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13120000200 = 23325229376793
BaseRepresentation
bin11000011100000001…
…10101000011001000
31020212100121001210100
430032000311003020
5203332210001300
610005515045400
7643061106306
oct141600650310
936770531710
1013120000200
11562299737a
122661a40860
1313111c8a38
148c6685276
1551bc57700
hex30e0350c8

13120000200 has 288 divisors, whose sum is σ = 46819492200. Its totient is φ = 3286241280.

The previous prime is 13120000111. The next prime is 13120000211. The reversal of 13120000200 is 200002131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 877462884 + 12242537316 = 29622^2 + 110646^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1928004 + ... + 1934796.

Almost surely, 213120000200 is an apocalyptic number.

13120000200 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 13120000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23409746100).

13120000200 is an abundant number, since it is smaller than the sum of its proper divisors (33699492000).

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

13120000200 is a wasteful number, since it uses less digits than its factorization.

13120000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6881 (or 6869 counting only the distinct ones).

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

Adding to 13120000200 its reverse (200002131), we get a palindrome (13320002331).

The spelling of 13120000200 in words is "thirteen billion, one hundred twenty million, two hundred", and thus it is an aban number.