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131202030312 = 23341058919121
BaseRepresentation
bin111101000110001000…
…0000001101011101000
3110112122200202201020000
41322030100001223220
54122200204432222
6140135014503000
712323210566623
oct1721420015350
9415580681200
10131202030312
1150708142311
1221517364a60
13c4abc2a182
1464c8da6dba
15362d6509ac
hex1e8c401ae8

131202030312 has 80 divisors (see below), whose sum is σ = 367541093700. Its totient is φ = 43727592960.

The previous prime is 131202030307. The next prime is 131202030317. The reversal of 131202030312 is 213030202131.

131202030312 is a `hidden beast` number, since 131 + 20 + 203 + 0 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (131202030307) and next prime (131202030317).

It can be written as a sum of positive squares in 2 ways, for example, as 131198981796 + 3048516 = 362214^2 + 1746^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131202030317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6852112 + ... + 6871232.

Almost surely, 2131202030312 is an apocalyptic number.

131202030312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131202030312 is an abundant number, since it is smaller than the sum of its proper divisors (236339063388).

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

131202030312 is a wasteful number, since it uses less digits than its factorization.

131202030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29728 (or 29715 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131202030312 its reverse (213030202131), we get a palindrome (344232232443).

The spelling of 131202030312 in words is "one hundred thirty-one billion, two hundred two million, thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 10589 19121 21178 31767 38242 42356 57363 63534 76484 84712 95301 114726 127068 152968 172089 190602 229452 254136 285903 344178 381204 458904 516267 571806 688356 762408 857709 1032534 1143612 1376712 1548801 1715418 2065068 2287224 3097602 3430836 4130136 6195204 6861672 12390408 202472269 404944538 607416807 809889076 1214833614 1619778152 1822250421 2429667228 3644500842 4859334456 5466751263 7289001684 10933502526 14578003368 16400253789 21867005052 32800507578 43734010104 65601015156 131202030312