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213026912280 = 233557131731457
BaseRepresentation
bin1100011001100101100…
…1001011100000011000
3202100212012201101200000
43012121121023200120
511442234342143110
6241510242013000
721251001610050
oct3063131134030
9670765641600
10213026912280
1182387158206
1235352347160
131711c1545b0
14a44c254560
15581be401c0
hex319964b818

213026912280 has 1536 divisors, whose sum is σ = 967943208960. Its totient is φ = 40848261120.

The previous prime is 213026912261. The next prime is 213026912281. The reversal of 213026912280 is 82219620312.

It is a happy number.

213026912280 is a `hidden beast` number, since 2 + 1 + 302 + 69 + 12 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213026912281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 466141812 + ... + 466142268.

It is an arithmetic number, because the mean of its divisors is an integer number (630171360).

Almost surely, 2213026912280 is an apocalyptic number.

213026912280 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 213026912280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483971604480).

213026912280 is an abundant number, since it is smaller than the sum of its proper divisors (754916296680).

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

213026912280 is a wasteful number, since it uses less digits than its factorization.

213026912280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 213026912280 in words is "two hundred thirteen billion, twenty-six million, nine hundred twelve thousand, two hundred eighty".