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103044401226 = 232131274637489
BaseRepresentation
bin101111111110111101…
…1001100100001001010
3100211222100012221121200
41133331323030201022
53142013331314401
6115200555045030
710305351646554
oct1377573144112
9324870187550
10103044401226
113a778972878
1217b79440776
13994246bba0
144db75044d4
152a3164e686
hex17fdecc84a

103044401226 has 96 divisors (see below), whose sum is σ = 242885959680. Its totient is φ = 31384184832.

The previous prime is 103044401191. The next prime is 103044401231. The reversal of 103044401226 is 622104440301.

It is a happy number.

103044401226 is a `hidden beast` number, since 1 + 0 + 30 + 4 + 4 + 401 + 226 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103044401226.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13755690 + ... + 13763178.

It is an arithmetic number, because the mean of its divisors is an integer number (2530062080).

Almost surely, 2103044401226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103044401226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121442979840).

103044401226 is an abundant number, since it is smaller than the sum of its proper divisors (139841558454).

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

103044401226 is a wasteful number, since it uses less digits than its factorization.

103044401226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8100 (or 8097 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103044401226 its reverse (622104440301), we get a palindrome (725148841527).

The spelling of 103044401226 in words is "one hundred three billion, forty-four million, four hundred one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 463 762 926 1143 1389 1651 2286 2778 3302 4167 4953 6019 7489 8334 9906 12038 14859 14978 18057 22467 29718 36114 44934 54171 58801 67401 97357 108342 117602 134802 176403 194714 292071 352806 529209 584142 764413 876213 951103 1058418 1528826 1752426 1902206 2293239 2853309 3467407 4586478 5706618 6879717 6934814 8559927 10402221 12364339 13759434 17119854 20804442 24728678 31206663 37093017 45076291 62413326 74186034 90152582 111279051 135228873 222558102 270457746 405686619 440360689 811373238 880721378 1321082067 2642164134 3963246201 5724688957 7926492402 11449377914 17174066871 34348133742 51522200613 103044401226