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131221794 = 231197103199
BaseRepresentation
bin1111101001001…
…00100100100010
3100010220202110110
413310210210202
5232043044134
621004312150
73152236554
oct764444442
9303822413
10131221794
1168086970
1237b42656
1321255942
14135db4d4
15b7c07e9
hex7d24922

131221794 has 64 divisors (see below), whose sum is σ = 293529600. Its totient is φ = 38776320.

The previous prime is 131221789. The next prime is 131221801. The reversal of 131221794 is 497122131.

It is a Curzon number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659307 + ... + 659505.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2131221794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131221794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).

131221794 is an abundant number, since it is smaller than the sum of its proper divisors (162307806).

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

131221794 is a wasteful number, since it uses less digits than its factorization.

131221794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415.

The product of its digits is 3024, while the sum is 30.

The square root of 131221794 is about 11455.2081604832. The cubic root of 131221794 is about 508.1617713858.

The spelling of 131221794 in words is "one hundred thirty-one million, two hundred twenty-one thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 11 22 33 66 97 103 194 199 206 291 309 398 582 597 618 1067 1133 1194 2134 2189 2266 3201 3399 4378 6402 6567 6798 9991 13134 19303 19982 20497 29973 38606 40994 57909 59946 61491 109901 115818 122982 212333 219802 225467 329703 424666 450934 636999 659406 676401 1273998 1352802 1988209 3976418 5964627 11929254 21870299 43740598 65610897 131221794