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210313012 = 227132325121
BaseRepresentation
bin11001000100100…
…01111100110100
3112122202000012211
430202101330310
5412320004022
632511423204
75132426320
oct1442217464
9478660184
10210313012
11a8797308
125a524b04
1334758490
141dd08980
15136e4e77
hexc891f34

210313012 has 48 divisors (see below), whose sum is σ = 472695552. Its totient is φ = 79580160.

The previous prime is 210312979. The next prime is 210313013.

210313012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 210312983 and 210313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210313013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4189 + ... + 20932.

It is an arithmetic number, because the mean of its divisors is an integer number (9847824).

Almost surely, 2210313012 is an apocalyptic number.

It is an amenable number.

210313012 is an abundant number, since it is smaller than the sum of its proper divisors (262382540).

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

210313012 is a wasteful number, since it uses less digits than its factorization.

210313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25168 (or 25166 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 210313012 is about 14502.1726648113. The cubic root of 210313012 is about 594.6873691294.

The spelling of 210313012 in words is "two hundred ten million, three hundred thirteen thousand, twelve".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4186 8372 25121 50242 100484 175847 326573 351694 577783 653146 703388 1155566 1306292 2286011 2311132 4044481 4572022 7511179 8088962 9144044 15022358 16177924 30044716 52578253 105156506 210313012