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210100210012 = 227211229305483
BaseRepresentation
bin1100001110101011110…
…0101100100101011100
3202002022020121111220201
43003222330230211130
511420241123210022
6240304012353244
721115323214300
oct3035274544534
9662266544821
10210100210012
1181115100500
1234876175824
1316a739c48c4
14a25168bd00
1556ea029127
hex30eaf2c95c

210100210012 has 108 divisors (see below), whose sum is σ = 486333582840. Its totient is φ = 79034303040.

The previous prime is 210100209967. The next prime is 210100210051. The reversal of 210100210012 is 210012001012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535023 + ... + 840505.

It is an arithmetic number, because the mean of its divisors is an integer number (4503088730).

Almost surely, 2210100210012 is an apocalyptic number.

210100210012 is a gapful number since it is divisible by the number (22) 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 210100210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243166791420).

210100210012 is an abundant number, since it is smaller than the sum of its proper divisors (276233372828).

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

210100210012 is a wasteful number, since it uses less digits than its factorization.

210100210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305552 (or 305532 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210100210012 its reverse (210012001012), we get a palindrome (420112211024).

The spelling of 210100210012 in words is "two hundred ten billion, one hundred million, two hundred ten thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 98 116 121 154 196 203 242 308 319 406 484 539 638 812 847 1078 1276 1421 1694 2156 2233 2842 3388 3509 4466 5684 5929 7018 8932 11858 14036 15631 23716 24563 31262 49126 62524 98252 171941 305483 343882 610966 687764 1221932 2138381 3360313 4276762 6720626 8553524 8859007 13441252 14968667 17718014 23522191 29937334 35436028 36963443 47044382 59874668 62013049 73926886 94088764 97449077 124026098 147853772 164655337 194898154 248052196 258744101 329310674 389796308 434091343 517488202 658621348 682143539 868182686 1034976404 1071939847 1364287078 1736365372 1811208707 2143879694 2728574156 3622417414 4287759388 4775004773 7244834828 7503578929 9550009546 15007157858 19100019092 30014315716 52525052503 105050105006 210100210012