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13022030102310 = 23252573891447283
BaseRepresentation
bin1011110101111110110101…
…1110100111111100100110
31201002220010200000200100200
42331133231132213330212
53201323104201233220
643410123230051330
72512545021363045
oct275375536477446
951086120020320
1013022030102310
114170680566719
12156390b649b46
13735c83b19b08
143303abba055c
15178aed75e890
hexbd7ed7a7f26

13022030102310 has 96 divisors (see below), whose sum is σ = 34076417562720. Its totient is φ = 3450135035904.

The previous prime is 13022030102287. The next prime is 13022030102383. The reversal of 13022030102310 is 1320103022031.

13022030102310 is a `hidden beast` number, since 1 + 3 + 0 + 220 + 30 + 102 + 310 = 666.

It is a super-2 number, since 2×130220301023102 (a number of 27 digits) contains 22 as substring.

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, 8273929 + ... + 9721211.

It is an arithmetic number, because the mean of its divisors is an integer number (354962682945).

Almost surely, 213022030102310 is an apocalyptic number.

13022030102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13022030102310 is an abundant number, since it is smaller than the sum of its proper divisors (21054387460410).

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

13022030102310 is a wasteful number, since it uses less digits than its factorization.

13022030102310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447942 (or 1447939 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13022030102310 its reverse (1320103022031), we get a palindrome (14342133124341).

The spelling of 13022030102310 in words is "thirteen trillion, twenty-two billion, thirty million, one hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 389 514 771 778 1167 1285 1542 1945 2313 2334 2570 3501 3855 3890 4626 5835 7002 7710 11565 11670 17505 23130 35010 99973 199946 299919 499865 599838 899757 999730 1447283 1499595 1799514 2894566 2999190 4341849 4498785 7236415 8683698 8997570 13025547 14472830 21709245 26051094 43418490 65127735 130255470 371951731 562993087 743903462 1115855193 1125986174 1688979261 1859758655 2231710386 2814965435 3347565579 3377958522 3719517310 5066937783 5579275965 5629930870 6695131158 8444896305 10133875566 11158551930 16737827895 16889792610 25334688915 33475655790 50669377830 144689223359 289378446718 434067670077 723446116795 868135340154 1302203010231 1446892233590 2170338350385 2604406020462 4340676700770 6511015051155 13022030102310