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211230073080 = 233551312791307
BaseRepresentation
bin1100010010111001001…
…0110010000011111000
3202012012222122111200000
43010232102302003320
511430044344314310
6241012053313000
721155322665565
oct3045622620370
9665188574600
10211230073080
1181644962334
1234b30635760
1316bc3b00130
14a31b76186c
15576430d4c0
hex312e4b20f8

211230073080 has 384 divisors, whose sum is σ = 767873433600. Its totient is φ = 51914691072.

The previous prime is 211230073069. The next prime is 211230073099. The reversal of 211230073080 is 80370032112.

211230073080 is a `hidden beast` number, since 211 + 2 + 300 + 73 + 0 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161613787 + ... + 161615093.

It is an arithmetic number, because the mean of its divisors is an integer number (1999670400).

Almost surely, 2211230073080 is an apocalyptic number.

211230073080 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 211230073080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383936716800).

211230073080 is an abundant number, since it is smaller than the sum of its proper divisors (556643360520).

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

211230073080 is a wasteful number, since it uses less digits than its factorization.

211230073080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 211230073080 in words is "two hundred eleven billion, two hundred thirty million, seventy-three thousand, eighty".