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13102002 = 2321747911
BaseRepresentation
bin110001111110…
…101110110010
3220122122120100
4301332232302
511323231002
61144453230
7216236154
oct61765662
926578510
1013102002
117439801
12447a216
132939784
141a50ad4
15123c11c
hexc7ebb2

13102002 has 48 divisors (see below), whose sum is σ = 30730752. Its totient is φ = 4018560.

The previous prime is 13101983. The next prime is 13102003. The reversal of 13102002 is 20020131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (13102003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13927 + ... + 14837.

It is an arithmetic number, because the mean of its divisors is an integer number (640224).

Almost surely, 213102002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365376).

13102002 is an abundant number, since it is smaller than the sum of its proper divisors (17628750).

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

13102002 is a wasteful number, since it uses less digits than its factorization.

13102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13102002 is about 3619.6687693766. The cubic root of 13102002 is about 235.7468438301.

Adding to 13102002 its reverse (20020131), we get a palindrome (33122133).

The spelling of 13102002 in words is "thirteen million, one hundred two thousand, two".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 282 306 423 799 846 911 1598 1822 2397 2733 4794 5466 7191 8199 14382 15487 16398 30974 42817 46461 85634 92922 128451 139383 256902 278766 385353 727889 770706 1455778 2183667 4367334 6551001 13102002