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202213113202331 = 72117922321295537
BaseRepresentation
bin101101111110100101101000…
…110010000000011010011011
3222111222101101112120021220022
4231332211220302000122123
5203001024423434433311
61554023231034021055
760410262311204300
oct5576455062003233
9874871345507808
10202213113202331
1159482110799330
121a81a30a57778b
1388aa7cb7cac2a
1437d1249d8b0a7
15185a0618545db
hexb7e968c8069b

202213113202331 has 48 divisors (see below), whose sum is σ = 261025372016640. Its totient is φ = 154876470577920.

The previous prime is 202213113202291. The next prime is 202213113202337. The reversal of 202213113202331 is 133202311312202.

202213113202331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202213113202331 - 26 = 202213113202267 is a prime.

It is a super-2 number, since 2×2022131132023312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202213113202331.

It is not an unprimeable number, because it can be changed into a prime (202213113202337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1152206 + ... + 20143331.

It is an arithmetic number, because the mean of its divisors is an integer number (5438028583680).

Almost surely, 2202213113202331 is an apocalyptic number.

202213113202331 is a deficient number, since it is larger than the sum of its proper divisors (58812258814309).

202213113202331 is a wasteful number, since it uses less digits than its factorization.

202213113202331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21295864 (or 21295857 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 202213113202331 its reverse (133202311312202), we get a palindrome (335415424514533).

The spelling of 202213113202331 in words is "two hundred two trillion, two hundred thirteen billion, one hundred thirteen million, two hundred two thousand, three hundred thirty-one".

Divisors: 1 7 11 49 77 79 223 539 553 869 1561 2453 3871 6083 10927 17171 17617 42581 120197 123319 193787 863233 1356509 9495563 21295537 149068759 234250907 1043481313 1639756349 1682347423 4748904751 11478294443 11776431961 18505821653 33242333257 52237952261 82435023727 129540751571 232696332799 365665665827 375163475329 906785260997 2559659660789 2626144327303 4126798228619 18383010291121 28887587600333 202213113202331