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204132121110 = 233517101440329
BaseRepresentation
bin1011111000011100111…
…0001111101000010110
3201111220022121012001000
42332013032033220112
511321030310333420
6233435455444130
720514404254221
oct2760716175026
9644808535030
10204132121110
1179632295a25
123368b526646
131633241c958
149c46bc85b8
15549b0e6690
hex2f8738fa16

204132121110 has 128 divisors (see below), whose sum is σ = 582081033600. Its totient is φ = 50725785600.

The previous prime is 204132121079. The next prime is 204132121117. The reversal of 204132121110 is 11121231402.

204132121110 is a `hidden beast` number, since 20 + 413 + 2 + 121 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204132121117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243426 + ... + 683754.

It is an arithmetic number, because the mean of its divisors is an integer number (4547508075).

Almost surely, 2204132121110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204132121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291040516800).

204132121110 is an abundant number, since it is smaller than the sum of its proper divisors (377948912490).

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

204132121110 is a wasteful number, since it uses less digits than its factorization.

204132121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440463 (or 440457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 204132121110 its reverse (11121231402), we get a palindrome (215253352512).

The spelling of 204132121110 in words is "two hundred four billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 101 102 135 153 170 202 255 270 303 306 459 505 510 606 765 909 918 1010 1515 1530 1717 1818 2295 2727 3030 3434 4545 4590 5151 5454 8585 9090 10302 13635 15453 17170 25755 27270 30906 46359 51510 77265 92718 154530 231795 440329 463590 880658 1320987 2201645 2641974 3962961 4403290 6604935 7485593 7925922 11888883 13209870 14971186 19814805 22456779 23777766 37427965 39629610 44473229 44913558 59444415 67370337 74855930 88946458 112283895 118888830 133419687 134740674 202111011 222366145 224567790 266839374 336851685 400259061 404222022 444732290 667098435 673703370 756044893 800518122 1010555055 1200777183 1334196870 1512089786 2001295305 2021110110 2268134679 2401554366 3780224465 4002590610 4536269358 6003885915 6804404037 7560448930 11340673395 12007771830 13608808074 20413212111 22681346790 34022020185 40826424222 68044040370 102066060555 204132121110