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213302233311102 = 23313317958515253
BaseRepresentation
bin110000011111111101001011…
…110110001010011101111110
31000222020111100101102120111000
4300133331023312022131332
5210424220433211423402
62033353405422511130
762633402120666625
oct6037751366123576
91028214311376430
10213302233311102
1161a67a72a20aa1
121bb0b49a4354a6
13920341166b650
143a95c5161a6bc
15199d731ed1c1c
hexc1ff4bd8a77e

213302233311102 has 64 divisors (see below), whose sum is σ = 512077189296960. Its totient is φ = 65424417040512.

The previous prime is 213302233311091. The next prime is 213302233311143. The reversal of 213302233311102 is 201113332203312.

213302233311102 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 0 + 223 + 331 + 1 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479035093 + ... + 479480160.

It is an arithmetic number, because the mean of its divisors is an integer number (8001206082765).

Almost surely, 2213302233311102 is an apocalyptic number.

213302233311102 is an abundant number, since it is smaller than the sum of its proper divisors (298774955985858).

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

213302233311102 is a wasteful number, since it uses less digits than its factorization.

213302233311102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958515594 (or 958515588 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 213302233311102 its reverse (201113332203312), we get a palindrome (414415565514414).

The spelling of 213302233311102 in words is "two hundred thirteen trillion, three hundred two billion, two hundred thirty-three million, three hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 317 351 634 702 951 1902 2853 4121 5706 8242 8559 12363 17118 24726 37089 74178 111267 222534 958515253 1917030506 2875545759 5751091518 8626637277 12460698289 17253274554 24921396578 25879911831 37382094867 51759823662 74764189734 112146284601 224292569202 303849335201 336438853803 607698670402 672877707606 911548005603 1823096011206 2734644016809 3950041357613 5469288033618 7900082715226 8203932050427 11850124072839 16407864100854 23700248145678 35550372218517 71100744437034 106651116655551 213302233311102