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1112340340320 = 2535111515092741
BaseRepresentation
bin10000001011111100101…
…001101001111001100000
310221100010220121000020020
4100023330221221321200
5121211033111342240
62211000241513440
7143235554614056
oct20137451517140
93840126530206
101112340340320
1139981713a360
1215b6b4642880
1380b7c5c32b1
143bba239a1d6
151de0404d0d0
hex102fca69e60

1112340340320 has 384 divisors, whose sum is σ = 3856685736960. Its totient is φ = 267248640000.

The previous prime is 1112340340273. The next prime is 1112340340327. The reversal of 1112340340320 is 230430432111.

It is a happy number.

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 (1112340340327) 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 63 ways as a sum of consecutive naturals, for example, 405814150 + ... + 405816890.

It is an arithmetic number, because the mean of its divisors is an integer number (10043452440).

Almost surely, 21112340340320 is an apocalyptic number.

1112340340320 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 1112340340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928342868480).

1112340340320 is an abundant number, since it is smaller than the sum of its proper divisors (2744345396640).

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

1112340340320 is a wasteful number, since it uses less digits than its factorization.

1112340340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1112340340320 its reverse (230430432111), we get a palindrome (1342770772431).

It can be divided in two parts, 1112340 and 340320, that added together give a triangular number (1452660 = T1704).

The spelling of 1112340340320 in words is "one trillion, one hundred twelve billion, three hundred forty million, three hundred forty thousand, three hundred twenty".