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13002252030 = 235553100957
BaseRepresentation
bin11000001101111111…
…01001111011111110
31020120011000211200000
430012333221323332
5203112034031110
65550111215130
7640131214215
oct140677517376
936504024600
1013002252030
115572483439
12262a5174a6
1312c29aca71
148b4b9407c
155117491c0
hex306fe9efe

13002252030 has 96 divisors (see below), whose sum is σ = 35719748064. Its totient is φ = 3401813376.

The previous prime is 13002251987. The next prime is 13002252041. The reversal of 13002252030 is 3025220031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13002251994 and 13002252012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78312 + ... + 179268.

It is an arithmetic number, because the mean of its divisors is an integer number (372080709).

Almost surely, 213002252030 is an apocalyptic number.

13002252030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002252030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17859874032).

13002252030 is an abundant number, since it is smaller than the sum of its proper divisors (22717496034).

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

13002252030 is a wasteful number, since it uses less digits than its factorization.

13002252030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101032 (or 101020 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 13002252030 its reverse (3025220031), we get a palindrome (16027472061).

The spelling of 13002252030 in words is "thirteen billion, two million, two hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 243 265 270 318 405 477 486 530 795 810 954 1215 1431 1590 2385 2430 2862 4293 4770 7155 8586 12879 14310 21465 25758 42930 64395 100957 128790 201914 302871 504785 605742 908613 1009570 1514355 1817226 2725839 3028710 4543065 5350721 5451678 8177517 9086130 10701442 13629195 16052163 16355034 24532551 26753605 27258390 32104326 40887585 48156489 49065102 53507210 80260815 81775170 96312978 122662755 144469467 160521630 240782445 245325510 288938934 433408401 481564890 722347335 866816802 1300225203 1444694670 2167042005 2600450406 4334084010 6501126015 13002252030