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213012332010 = 2335817196553
BaseRepresentation
bin1100011001100010000…
…1100011110111101010
3202100211012021122022000
43012120201203313222
511442222124111020
6241505001311430
721250433643012
oct3063041436752
9670735248260
10213012332010
11823799a98a5
1235349495576
131711911b00a
14a44a33ac42
15581aa10090
hex3198863dea

213012332010 has 64 divisors (see below), whose sum is σ = 568108287360. Its totient is φ = 56795748480.

The previous prime is 213012331993. The next prime is 213012332017. The reversal of 213012332010 is 10233210312.

213012332010 is a `hidden beast` number, since 21 + 301 + 2 + 332 + 0 + 10 = 666.

213012332010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (213012332017) 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 31 ways as a sum of consecutive naturals, for example, 2157894 + ... + 2254446.

It is an arithmetic number, because the mean of its divisors is an integer number (8876691990).

Almost surely, 2213012332010 is an apocalyptic number.

213012332010 is an abundant number, since it is smaller than the sum of its proper divisors (355095955350).

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

213012332010 is a wasteful number, since it uses less digits than its factorization.

213012332010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104740 (or 104734 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213012332010 its reverse (10233210312), we get a palindrome (223245542322).

The spelling of 213012332010 in words is "two hundred thirteen billion, twelve million, three hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 8171 16342 24513 40855 49026 73539 81710 96553 122565 147078 193106 220617 245130 289659 367695 441234 482765 579318 735390 868977 965530 1103085 1448295 1737954 2206170 2606931 2896590 4344885 5213862 8689770 13034655 26069310 788934563 1577869126 2366803689 3944672815 4733607378 7100411067 7889345630 11834018445 14200822134 21301233201 23668036890 35502055335 42602466402 71004110670 106506166005 213012332010