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20352310102344 = 23311233467966781
BaseRepresentation
bin1001010000010101001000…
…01101101100100101001000
32200001122212111002001200210
410220022210031230211020
510131423012341233334
6111141415554201120
74200256134335253
oct450124415544510
980048774061623
1020352310102344
116537403518480
1223484b75831a0
13b482a365380c
145050b282c09a
15254624b045e9
hex1282a436c948

20352310102344 has 128 divisors (see below), whose sum is σ = 57936383585280. Its totient is φ = 5897512684800.

The previous prime is 20352310102297. The next prime is 20352310102361. The reversal of 20352310102344 is 44320101325302.

It is an unprimeable number.

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, 20568234 + ... + 21535014.

It is an arithmetic number, because the mean of its divisors is an integer number (452627996760).

Almost surely, 220352310102344 is an apocalyptic number.

20352310102344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20352310102344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28968191792640).

20352310102344 is an abundant number, since it is smaller than the sum of its proper divisors (37584073482936).

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

20352310102344 is a wasteful number, since it uses less digits than its factorization.

20352310102344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970291 (or 970287 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 20352310102344 its reverse (44320101325302), we get a palindrome (64672411427646).

The spelling of 20352310102344 in words is "twenty trillion, three hundred fifty-two billion, three hundred ten million, one hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 2024 3036 3467 6072 6934 10401 13868 20802 27736 38137 41604 76274 79741 83208 114411 152548 159482 228822 239223 305096 318964 457644 478446 637928 877151 915288 956892 966781 1754302 1913784 1933562 2631453 2900343 3508604 3867124 5262906 5800686 7017208 7734248 10525812 10634591 11601372 21051624 21269182 22235963 23202744 31903773 42538364 44471926 63807546 66707889 85076728 88943852 127615092 133415778 177887704 244595593 255230184 266831556 489191186 533663112 733786779 978382372 1467573558 1956764744 2935147116 3351829727 5870294232 6703659454 10055489181 13407318908 20110978362 26814637816 36870126997 40221956724 73740253994 77092083721 80443913448 110610380991 147480507988 154184167442 221220761982 231276251163 294961015976 308368334884 442441523964 462552502326 616736669768 848012920931 884883047928 925105004652 1696025841862 1850210009304 2544038762793 3392051683724 5088077525586 6784103367448 10176155051172 20352310102344