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231312001122 = 23237421824977
BaseRepresentation
bin1101011101101101000…
…1010000100001100010
3211010001112100011001200
43113123101100201202
512242211333013442
6254132510542030
722466061366006
oct3273321204142
9733045304050
10231312001122
118a10a65a084
12389b5b07916
1318a744618a7
14b2a4892706
15603c35e34c
hex35db450862

231312001122 has 48 divisors (see below), whose sum is σ = 515944541112. Its totient is φ = 74841822720.

The previous prime is 231312001111. The next prime is 231312001127. The reversal of 231312001122 is 221100213132.

231312001122 is a `hidden beast` number, since 231 + 312 + 0 + 0 + 1 + 122 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125777331801 + 105534669321 = 354651^2 + 324861^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 231312001095 and 231312001104.

It is not an unprimeable number, because it can be changed into a prime (231312001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132103 + ... + 692874.

Almost surely, 2231312001122 is an apocalyptic number.

231312001122 is an abundant number, since it is smaller than the sum of its proper divisors (284632539990).

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

231312001122 is a wasteful number, since it uses less digits than its factorization.

231312001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825443 (or 825440 counting only the distinct ones).

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

Adding to 231312001122 its reverse (221100213132), we get a palindrome (452412214254).

The spelling of 231312001122 in words is "two hundred thirty-one billion, three hundred twelve million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 421 666 842 1263 2526 3789 7578 15577 31154 46731 93462 140193 280386 824977 1649954 2474931 4949862 7424793 14849586 30524149 61048298 91572447 183144894 274717341 347315317 549434682 694630634 1041945951 2083891902 3125837853 6251675706 12850666729 25701333458 38552000187 77104000374 115656000561 231312001122