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213523153454520 = 2333571317312558383
BaseRepresentation
bin110000100011001010111011…
…101101101000010110111000
31001000000121120200122122201000
4300203022323231220112320
5210441330404241021040
62034043103232125000
762655352536143460
oct6043127355502670
91030017520578630
10213523153454520
116204272a651618
121bb46274096760
13921b1bab925c0
143aa280bca4ba0
1519a4361d7c130
hexc232bbb685b8

213523153454520 has 512 divisors, whose sum is σ = 881056034611200. Its totient is φ = 44790624774144.

The previous prime is 213523153454449. The next prime is 213523153454531. The reversal of 213523153454520 is 25454351325312.

213523153454520 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 2 + 3 + 153 + 45 + 452 + 0 = 666.

213523153454520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2135231534545202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 10723249 + ... + 23281631.

It is an arithmetic number, because the mean of its divisors is an integer number (1720812567600).

Almost surely, 2213523153454520 is an apocalyptic number.

213523153454520 is a gapful number since it is divisible by the number (20) 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 213523153454520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440528017305600).

213523153454520 is an abundant number, since it is smaller than the sum of its proper divisors (667532881156680).

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

213523153454520 is a wasteful number, since it uses less digits than its factorization.

213523153454520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12558596 (or 12558586 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 213523153454520 in words is "two hundred thirteen trillion, five hundred twenty-three billion, one hundred fifty-three million, four hundred fifty-four thousand, five hundred twenty".