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13002122120 = 23513107233683
BaseRepresentation
bin11000001101111110…
…01010001110001000
31020120010210020110112
430012333022032020
5203112020401440
65550104333452
7640130133401
oct140677121610
936503706415
1013002122120
1155723a4879
12262a474288
1312c29658b0
148b4b5c9a8
15511720965
hex306fca388

13002122120 has 64 divisors (see below), whose sum is σ = 31799718720. Its totient is φ = 4755896064.

The previous prime is 13002122099. The next prime is 13002122129. The reversal of 13002122120 is 2122120031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13002122095 and 13002122104.

It is not an unprimeable number, because it can be changed into a prime (13002122129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61202 + ... + 172481.

It is an arithmetic number, because the mean of its divisors is an integer number (496870605).

Almost surely, 213002122120 is an apocalyptic number.

13002122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002122120 is an abundant number, since it is smaller than the sum of its proper divisors (18797596600).

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

13002122120 is a wasteful number, since it uses less digits than its factorization.

13002122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233814 (or 233810 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13002122120 its reverse (2122120031), we get a palindrome (15124242151).

The spelling of 13002122120 in words is "thirteen billion, two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 107 130 214 260 428 520 535 856 1070 1391 2140 2782 4280 5564 6955 11128 13910 27820 55640 233683 467366 934732 1168415 1869464 2336830 3037879 4673660 6075758 9347320 12151516 15189395 24303032 25004081 30378790 50008162 60757580 100016324 121515160 125020405 200032648 250040810 325053053 500081620 650106106 1000163240 1300212212 1625265265 2600424424 3250530530 6501061060 13002122120