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131229743432 = 2321126072
BaseRepresentation
bin111101000110111100…
…1101111100101001000
3110112201121220200110212
41322031321233211020
54122224303242212
6140141444500252
712323665262114
oct1721571574510
9415647820425
10131229743432
1150721850617
12215246aa688
13c4b48b1278
1464cc93c744
153630cc6e22
hex1e8de6f948

131229743432 has 36 divisors (see below), whose sum is σ = 247635401715. Its totient is φ = 65196316080.

The previous prime is 131229743389. The next prime is 131229743471. The reversal of 131229743432 is 234347922131.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 65614871716 + 65614871716 = 256154^2 + 256154^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=256154.

It is a super-2 number, since 2×1312297434322 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131229743432.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 216193673 + ... + 216194279.

Almost surely, 2131229743432 is an apocalyptic number.

It is an amenable number.

131229743432 is a deficient number, since it is larger than the sum of its proper divisors (116405658283).

131229743432 is an frugal number, since it uses more digits than its factorization.

131229743432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 820 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The spelling of 131229743432 in words is "one hundred thirty-one billion, two hundred twenty-nine million, seven hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 211 422 607 844 1214 1688 2428 4856 44521 89042 128077 178084 256154 356168 368449 512308 736898 1024616 1473796 2947592 27024247 54048494 77742739 108096988 155485478 216193976 310970956 621941912 16403717929 32807435858 65614871716 131229743432