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213013310202 = 232711153689257
BaseRepresentation
bin1100011001100010010…
…1010010101011111010
3202100211021010100010100
43012120211102223322
511442222401411302
6241505034300230
721250445155620
oct3063045225372
9670737110110
10213013310202
118237a507820
1235349887676
13171193a1324
14a44a513510
15581ab54d1c
hex3198952afa

213013310202 has 48 divisors (see below), whose sum is σ = 575412581952. Its totient is φ = 55328132160.

The previous prime is 213013310171. The next prime is 213013310221. The reversal of 213013310202 is 202013310312.

213013310202 is a `hidden beast` number, since 2 + 130 + 1 + 331 + 0 + 202 = 666.

213013310202 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 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 23 ways as a sum of consecutive naturals, for example, 76843243 + ... + 76846014.

It is an arithmetic number, because the mean of its divisors is an integer number (11987762124).

Almost surely, 2213013310202 is an apocalyptic number.

213013310202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213013310202 is an abundant number, since it is smaller than the sum of its proper divisors (362399271750).

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

213013310202 is a wasteful number, since it uses less digits than its factorization.

213013310202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153689283 (or 153689280 counting only the distinct ones).

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

Adding to 213013310202 its reverse (202013310312), we get a palindrome (415026620514).

The spelling of 213013310202 in words is "two hundred thirteen billion, thirteen million, three hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 153689257 307378514 461067771 922135542 1075824799 1383203313 1690581827 2151649598 2766406626 3227474397 3381163654 5071745481 6454948794 9682423191 10143490962 11834072789 15215236443 19364846382 23668145578 30430472886 35502218367 71004436734 106506655101 213013310202