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13010124200 = 2352401162221
BaseRepresentation
bin11000001110111011…
…01011110110101000
31020120200211210020212
430013131223312220
5203121042433300
65550552040252
7640255142153
oct140735536650
936520753225
1013010124200
11557696a967
122631093088
1312c4507c58
148b5c42c9a
155122a1935
hex30776bda8

13010124200 has 48 divisors (see below), whose sum is σ = 30324158460. Its totient is φ = 5191040000.

The previous prime is 13010124199. The next prime is 13010124203. The reversal of 13010124200 is 242101031.

It can be written as a sum of positive squares in 6 ways, for example, as 10220805604 + 2789318596 = 101098^2 + 52814^2 .

It is not an unprimeable number, because it can be changed into a prime (13010124203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 911 + ... + 161310.

Almost surely, 213010124200 is an apocalyptic number.

13010124200 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 13010124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15162079230).

13010124200 is an abundant number, since it is smaller than the sum of its proper divisors (17314034260).

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

13010124200 is a wasteful number, since it uses less digits than its factorization.

13010124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162638 (or 162629 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13010124200 its reverse (242101031), we get a palindrome (13252225231).

The spelling of 13010124200 in words is "thirteen billion, ten million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 401 802 1604 2005 3208 4010 8020 10025 16040 20050 40100 80200 162221 324442 648884 811105 1297768 1622210 3244420 4055525 6488840 8111050 16222100 32444200 65050621 130101242 260202484 325253105 520404968 650506210 1301012420 1626265525 2602024840 3252531050 6505062100 13010124200