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12530100 = 22352113797
BaseRepresentation
bin101111110011…
…000110110100
3212120121001210
4233303012310
511201430400
61124321420
7211334622
oct57630664
925517053
1012530100
117089060
124243270
13279937b
141942512
151177950
hexbf31b4

12530100 has 72 divisors (see below), whose sum is σ = 39559968. Its totient is φ = 3036800.

The previous prime is 12530099. The next prime is 12530123. The reversal of 12530100 is 103521.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1402 + ... + 5198.

It is an arithmetic number, because the mean of its divisors is an integer number (549444).

Almost surely, 212530100 is an apocalyptic number.

12530100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12530100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779984).

12530100 is an abundant number, since it is smaller than the sum of its proper divisors (27029868).

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

12530100 is a wasteful number, since it uses less digits than its factorization.

12530100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 12530100 is about 3539.7881292529. The cubic root of 12530100 is about 232.2655747895.

Adding to 12530100 its reverse (103521), we get a palindrome (12633621).

The spelling of 12530100 in words is "twelve million, five hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3797 7594 11391 15188 18985 22782 37970 41767 45564 56955 75940 83534 94925 113910 125301 167068 189850 208835 227820 250602 284775 379700 417670 501204 569550 626505 835340 1044175 1139100 1253010 2088350 2506020 3132525 4176700 6265050 12530100