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10205242453203 = 37212726912491627
BaseRepresentation
bin1001010010000001011111…
…0110011110110011010011
31100010121111220010011011020
42110200113312132303103
52314200314032000303
633412120151050523
72102206264406400
oct224402766366323
940117456104136
1010205242453203
113285023350976
121189a17070a43
135904726058c5
14273d175852a7
1512a6dd761a53
hex94817d9ecd3

10205242453203 has 96 divisors (see below), whose sum is σ = 16035148800000. Its totient is φ = 5755986302976.

The previous prime is 10205242453201. The next prime is 10205242453267. The reversal of 10205242453203 is 30235424250201.

It is not a de Polignac number, because 10205242453203 - 21 = 10205242453201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10205242453201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6272428476 + ... + 6272430102.

It is an arithmetic number, because the mean of its divisors is an integer number (167032800000).

Almost surely, 210205242453203 is an apocalyptic number.

10205242453203 is a deficient number, since it is larger than the sum of its proper divisors (5829906346797).

10205242453203 is a wasteful number, since it uses less digits than its factorization.

10205242453203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 10205242453203 in words is "ten trillion, two hundred five billion, two hundred forty-two million, four hundred fifty-three thousand, two hundred three".

Divisors: 1 3 7 21 49 127 147 269 381 807 889 1249 1627 1883 2667 3747 4881 5649 6223 8743 11389 13181 18669 26229 34163 34167 39543 61201 79723 102489 158623 183603 206629 239141 239169 335981 437663 475869 619887 717423 1007943 1110361 1312989 1446403 1673987 2032123 2351867 3063641 3331083 4339209 5021961 6096369 7055601 7772527 9190923 10124821 14224861 16463069 21445487 23317581 30374463 42669587 42674583 49389207 55583201 64336461 99574027 128008761 166749603 258079621 298687109 298722081 389082407 546641087 774238863 896061327 1167247221 1639923261 1806557347 2090809763 2723576849 3826487609 5419672041 6272429289 8170730547 11479462827 12645901429 26785413263 37937704287 69423418049 80356239789 208270254147 485963926343 1457891779029 3401747484401 10205242453203