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13002311120 = 245166997381
BaseRepresentation
bin11000001101111111…
…11000010111010000
31020120011010211201112
430012333320113100
5203112042423440
65550112352452
7640131551411
oct140677702720
936504124645
1013002311120
115572513877
12262a545728
1312c2a00926
148b4bab808
1551175b965
hex306ff85d0

13002311120 has 40 divisors (see below), whose sum is σ = 30248796840. Its totient is φ = 5197754880.

The previous prime is 13002311089. The next prime is 13002311131. The reversal of 13002311120 is 2111320031.

It can be written as a sum of positive squares in 4 ways, for example, as 3188635024 + 9813676096 = 56468^2 + 99064^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×130023111202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13002311095 and 13002311104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84830 + ... + 182210.

It is an arithmetic number, because the mean of its divisors is an integer number (756219921).

Almost surely, 213002311120 is an apocalyptic number.

13002311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002311120 is an abundant number, since it is smaller than the sum of its proper divisors (17246485720).

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

13002311120 is a wasteful number, since it uses less digits than its factorization.

13002311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99063 (or 99057 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13002311120 its reverse (2111320031), we get a palindrome (15113631151).

The spelling of 13002311120 in words is "thirteen billion, two million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1669 3338 6676 8345 13352 16690 26704 33380 66760 97381 133520 194762 389524 486905 779048 973810 1558096 1947620 3895240 7790480 162528889 325057778 650115556 812644445 1300231112 1625288890 2600462224 3250577780 6501155560 13002311120