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213013020213 = 3571992392633
BaseRepresentation
bin1100011001100010010…
…0001011111000110101
3202100211020120121100000
43012120210023320311
511442222313121323
6241505024141513
721250442540310
oct3063044137065
9670736517300
10213013020213
118237a329964
1235349767899
13171192cc336
14a44a479977
15581aae8e43
hex319890be35

213013020213 has 96 divisors (see below), whose sum is σ = 368169984000. Its totient is φ = 120557517696.

The previous prime is 213013020167. The next prime is 213013020239. The reversal of 213013020213 is 312020310312.

It is not a de Polignac number, because 213013020213 - 28 = 213013019957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013020263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80899945 + ... + 80902577.

It is an arithmetic number, because the mean of its divisors is an integer number (3835104000).

Almost surely, 2213013020213 is an apocalyptic number.

It is an amenable number.

213013020213 is a deficient number, since it is larger than the sum of its proper divisors (155156963787).

213013020213 is a wasteful number, since it uses less digits than its factorization.

213013020213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3081 counting only the distinct ones).

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

Adding to 213013020213 its reverse (312020310312), we get a palindrome (525033330525).

The spelling of 213013020213 in words is "two hundred thirteen billion, thirteen million, twenty thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 81 189 199 239 243 567 597 717 1393 1673 1701 1791 2151 2633 4179 5019 5373 6453 7899 12537 15057 16119 18431 19359 23697 37611 45171 47561 48357 55293 58077 71091 112833 135513 142683 165879 213273 332927 338499 406539 428049 497637 523967 629287 639819 998781 1284147 1492911 1571901 1887861 2996343 3667769 3852441 4405009 4478733 4715703 5663583 8989029 11003307 11557323 13215027 14147109 16990749 26967087 33009921 39645081 42441327 50972247 80901261 99029763 118935243 125228113 127323981 152916741 297089289 356805729 375684339 876596791 891267867 1070417187 1127053017 2629790373 3381159051 7889371119 10143477153 23668113357 30430431459 71004340071 213013020213