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213112131232 = 257211132113647
BaseRepresentation
bin1100011001111001111…
…0010000111010100000
3202101002011001222002111
43012132132100322200
511442423201144412
6241522524325104
721253055140600
oct3063636207240
9671064058074
10213112131232
11824202734a0
12353769a3794
13171339c1300
14a4596b8c00
1558246752a7
hex319e790ea0

213112131232 has 432 divisors, whose sum is σ = 582542476992. Its totient is φ = 75848048640.

The previous prime is 213112131217. The next prime is 213112131263. The reversal of 213112131232 is 232131211312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329384733 + ... + 329385379.

It is an arithmetic number, because the mean of its divisors is an integer number (1348477956).

Almost surely, 2213112131232 is an apocalyptic number.

213112131232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213112131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291271238496).

213112131232 is an abundant number, since it is smaller than the sum of its proper divisors (369430345760).

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

213112131232 is a wasteful number, since it uses less digits than its factorization.

213112131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 793 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

Adding to 213112131232 its reverse (232131211312), we get a palindrome (445243342544).

The spelling of 213112131232 in words is "two hundred thirteen billion, one hundred twelve million, one hundred thirty-one thousand, two hundred thirty-two".