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13121004 = 22313241349
BaseRepresentation
bin110010000011…
…010111101100
3220200121122010
4302003113230
511324333004
61145121220
7216345441
oct62032754
926617563
1013121004
117452006
124489210
132945310
141a579c8
151242a89
hexc835ec

13121004 has 48 divisors (see below), whose sum is σ = 33202400. Its totient is φ = 4008960.

The previous prime is 13120999. The next prime is 13121033. The reversal of 13121004 is 40012131.

It is a happy number.

13121004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37422 + ... + 37770.

Almost surely, 213121004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601200).

13121004 is an abundant number, since it is smaller than the sum of its proper divisors (20081396).

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

13121004 is a wasteful number, since it uses less digits than its factorization.

13121004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13121004 is about 3622.2926441689. The cubic root of 13121004 is about 235.8607576588.

Adding to 13121004 its reverse (40012131), we get a palindrome (53133135).

The spelling of 13121004 in words is "thirteen million, one hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 241 349 482 698 723 964 1047 1396 1446 2094 2892 3133 4188 4537 6266 9074 9399 12532 13611 18148 18798 27222 37596 54444 84109 168218 252327 336436 504654 1009308 1093417 2186834 3280251 4373668 6560502 13121004