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213113221002 = 232117115159569
BaseRepresentation
bin1100011001111010001…
…0011010111110001010
3202101002020010022222100
43012132202122332022
511442423441033002
6241523003534230
721253100330013
oct3063642327612
9671066108870
10213113221002
1182420948230
123537722a376
1317133cb3346
14a4598c000a
1558247dd11c
hex319e89af8a

213113221002 has 48 divisors (see below), whose sum is σ = 510816870720. Its totient is φ = 63670185600.

The previous prime is 213113221001. The next prime is 213113221019. The reversal of 213113221002 is 200122311312.

213113221002 is a `hidden beast` number, since 21 + 311 + 322 + 10 + 0 + 2 = 666.

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 (213113221001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7565727 + ... + 7593842.

It is an arithmetic number, because the mean of its divisors is an integer number (10642018140).

Almost surely, 2213113221002 is an apocalyptic number.

213113221002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213113221002 is an abundant number, since it is smaller than the sum of its proper divisors (297703649718).

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

213113221002 is a wasteful number, since it uses less digits than its factorization.

213113221002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15159659 (or 15159656 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213113221002 its reverse (200122311312), we get a palindrome (413235532314).

The spelling of 213113221002 in words is "two hundred thirteen billion, one hundred thirteen million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 2343 4686 7029 14058 15159569 30319138 45478707 90957414 136436121 166755259 272872242 333510518 500265777 1000531554 1076329399 1500797331 2152658798 3001594662 3228988197 6457976394 9686964591 11839623389 19373929182 23679246778 35518870167 71037740334 106556610501 213113221002