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210257012152 = 231123103881923
BaseRepresentation
bin1100001111010001001…
…0110110010110111000
3202002201011122220000101
43003310102312112320
511421101243342102
6240331333245144
721122236054345
oct3036422662670
9662634586011
10210257012152
1181195669250
12348ba7937b4
1316a9a335935
14a2684277cc
155708b9de87
hex30f44b65b8

210257012152 has 32 divisors (see below), whose sum is σ = 448769911680. Its totient is φ = 91416091360.

The previous prime is 210257012149. The next prime is 210257012209. The reversal of 210257012152 is 251210752012.

210257012152 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 2×2102570121522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210257012152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51938938 + ... + 51942985.

It is an arithmetic number, because the mean of its divisors is an integer number (14024059740).

Almost surely, 2210257012152 is an apocalyptic number.

210257012152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210257012152 is an abundant number, since it is smaller than the sum of its proper divisors (238512899528).

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

210257012152 is a wasteful number, since it uses less digits than its factorization.

210257012152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103881963 (or 103881959 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

Adding to 210257012152 its reverse (251210752012), we get a palindrome (461467764164).

The spelling of 210257012152 in words is "two hundred ten billion, two hundred fifty-seven million, twelve thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 103881923 207763846 415527692 831055384 1142701153 2285402306 2389284229 4570804612 4778568458 9141609224 9557136916 19114273832 26282126519 52564253038 105128506076 210257012152