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1130351513200 = 245271389348917
BaseRepresentation
bin10000011100101110001…
…100110100111001110000
311000001122010210101120021
4100130232030310321300
5122004424441410300
62223135403453224
7144444110222140
oct20345614647160
94001563711507
101130351513200
113a6419a630a8
121630a0527214
138278cc36240
143c9d0494920
151e60a3b1d1a
hex1072e334e70

1130351513200 has 240 divisors, whose sum is σ = 3379926795840. Its totient is φ = 353717084160.

The previous prime is 1130351513183. The next prime is 1130351513201. The reversal of 1130351513200 is 23151530311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130351513201) 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 47 ways as a sum of consecutive naturals, for example, 3065142 + ... + 3414058.

It is an arithmetic number, because the mean of its divisors is an integer number (14083028316).

Almost surely, 21130351513200 is an apocalyptic number.

1130351513200 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 1130351513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689963397920).

1130351513200 is an abundant number, since it is smaller than the sum of its proper divisors (2249575282640).

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

1130351513200 is a wasteful number, since it uses less digits than its factorization.

1130351513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349044 (or 349033 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

The spelling of 1130351513200 in words is "one trillion, one hundred thirty billion, three hundred fifty-one million, five hundred thirteen thousand, two hundred".