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231213220002 = 232371013437297
BaseRepresentation
bin1101011101010101100…
…0011100000010100010
3211002210122110112211200
43113111120130002202
512242011041020002
6254115021422030
722463451641262
oct3272530340242
9732718415750
10231213220002
118a069920396
1238988a0a916
1318a59b56b1b
14b2956db7a2
15603384ab1c
hex35d561c0a2

231213220002 has 48 divisors (see below), whose sum is σ = 519595714872. Its totient is φ = 74245593600.

The previous prime is 231213220001. The next prime is 231213220019. The reversal of 231213220002 is 200022312132.

231213220002 is a `hidden beast` number, since 231 + 213 + 220 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 187982077761 + 43231142241 = 433569^2 + 207921^2 .

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 (231213220001) 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, 1651383 + ... + 1785914.

Almost surely, 2231213220002 is an apocalyptic number.

231213220002 is an abundant number, since it is smaller than the sum of its proper divisors (288382494870).

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

231213220002 is a wasteful number, since it uses less digits than its factorization.

231213220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437443 (or 3437440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 231213220002 its reverse (200022312132), we get a palindrome (431235532134).

The spelling of 231213220002 in words is "two hundred thirty-one billion, two hundred thirteen million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1818 3737 7474 11211 22422 33633 67266 3437297 6874594 10311891 20623782 30935673 61871346 127179989 254359978 347166997 381539967 694333994 763079934 1041500991 1144619901 2083001982 2289239802 3124502973 6249005946 12845178889 25690357778 38535536667 77071073334 115606610001 231213220002