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10645132212 = 223311132371433
BaseRepresentation
bin10011110100111111…
…11101001110110100
31000110212200202011000
421322133331032310
5133300123212322
64520150043300
7524540062611
oct117237751664
930425622130
1010645132212
114572999430
122091049530
131008558900
1472dad7508
154248433ac
hex27a7fd3b4

10645132212 has 288 divisors, whose sum is σ = 33506040960. Its totient is φ = 2895160320.

The previous prime is 10645132187. The next prime is 10645132229. The reversal of 10645132212 is 21223154601.

10645132212 is a `hidden beast` number, since 1 + 0 + 645 + 1 + 3 + 2 + 2 + 12 = 666.

It is a super-2 number, since 2×106451322122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7427848 + ... + 7429280.

It is an arithmetic number, because the mean of its divisors is an integer number (116340420).

Almost surely, 210645132212 is an apocalyptic number.

10645132212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

10645132212 is the 51588-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10645132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753020480).

10645132212 is an abundant number, since it is smaller than the sum of its proper divisors (22860908748).

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

10645132212 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (10645132211) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1499).

10645132212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10645132212 its reverse (21223154601), we get a palindrome (31868286813).

The spelling of 10645132212 in words is "ten billion, six hundred forty-five million, one hundred thirty-two thousand, two hundred twelve".