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22320103301 = 171923636973
BaseRepresentation
bin10100110010011000…
…011011111110000101
32010121112012201122122
4110302120123332011
5331202421301201
614130445135325
71420053514316
oct246230337605
963545181578
1022320103301
119514130a71
1243aab5a545
13214926b222
14111a4a860d
158a97ade1b
hex53261bf85

22320103301 has 12 divisors (see below), whose sum is σ = 24942367692. Its totient is φ = 19901510784.

The previous prime is 22320103249. The next prime is 22320103343. The reversal of 22320103301 is 10330102322.

It can be written as a sum of positive squares in 2 ways, for example, as 20906268100 + 1413835201 = 144590^2 + 37601^2 .

It is a de Polignac number, because none of the positive numbers 2k-22320103301 is a prime.

It is a super-3 number, since 3×223201033013 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22320103301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320100301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1812350 + ... + 1824623.

It is an arithmetic number, because the mean of its divisors is an integer number (2078530641).

Almost surely, 222320103301 is an apocalyptic number.

It is an amenable number.

22320103301 is a deficient number, since it is larger than the sum of its proper divisors (2622264391).

22320103301 is a wasteful number, since it uses less digits than its factorization.

22320103301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637028 (or 3637009 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 22320103301 its reverse (10330102322), we get a palindrome (32650205623).

The spelling of 22320103301 in words is "twenty-two billion, three hundred twenty million, one hundred three thousand, three hundred one".

Divisors: 1 17 19 323 361 6137 3636973 61828541 69102487 1174742279 1312947253 22320103301