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22300302102 = 23137111093631
BaseRepresentation
bin10100110001001100…
…111001101100010110
32010120010221201111220
4110301030321230112
5331132334131402
614124500511210
71416423304011
oct246114715426
963503851456
1022300302102
119503a37041
1243a43ab506
132145127440
1411179d2378
158a7b9bdbc
hex531339b16

22300302102 has 64 divisors (see below), whose sum is σ = 48765265920. Its totient is φ = 6757027200.

The previous prime is 22300302097. The next prime is 22300302107. The reversal of 22300302102 is 20120300322.

It is an interprime number because it is at equal distance from previous prime (22300302097) and next prime (22300302107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300302107) 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 31 ways as a sum of consecutive naturals, for example, 6139827 + ... + 6143457.

It is an arithmetic number, because the mean of its divisors is an integer number (761957280).

Almost surely, 222300302102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22300302102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24382632960).

22300302102 is an abundant number, since it is smaller than the sum of its proper divisors (26464963818).

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

22300302102 is a wasteful number, since it uses less digits than its factorization.

22300302102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22300302102 its reverse (20120300322), we get a palindrome (42420602424).

The spelling of 22300302102 in words is "twenty-two billion, three hundred million, three hundred two thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 426 923 1109 1846 2218 2769 3327 3631 5538 6654 7262 10893 14417 21786 28834 43251 47203 78739 86502 94406 141609 157478 236217 257801 283218 472434 515602 773403 1023607 1546806 2047214 3070821 3351413 4026779 6141642 6702826 8053558 10054239 12080337 20108478 24160674 52348127 104696254 157044381 285901309 314088762 571802618 857703927 1715407854 3716717017 7433434034 11150151051 22300302102