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213001303122 = 23259320119923
BaseRepresentation
bin1100011001011111011…
…1011111010001010010
3202100210102112022111200
43012113313133101102
511442211313144442
6241503525052030
721250241126556
oct3062767372122
9670712468450
10213001303122
1182373756713
1235345857016
1317116a5904a
14a448aa9866
155819a8234c
hex3197ddf452

213001303122 has 48 divisors (see below), whose sum is σ = 462557560608. Its totient is φ = 70838317440.

The previous prime is 213001303079. The next prime is 213001303127. The reversal of 213001303122 is 221303100312.

213001303122 is a `hidden beast` number, since 21 + 300 + 1 + 30 + 312 + 2 = 666.

213001303122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2130013031223 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213001303095 and 213001303104.

It is not an unprimeable number, because it can be changed into a prime (213001303127) 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, 21460453 + ... + 21470375.

It is an arithmetic number, because the mean of its divisors is an integer number (9636615846).

Almost surely, 2213001303122 is an apocalyptic number.

213001303122 is an abundant number, since it is smaller than the sum of its proper divisors (249556257486).

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

213001303122 is a wasteful number, since it uses less digits than its factorization.

213001303122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12535 (or 12532 counting only the distinct ones).

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

Adding to 213001303122 its reverse (221303100312), we get a palindrome (434304403434).

The spelling of 213001303122 in words is "two hundred thirteen billion, one million, three hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 593 1186 1779 2011 3558 4022 5337 6033 9923 10674 12066 18099 19846 29769 36198 59538 89307 178614 1192523 2385046 3577569 5884339 7155138 10732707 11768678 17653017 19955153 21465414 35306034 39910306 52959051 59865459 105918102 119730918 179596377 359192754 11833405729 23666811458 35500217187 71000434374 106500651561 213001303122