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13120002 = 233761569
BaseRepresentation
bin110010000011…
…001000000010
3220200120021000
4302003020002
511324320002
61145112430
7216342510
oct62031002
926616230
1013120002
117451285
124488716
132944a1c
141a574b0
15124261c
hexc83202

13120002 has 64 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 3680640.

The previous prime is 13119983. The next prime is 13120057. The reversal of 13120002 is 20002131.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22774 + ... + 23342.

It is an arithmetic number, because the mean of its divisors is an integer number (530100).

Almost surely, 213120002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

13120002 is an abundant number, since it is smaller than the sum of its proper divisors (20806398).

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

13120002 is a wasteful number, since it uses less digits than its factorization.

13120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

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

The square root of 13120002 is about 3622.1543313338. The cubic root of 13120002 is about 235.8547535833.

Adding to 13120002 its reverse (20002131), we get a palindrome (33122133).

It can be divided in two parts, 131 and 20002, that multiplied together give a palindrome (2620262).

The spelling of 13120002 in words is "thirteen million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 122 126 183 189 366 378 427 549 569 854 1098 1138 1281 1647 1707 2562 3294 3414 3843 3983 5121 7686 7966 10242 11529 11949 15363 23058 23898 30726 34709 35847 69418 71694 104127 107541 208254 215082 242963 312381 485926 624762 728889 937143 1457778 1874286 2186667 4373334 6560001 13120002