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130221210231 = 32723119149871
BaseRepresentation
bin111100101000111001…
…0011111101001110111
3110110010100011220000100
41321101302133221313
54113143112211411
6135453420245143
712260001011100
oct1712162375167
9413110156010
10130221210231
1150254529702
12212a29a07b3
13c383977068
146434a0d3a7
1535c24ac456
hex1e51c9fa77

130221210231 has 72 divisors (see below), whose sum is σ = 227052453888. Its totient is φ = 71633268000.

The previous prime is 130221210193. The next prime is 130221210311. The reversal of 130221210231 is 132012122031.

130221210231 is a `hidden beast` number, since 1 + 3 + 0 + 221 + 210 + 231 = 666.

It is not a de Polignac number, because 130221210231 - 214 = 130221193847 is a prime.

It is a super-2 number, since 2×1302212102312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130221210331) 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 71 ways as a sum of consecutive naturals, for example, 2586226 + ... + 2636096.

It is an arithmetic number, because the mean of its divisors is an integer number (3153506304).

Almost surely, 2130221210231 is an apocalyptic number.

130221210231 is a deficient number, since it is larger than the sum of its proper divisors (96831243657).

130221210231 is a wasteful number, since it uses less digits than its factorization.

130221210231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50113 (or 50103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130221210231 its reverse (132012122031), we get a palindrome (262233332262).

The spelling of 130221210231 in words is "one hundred thirty billion, two hundred twenty-one million, two hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 31 49 63 93 147 191 217 279 441 573 651 1337 1519 1719 1953 4011 4557 5921 9359 12033 13671 17763 28077 41447 49871 53289 84231 124341 149613 290129 349097 373023 448839 870387 1047291 1546001 2443679 2611161 3141873 4638003 7331037 9525361 10822007 13914009 21993111 28576083 32466021 66677527 75754049 85728249 97398063 200032581 227262147 295286191 466742689 600097743 681786441 885858573 1400228067 2067003337 2657575719 4200684201 6201010011 14469023359 18603030033 43407070077 130221210231