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213013311011121 = 33189191520925867
BaseRepresentation
bin110000011011110000000110…
…101111000011100100110001
31000221012212120220011000100210
4300123300012233003210301
5210410002230104323441
62033012544131134333
762603463264653625
oct6033600657034461
91027185526130323
10213013311011121
116196648a902785
121ba834a6a443a9
1391b20b88a092a
143a85c83813185
151995e7210e616
hexc1bc06bc3931

213013311011121 has 64 divisors (see below), whose sum is σ = 298094719795200. Its totient is φ = 135141200409600.

The previous prime is 213013311011117. The next prime is 213013311011131. The reversal of 213013311011121 is 121110113310312.

It is not a de Polignac number, because 213013311011121 - 22 = 213013311011117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213013311011131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8234931630 + ... + 8234957496.

It is an arithmetic number, because the mean of its divisors is an integer number (4657729996800).

Almost surely, 2213013311011121 is an apocalyptic number.

It is an amenable number.

213013311011121 is a deficient number, since it is larger than the sum of its proper divisors (85081408784079).

213013311011121 is a wasteful number, since it uses less digits than its factorization.

213013311011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31390.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 213013311011121 its reverse (121110113310312), we get a palindrome (334123424321433).

The spelling of 213013311011121 in words is "two hundred thirteen trillion, thirteen billion, three hundred eleven million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 31 89 93 191 267 573 2759 5209 5921 8277 15627 16999 17763 25867 50997 77601 161479 463601 484437 526969 801877 994919 1390803 1580907 2302163 2405631 2984757 4940597 6906489 14371631 14821791 30842489 43114893 71367053 88547791 92527467 134741203 153158507 214101159 265643373 404223609 439713133 459475521 1319139399 2744981521 4176977293 8234944563 11991967067 12530931879 13631107123 25735569773 35975901201 40893321369 77206709319 371750979077 797802662963 1115252937231 2290465709797 2393407988889 6871397129391 71004437003707 213013311011121