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211210100028 = 223223325180031
BaseRepresentation
bin1100010010110100011…
…0100101110100111100
3202012011121001202210100
43010231012211310330
511430024241200103
6241010101241100
721154661141244
oct3045506456474
9665147052710
10211210100028
1181634660284
1234b25a03190
1316bbc929065
14a318c42b24
1557626b55a3
hex312d1a5d3c

211210100028 has 36 divisors (see below), whose sum is σ = 536183601408. Its totient is φ = 70101203520.

The previous prime is 211210099979. The next prime is 211210100029. The reversal of 211210100028 is 820001012112.

211210100028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210100029) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12581628 + ... + 12598403.

It is an arithmetic number, because the mean of its divisors is an integer number (14893988928).

Almost surely, 2211210100028 is an apocalyptic number.

It is an amenable number.

211210100028 is an abundant number, since it is smaller than the sum of its proper divisors (324973501380).

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

211210100028 is a wasteful number, since it uses less digits than its factorization.

211210100028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25180274 (or 25180269 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 211210100028 in words is "two hundred eleven billion, two hundred ten million, one hundred thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 25180031 50360062 75540093 100720124 151080186 226620279 302160372 453240558 906481116 5866947223 11733894446 17600841669 23467788892 35201683338 52802525007 70403366676 105605050014 211210100028