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213223512132 = 223323611407193
BaseRepresentation
bin1100011010010100011…
…1001001100001000100
3202101100220122200222000
43012211013021201010
511443140204342012
6241541543505300
721255606643341
oct3064507114104
9671326580860
10213223512132
1182478128624
12353a8158230
1317150abb077
14a46a3cd7c8
15582e326ddc
hex31a51c9844

213223512132 has 96 divisors (see below), whose sum is σ = 586293308160. Its totient is φ = 66869763840.

The previous prime is 213223512119. The next prime is 213223512133. The reversal of 213223512132 is 231215322312.

213223512132 is a `hidden beast` number, since 2 + 13 + 2 + 2 + 3 + 512 + 132 = 666.

It is a super-2 number, since 2×2132235121322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213223512096 and 213223512105.

It is not an unprimeable number, because it can be changed into a prime (213223512133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552073 + ... + 855120.

It is an arithmetic number, because the mean of its divisors is an integer number (6107221960).

Almost surely, 2213223512132 is an apocalyptic number.

It is an amenable number.

213223512132 is an abundant number, since it is smaller than the sum of its proper divisors (373069796028).

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

213223512132 is a wasteful number, since it uses less digits than its factorization.

213223512132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407290 (or 1407282 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 213223512132 its reverse (231215322312), we get a palindrome (444438834444).

The spelling of 213223512132 in words is "two hundred thirteen billion, two hundred twenty-three million, five hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 61 69 92 108 122 138 183 207 244 276 366 414 549 621 732 828 1098 1242 1403 1647 2196 2484 2806 3294 4209 5612 6588 8418 12627 16836 25254 37881 50508 75762 151524 1407193 2814386 4221579 5628772 8443158 12664737 16886316 25329474 32365439 37994211 50658948 64730878 75988422 85838773 97096317 129461756 151976844 171677546 194192634 257516319 291288951 343355092 388385268 515032638 582577902 772548957 873866853 1030065276 1165155804 1545097914 1747733706 1974291779 2317646871 3090195828 3495467412 3948583558 4635293742 5922875337 7897167116 9270587484 11845750674 17768626011 23691501348 35537252022 53305878033 71074504044 106611756066 213223512132