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231230332201131 = 32233679547318817
BaseRepresentation
bin110100100100110110000001…
…110011111110100010101011
31010022201101220102102101200200
4310210312001303332202223
5220301434210020414011
62135441425333403243
766463561122122244
oct6444660163764253
91108641812371620
10231230332201131
116774a26240210a
1221b25ba2499523
139c03c08141823
144115871ad9ccb
151baec718ec856
hexd24d81cfe8ab

231230332201131 has 48 divisors (see below), whose sum is σ = 349508430695424. Its totient is φ = 147033587999232.

The previous prime is 231230332201109. The next prime is 231230332201147. The reversal of 231230332201131 is 131102233032132.

231230332201131 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 303 + 3 + 220 + 1 + 131 = 666.

It is not a de Polignac number, because 231230332201131 - 26 = 231230332201067 is a prime.

It is a super-2 number, since 2×2312303322011312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231230332201095 and 231230332201104.

It is not an unprimeable number, because it can be changed into a prime (231230332201151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725116635 + ... + 725435451.

It is an arithmetic number, because the mean of its divisors is an integer number (7281425639488).

Almost surely, 2231230332201131 is an apocalyptic number.

231230332201131 is a deficient number, since it is larger than the sum of its proper divisors (118278098494293).

231230332201131 is a wasteful number, since it uses less digits than its factorization.

231230332201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328760 (or 328757 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 231230332201131 its reverse (131102233032132), we get a palindrome (362332565233263).

The spelling of 231230332201131 in words is "two hundred thirty-one trillion, two hundred thirty billion, three hundred thirty-two million, two hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 23 69 207 367 1101 3303 8441 9547 25323 28641 75969 85923 219581 318817 658743 956451 1976229 2869353 3503749 7332791 10511247 21998373 31533741 65995119 80586227 117005839 241758681 351017517 725276043 1053052551 2691134297 3043745899 8073402891 9131237697 24220208673 27393713091 70006155677 210018467031 630055401093 1117054744933 3351164234799 10053492704397 25692259133459 77076777400377 231230332201131