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1130014231220 = 2257591131378837
BaseRepresentation
bin10000011100011010000…
…110001100101010110100
311000000202122010200200002
4100130122012030222310
5122003232120344340
62223042114410432
7144432543324560
oct20343206145264
94000678120602
101130014231220
113a6266635166
12163007590a18
13827380b3ac4
143c99b7786a0
151e5da98b715
hex1071a18cab4

1130014231220 has 192 divisors, whose sum is σ = 2803034626560. Its totient is φ = 374698426368.

The previous prime is 1130014231207. The next prime is 1130014231223. The reversal of 1130014231220 is 221324100311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1130014231192 and 1130014231201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130014231223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127868642 + ... + 127877478.

It is an arithmetic number, because the mean of its divisors is an integer number (14599138680).

Almost surely, 21130014231220 is an apocalyptic number.

1130014231220 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 1130014231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401517313280).

1130014231220 is an abundant number, since it is smaller than the sum of its proper divisors (1673020395340).

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

1130014231220 is a wasteful number, since it uses less digits than its factorization.

1130014231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1130014231220 its reverse (221324100311), we get a palindrome (1351338331531).

The spelling of 1130014231220 in words is "one trillion, one hundred thirty billion, fourteen million, two hundred thirty-one thousand, two hundred twenty".