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213223213332 = 223231191060227
BaseRepresentation
bin1100011010010100011…
…0000000100100010100
3202101100220002112002100
43012211012000210110
511443140120311312
6241541533242100
721255604260243
oct3064506004424
9671326075070
10213223213332
1182477a44088
12353a8033330
1317150a1506c
14a46a35295a
15582e2b85dc
hex31a5180914

213223213332 has 36 divisors (see below), whose sum is σ = 556367383936. Its totient is φ = 68781681360.

The previous prime is 213223213319. The next prime is 213223213349. The reversal of 213223213332 is 233312322312.

213223213332 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 321 + 3 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213223213296 and 213223213305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95528998 + ... + 95531229.

Almost surely, 2213223213332 is an apocalyptic number.

It is an amenable number.

213223213332 is an abundant number, since it is smaller than the sum of its proper divisors (343144170604).

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

213223213332 is a wasteful number, since it uses less digits than its factorization.

213223213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191060268 (or 191060263 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 213223213332 its reverse (233312322312), we get a palindrome (446535535644).

The spelling of 213223213332 in words is "two hundred thirteen billion, two hundred twenty-three million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 191060227 382120454 573180681 764240908 1146361362 1719542043 2292722724 3439084086 5922867037 6878168172 11845734074 17768601111 23691468148 35537202222 53305803333 71074404444 106611606666 213223213332