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213132332232 = 233210338537459
BaseRepresentation
bin1100011001111110101…
…1010100110011001000
3202101010120002021122200
43012133223110303020
511442443334112412
6241524525320200
721253421634621
oct3063753246310
9671116067580
10213132332232
1182430710836
1235381706060
1317137c45071
14a45c256a48
1558263159dc
hex319fad4cc8

213132332232 has 96 divisors (see below), whose sum is σ = 583067035200. Its totient is φ = 70326672768.

The previous prime is 213132332201. The next prime is 213132332239. The reversal of 213132332232 is 232233231312.

213132332232 is a `hidden beast` number, since 2 + 1 + 313 + 23 + 322 + 3 + 2 = 666.

It is a super-2 number, since 2×2131323322322 (a number of 23 digits) contains 22 as substring.

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 = 213132332196 and 213132332205.

It is not an unprimeable number, because it can be changed into a prime (213132332239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28570119 + ... + 28577577.

It is an arithmetic number, because the mean of its divisors is an integer number (6073614950).

Almost surely, 2213132332232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213132332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291533517600).

213132332232 is an abundant number, since it is smaller than the sum of its proper divisors (369934702968).

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

213132332232 is a wasteful number, since it uses less digits than its factorization.

213132332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11427 (or 11420 counting only the distinct ones).

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

Adding to 213132332232 its reverse (232233231312), we get a palindrome (445365563544).

The spelling of 213132332232 in words is "two hundred thirteen billion, one hundred thirty-two million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 3853 7416 7459 7706 11559 14918 15412 22377 23118 29836 30824 34677 44754 46236 59672 67131 69354 89508 92472 134262 138708 179016 268524 277416 396859 537048 768277 793718 1190577 1536554 1587436 2304831 2381154 3073108 3174872 3571731 4609662 4762308 6146216 6914493 7143462 9219324 9524616 13828986 14286924 18438648 27657972 28573848 28739527 55315944 57479054 86218581 114958108 172437162 229916216 258655743 344874324 517311486 689748648 1034622972 2069245944 2960171281 5920342562 8880513843 11840685124 17761027686 23681370248 26641541529 35522055372 53283083058 71044110744 106566166116 213132332232