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213120302202 = 23429101449149
BaseRepresentation
bin1100011001111011110…
…1011011110001111010
3202101002201110002120000
43012132331123301322
511442432244132302
6241523415413430
721253214451633
oct3063675336172
9671081402500
10213120302202
1182424944465
1235379684276
13171355c24c2
14a45a80488a
15582523b31c
hex319ef5bc7a

213120302202 has 80 divisors (see below), whose sum is σ = 498906837000. Its totient is φ = 67911177600.

The previous prime is 213120302189. The next prime is 213120302261. The reversal of 213120302202 is 202203021312.

It can be written as a sum of positive squares in 4 ways, for example, as 212925950721 + 194351481 = 461439^2 + 13941^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 249924 + ... + 699072.

Almost surely, 2213120302202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213120302202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249453418500).

213120302202 is an abundant number, since it is smaller than the sum of its proper divisors (285786534798).

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

213120302202 is a wasteful number, since it uses less digits than its factorization.

213120302202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449293 (or 449284 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213120302202 its reverse (202203021312), we get a palindrome (415323323514).

The spelling of 213120302202 in words is "two hundred thirteen billion, one hundred twenty million, three hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 101 162 174 202 261 303 522 606 783 909 1566 1818 2349 2727 2929 4698 5454 5858 8181 8787 16362 17574 26361 52722 79083 158166 237249 449149 474498 898298 1347447 2694894 4042341 8084682 12127023 13025321 24254046 26050642 36381069 39075963 45364049 72762138 78151926 90728098 117227889 136092147 234455778 272184294 351683667 408276441 703367334 816552882 1055051001 1224829323 1315557421 2110102002 2449658646 2631114842 3674487969 3946672263 7348975938 7893344526 11840016789 23680033578 35520050367 71040100734 106560151101 213120302202