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1130321011032 = 23321923108733049
BaseRepresentation
bin10000011100101100011…
…000011110000101011000
311000001120000101201110100
4100130230120132011120
5122004344134323112
62223132354015400
7144443260032423
oct20345430360530
94001500351410
101130321011032
113a640381a3a4
12163092277560
1382786816815
143c9ca3d49ba
151e6078892dc
hex1072c61e158

1130321011032 has 192 divisors, whose sum is σ = 3365706240000. Its totient is φ = 341099776512.

The previous prime is 1130321011019. The next prime is 1130321011033. The reversal of 1130321011032 is 2301101230311.

1130321011032 is a `hidden beast` number, since 11 + 303 + 210 + 110 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1130321010996 and 1130321011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130321011033) 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 47 ways as a sum of consecutive naturals, for example, 34184844 + ... + 34217892.

It is an arithmetic number, because the mean of its divisors is an integer number (17529720000).

Almost surely, 21130321011032 is an apocalyptic number.

1130321011032 is a gapful number since it is divisible by the number (12) 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 1130321011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682853120000).

1130321011032 is an abundant number, since it is smaller than the sum of its proper divisors (2235385228968).

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

1130321011032 is a wasteful number, since it uses less digits than its factorization.

1130321011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34190 (or 34183 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1130321011032 its reverse (2301101230311), we get a palindrome (3431422241343).

The spelling of 1130321011032 in words is "one trillion, one hundred thirty billion, three hundred twenty-one million, eleven thousand, thirty-two".