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13142560200 = 2335271132351
BaseRepresentation
bin11000011110101101…
…11000110111001000
31020220221001020021220
430033112320313020
5203403443411300
610012042402040
7643453630020
oct141726706710
936827036256
1013142560200
1156346a6000
122669500320
131315a97453
148c9678a80
1551dc11da0
hex30f5b8dc8

13142560200 has 384 divisors, whose sum is σ = 51236720640. Its totient is φ = 2729760000.

The previous prime is 13142560153. The next prime is 13142560201. The reversal of 13142560200 is 206524131.

It is a super-2 number, since 2×131425602002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142560201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5589025 + ... + 5591375.

It is an arithmetic number, because the mean of its divisors is an integer number (133428960).

Almost surely, 213142560200 is an apocalyptic number.

13142560200 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 13142560200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25618360320).

13142560200 is an abundant number, since it is smaller than the sum of its proper divisors (38094160440).

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

13142560200 is a wasteful number, since it uses less digits than its factorization.

13142560200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 13142560200 in words is "thirteen billion, one hundred forty-two million, five hundred sixty thousand, two hundred".