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1204209943225 = 524125321012
BaseRepresentation
bin10001100001100000100…
…000011000001010111001
311021010021110110101101121
4101201200200120022321
5124212210221140400
62321112330145241
7153000305426002
oct21414040301271
94233243411347
101204209943225
11424780134813
12175473582221
1389730865483
14423d96cc1a9
15214ce5d121a
hex118608182b9

1204209943225 has 81 divisors (see below), whose sum is σ = 1575549379957. Its totient is φ = 913007680000.

The previous prime is 1204209943213. The next prime is 1204209943247. The reversal of 1204209943225 is 5223499024021.

The square root of 1204209943225 is 1097365.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 1189990811689 + 14219131536 = 1090867^2 + 119244^2 .

It is not a de Polignac number, because 1204209943225 - 217 = 1204209812153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11922870675 + ... + 11922870775.

Almost surely, 21204209943225 is an apocalyptic number.

1204209943225 is the 1097365-th square number.

1204209943225 is the 548683-rd centered octagonal number.

It is an amenable number.

1204209943225 is a deficient number, since it is larger than the sum of its proper divisors (371339436732).

1204209943225 is an frugal number, since it uses more digits than its factorization.

1204209943225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 1204209943225 in words is "one trillion, two hundred four billion, two hundred nine million, nine hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 41 53 101 205 265 505 1025 1325 1681 2173 2525 2809 4141 5353 8405 10201 10865 14045 20705 26765 42025 51005 54325 70225 89093 103525 115169 133825 169781 219473 255025 283709 418241 445465 540653 575845 848905 1097365 1418545 2091205 2227325 2703265 2879225 4244525 4721929 5486825 7092725 8998393 10456025 11632069 13516325 17147881 22166773 23609645 28654609 44991965 58160345 85739405 110833865 118048225 143273045 224959825 290801725 428697025 476914829 554169325 716365225 908837693 1174838969 2384574145 4544188465 5874194845 11922870725 22720942325 29370974225 48168397729 240841988645 1204209943225