Search a number
-
+
13012302100 = 22527107173729
BaseRepresentation
bin11000001111001011…
…11111100100010100
31020120211221102202211
430013211333210110
5203122122131400
65551110443204
7640312512550
oct140745774424
936524842684
1013012302100
115578118186
122631963504
1312c4abb355
148b624c860
15512581dba
hex30797f914

13012302100 has 72 divisors (see below), whose sum is σ = 32572290240. Its totient is φ = 4419640320.

The previous prime is 13012302089. The next prime is 13012302103. The reversal of 13012302100 is 120321031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012302103) 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, 11965 + ... + 161764.

It is an arithmetic number, because the mean of its divisors is an integer number (452392920).

Almost surely, 213012302100 is an apocalyptic number.

13012302100 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 13012302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286145120).

13012302100 is an abundant number, since it is smaller than the sum of its proper divisors (19559988140).

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

13012302100 is a wasteful number, since it uses less digits than its factorization.

13012302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173857 (or 173850 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13012302100 its reverse (120321031), we get a palindrome (13132623131).

The spelling of 13012302100 in words is "thirteen billion, twelve million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 428 535 700 749 1070 1498 2140 2675 2996 3745 5350 7490 10700 14980 18725 37450 74900 173729 347458 694916 868645 1216103 1737290 2432206 3474580 4343225 4864412 6080515 8686450 12161030 17372900 18589003 24322060 30402575 37178006 60805150 74356012 92945015 121610300 130123021 185890030 260246042 371780060 464725075 520492084 650615105 929450150 1301230210 1858900300 2602460420 3253075525 6506151050 13012302100