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20330441430 = 23513237108377
BaseRepresentation
bin10010111011110010…
…011110101011010110
31221110212022102200020
4102323302132223112
5313114043111210
613201211530010
71316543620665
oct227362365326
957425272606
1020330441430
118693005612
123b34759906
131bbcca3600
14dac140ddc
157dec8e770
hex4bbc9ead6

20330441430 has 96 divisors (see below), whose sum is σ = 54263564064. Its totient is φ = 4869116928.

The previous prime is 20330441377. The next prime is 20330441449. The reversal of 20330441430 is 3414403302.

It is a self number, because there is not a number n which added to its sum of digits gives 20330441430.

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, 133402 + ... + 241778.

It is an arithmetic number, because the mean of its divisors is an integer number (565245459).

Almost surely, 220330441430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20330441430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27131782032).

20330441430 is an abundant number, since it is smaller than the sum of its proper divisors (33933122634).

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

20330441430 is a wasteful number, since it uses less digits than its factorization.

20330441430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108450 (or 108437 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20330441430 its reverse (3414403302), we get a palindrome (23744844732).

The spelling of 20330441430 in words is "twenty billion, three hundred thirty million, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 169 185 195 222 338 370 390 481 507 555 845 962 1014 1110 1443 1690 2405 2535 2886 4810 5070 6253 7215 12506 14430 18759 31265 37518 62530 93795 108377 187590 216754 325131 541885 650262 1083770 1408901 1625655 2817802 3251310 4009949 4226703 7044505 8019898 8453406 12029847 14089010 18315713 20049745 21133515 24059694 36631426 40099490 42267030 52129337 54947139 60149235 91578565 104258674 109894278 120298470 156388011 183157130 260646685 274735695 312776022 521293370 549471390 677681381 781940055 1355362762 1563880110 2033044143 3388406905 4066088286 6776813810 10165220715 20330441430