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213243133410 = 233517373793313
BaseRepresentation
bin1100011010011001000…
…1111111110111100010
3202101102021120120022000
43012212101333313202
511443210220232120
6241543524224430
721256235504256
oct3064621776742
9671367516260
10213243133410
118248820a35a
12353b283b116
1317154b9aca8
14a46cc5a266
155830e00990
hex31a647fde2

213243133410 has 256 divisors, whose sum is σ = 620189913600. Its totient is φ = 51920289792.

The previous prime is 213243133403. The next prime is 213243133429. The reversal of 213243133410 is 14331342312.

It is a happy number.

213243133410 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 4 + 313 + 341 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64363914 + ... + 64367226.

It is an arithmetic number, because the mean of its divisors is an integer number (2422616850).

Almost surely, 2213243133410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213243133410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310094956800).

213243133410 is an abundant number, since it is smaller than the sum of its proper divisors (406946780190).

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

213243133410 is a wasteful number, since it uses less digits than its factorization.

213243133410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213243133410 its reverse (14331342312), we get a palindrome (227574475722).

The spelling of 213243133410 in words is "two hundred thirteen billion, two hundred forty-three million, one hundred thirty-three thousand, four hundred ten".