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23320541430 = 23253171117727
BaseRepresentation
bin10101101110000000…
…110011100011110110
32020012020201020202200
4111232000303203312
5340230024311210
614414024045330
71453622221464
oct255600634366
966166636680
1023320541430
119987923a3a
12462a003846
1322785cc954
1411b32cb834
1591752a0c0
hex56e0338f6

23320541430 has 96 divisors (see below), whose sum is σ = 63471403008. Its totient is φ = 5933390400.

The previous prime is 23320541417. The next prime is 23320541443. The reversal of 23320541430 is 3414502332.

23320541430 is a `hidden beast` number, since 23 + 3 + 205 + 4 + 1 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (23320541417) and next prime (23320541443).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23320541394 and 23320541403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139227 + ... + 256953.

It is an arithmetic number, because the mean of its divisors is an integer number (661160448).

Almost surely, 223320541430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23320541430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31735701504).

23320541430 is an abundant number, since it is smaller than the sum of its proper divisors (40150861578).

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

23320541430 is a wasteful number, since it uses less digits than its factorization.

23320541430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117842 (or 117839 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 23320541430 in words is "twenty-three billion, three hundred twenty million, five hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 71 90 93 142 155 186 213 279 310 355 426 465 558 639 710 930 1065 1278 1395 2130 2201 2790 3195 4402 6390 6603 11005 13206 19809 22010 33015 39618 66030 99045 117727 198090 235454 353181 588635 706362 1059543 1177270 1765905 2119086 3531810 3649537 5297715 7299074 8358617 10595430 10948611 16717234 18247685 21897222 25075851 32845833 36495370 41793085 50151702 54743055 65691666 75227553 83586170 109486110 125379255 150455106 164229165 250758510 259117127 328458330 376137765 518234254 752275530 777351381 1295585635 1554702762 2332054143 2591171270 3886756905 4664108286 7773513810 11660270715 23320541430