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22202311013 = 313349203249
BaseRepresentation
bin10100101011010111…
…000110000101100101
32010022022120021000022
4110223113012011211
5330432242423023
614111040324525
71414123346501
oct245327060545
963268507008
1022202311013
119463697973
124377613745
13212aa3814c
1411089a5301
1589e2927c8
hex52b5c6165

22202311013 has 8 divisors (see below), whose sum is σ = 22337175000. Its totient is φ = 22067854848.

The previous prime is 22202310953. The next prime is 22202311039. The reversal of 22202311013 is 31011320222.

It can be written as a sum of positive squares in 4 ways, for example, as 780475969 + 21421835044 = 27937^2 + 146362^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22202311013 is a prime.

It is a super-3 number, since 3×222023110133 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22202310982 and 22202311000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22202311213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7613 + ... + 210861.

It is an arithmetic number, because the mean of its divisors is an integer number (2792146875).

Almost surely, 222202311013 is an apocalyptic number.

It is an amenable number.

22202311013 is a deficient number, since it is larger than the sum of its proper divisors (134863987).

22202311013 is a wasteful number, since it uses less digits than its factorization.

22202311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203911.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22202311013 its reverse (31011320222), we get a palindrome (53213631235).

The spelling of 22202311013 in words is "twenty-two billion, two hundred two million, three hundred eleven thousand, thirteen".

Divisors: 1 313 349 109237 203249 63616937 70933901 22202311013