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210341264034 = 231127931311717
BaseRepresentation
bin1100001111100101010…
…0001111101010100010
3202002221001012022212110
43003321110033222202
511421234330422114
6240343543140150
721124311146556
oct3037124175242
9662831168773
10210341264034
1181229183a00
1234922a44656
1316ab1924415
14a2756b9866
155711292759
hex30f950faa2

210341264034 has 96 divisors (see below), whose sum is σ = 469792431360. Its totient is φ = 62726526720.

The previous prime is 210341263997. The next prime is 210341264041. The reversal of 210341264034 is 430462143012.

210341264034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210341263992 and 210341264010.

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 47 ways as a sum of consecutive naturals, for example, 17945944 + ... + 17957660.

It is an arithmetic number, because the mean of its divisors is an integer number (4893671160).

Almost surely, 2210341264034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210341264034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234896215680).

210341264034 is an abundant number, since it is smaller than the sum of its proper divisors (259451167326).

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

210341264034 is a wasteful number, since it uses less digits than its factorization.

210341264034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12136 (or 12125 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 210341264034 in words is "two hundred ten billion, three hundred forty-one million, two hundred sixty-four thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 79 121 158 237 242 313 363 474 626 726 869 939 1738 1878 2607 3443 5214 6886 9559 10329 11717 19118 20658 23434 24727 28677 35151 37873 49454 57354 70302 74181 75746 113619 128887 148362 227238 257774 271997 386661 543994 773322 815991 925643 1417757 1631982 1851286 2776929 2835514 2991967 3667421 4253271 5553858 5983934 7334842 8506542 8975901 10182073 11002263 17951802 20364146 22004526 30546219 40341631 61092438 80683262 112002803 121024893 224005606 242049786 289726259 336008409 443757941 579452518 672016818 869178777 887515882 1331273823 1738357554 2662547646 3186988849 6373977698 9560966547 19121933094 35056877339 70113754678 105170632017 210341264034