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1130124428496 = 2432791910331181
BaseRepresentation
bin10000011100100000101…
…010100100010011010000
311000001001022111021220200
4100130200222210103100
5122003443323202441
62223101052335200
7144435352100460
oct20344052442320
94001038437820
101130124428496
113a6312860a98
12163038474500
1382754b87bab
143c9ac261ba0
151e5e54a77b6
hex10720aa44d0

1130124428496 has 240 divisors, whose sum is σ = 3625107383040. Its totient is φ = 321956259840.

The previous prime is 1130124428467. The next prime is 1130124428497. The reversal of 1130124428496 is 6948244210311.

1130124428496 is a `hidden beast` number, since 1 + 1 + 30 + 12 + 442 + 84 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130124428497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956921026 + ... + 956922206.

It is an arithmetic number, because the mean of its divisors is an integer number (15104614096).

Almost surely, 21130124428496 is an apocalyptic number.

1130124428496 is a gapful number since it is divisible by the number (16) 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 1130124428496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812553691520).

1130124428496 is an abundant number, since it is smaller than the sum of its proper divisors (2494982954544).

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

1130124428496 is a wasteful number, since it uses less digits than its factorization.

1130124428496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1130124428496 in words is "one trillion, one hundred thirty billion, one hundred twenty-four million, four hundred twenty-eight thousand, four hundred ninety-six".