Search a number
-
+
20122321230 = 232511106119157
BaseRepresentation
bin10010101111011000…
…100100000101001110
31220221100200211102200
4102233120210011032
5312202303234410
613124415102330
71311435623364
oct225730440516
956840624380
1020122321230
118596586850
123a96b119a6
131b88b3526b
14d8c647634
157cb87e3c0
hex4af62414e

20122321230 has 96 divisors (see below), whose sum is σ = 57130995168. Its totient is φ = 4873286400.

The previous prime is 20122321229. The next prime is 20122321273. The reversal of 20122321230 is 3212322102.

20122321230 is a `hidden beast` number, since 201 + 2 + 232 + 1 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1040812 + ... + 1059968.

It is an arithmetic number, because the mean of its divisors is an integer number (595114533).

Almost surely, 220122321230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122321230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28565497584).

20122321230 is an abundant number, since it is smaller than the sum of its proper divisors (37008673938).

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

20122321230 is a wasteful number, since it uses less digits than its factorization.

20122321230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20242 (or 20239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20122321230 its reverse (3212322102), we get a palindrome (23334643332).

The spelling of 20122321230 in words is "twenty billion, one hundred twenty-two million, three hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1061 2122 3183 5305 6366 9549 10610 11671 15915 19098 19157 23342 31830 35013 38314 47745 57471 58355 70026 95490 95785 105039 114942 116710 172413 175065 191570 210078 210727 287355 344826 350130 421454 525195 574710 632181 862065 1050390 1053635 1264362 1724130 1896543 2107270 3160905 3793086 6321810 9482715 18965430 20325577 40651154 60976731 101627885 121953462 182930193 203255770 223581347 304883655 365860386 447162694 609767310 670744041 914650965 1117906735 1341488082 1829301930 2012232123 2235813470 3353720205 4024464246 6707440410 10061160615 20122321230