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13113322002 = 23211241146849
BaseRepresentation
bin11000011011001110…
…10110101000010010
31020211220000210000200
430031213112220102
5203324002301002
610005120000030
7642650253324
oct141547265022
936756023020
1013113322002
11561a145a00
12265b760016
13130c9cb141
148c5827614
1551b388b1c
hex30d9d6a12

13113322002 has 72 divisors (see below), whose sum is σ = 31991859900. Its totient is φ = 3876787200.

The previous prime is 13113321983. The next prime is 13113322007. The reversal of 13113322002 is 20022331131.

13113322002 is a `hidden beast` number, since 1 + 311 + 332 + 20 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9651294081 + 3462027921 = 98241^2 + 58839^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13113322007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15874 + ... + 162722.

Almost surely, 213113322002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113322002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995929950).

13113322002 is an abundant number, since it is smaller than the sum of its proper divisors (18878537898).

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

13113322002 is a wasteful number, since it uses less digits than its factorization.

13113322002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146920 (or 146906 counting only the distinct ones).

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

Adding to 13113322002 its reverse (20022331131), we get a palindrome (33135653133).

The spelling of 13113322002 in words is "thirteen billion, one hundred thirteen million, three hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 121 123 198 242 246 363 369 451 726 738 902 1089 1353 2178 2706 4059 4961 8118 9922 14883 29766 44649 89298 146849 293698 440547 881094 1321641 1615339 2643282 3230678 4846017 6020809 9692034 12041618 14538051 17768729 18062427 29076102 35537458 36124854 53306187 54187281 66228899 106612374 108374562 132457798 159918561 198686697 319837122 397373394 596060091 728517889 1192120182 1457035778 2185553667 4371107334 6556661001 13113322002