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103024333323340 = 225111369975148277
BaseRepresentation
bin10111011011001100111000…
…110010100111110001001100
3111111210000210221000201002121
4113123030320302213301030
5102000422313312321330
61003040420401502324
730462156010216102
oct2733147062476114
9444700727021077
10103024333323340
112a91041335a930
12b67a9809419a4
1345641cb039810
141b6259370dc72
15bd9d753e717a
hex5db338ca7c4c

103024333323340 has 96 divisors (see below), whose sum is σ = 254211094476864. Its totient is φ = 34576645340160.

The previous prime is 103024333323251. The next prime is 103024333323343. The reversal of 103024333323340 is 43323333420301.

It is a super-2 number, since 2×1030243333233402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103024333323296 and 103024333323305.

It is not an unprimeable number, because it can be changed into a prime (103024333323343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17437282 + ... + 22585558.

It is an arithmetic number, because the mean of its divisors is an integer number (2648032234134).

Almost surely, 2103024333323340 is an apocalyptic number.

103024333323340 is a gapful number since it is divisible by the number (10) 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 103024333323340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127105547238432).

103024333323340 is an abundant number, since it is smaller than the sum of its proper divisors (151186761153524).

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

103024333323340 is a wasteful number, since it uses less digits than its factorization.

103024333323340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5155307 (or 5155305 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 34.

Adding to 103024333323340 its reverse (43323333420301), we get a palindrome (146347666743641).

The spelling of 103024333323340 in words is "one hundred three trillion, twenty-four billion, three hundred thirty-three million, three hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 6997 13994 27988 34985 69970 76967 90961 139940 153934 181922 307868 363844 384835 454805 769670 909610 1000571 1539340 1819220 2001142 4002284 5002855 5148277 10005710 10296554 20011420 20593108 25741385 51482770 56631047 66927601 102965540 113262094 133855202 226524188 267710404 283155235 334638005 566310470 669276010 736203611 1132620940 1338552020 1472407222 2944814444 3681018055 7362036110 14724072220 36022494169 72044988338 144089976676 180112470845 360224941690 396247435859 468292424197 720449883380 792494871718 936584848394 1584989743436 1873169696788 1981237179295 2341462120985 3962474358590 4682924241970 5151216666167 7924948717180 9365848483940 10302433332334 20604866664668 25756083330835 51512166661670 103024333323340