abundant number, since it is smaller than the sum of its proper divisors (10903925817).

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

10201209975 is a wasteful number, since it uses less digits than its factorization.

10201209975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242497 (or 242489 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 10201209975 in words is "ten billion, two hundred one million, two hundred nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 153 165 187 225 255 275 425 495 561 765 825 935 1275 1683 2475 2805 3825 4675 8415 14025 42075 242453 727359 1212265 2182077 2666983 3636795 4121701 6061325 8000949 10910385 12365103 13334915 18183975 20608505 24002847 37095309 40004745 45338711 54551925 61825515 66674575 103042525 120014235 136016133 185476545 200023725 226693555 309127575 408048399 600071175 680080665 927382725 1133467775 2040241995 3400403325 10201209975