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1130033433132 = 2233294110498389
BaseRepresentation
bin10000011100011011001…
…111011100101000101100
311000000210222021020202000
4100130123033130220230
5122003302024330012
62223044042132300
7144433165461042
oct20343317345054
94000728236660
101130033433132
113a627645a90a
12163011ab1090
138273c077b96
143c9a0136392
151e5dc4d0ddc
hex1071b3dca2c

1130033433132 has 192 divisors, whose sum is σ = 3107991600000. Its totient is φ = 354437959680.

The previous prime is 1130033433101. The next prime is 1130033433209. The reversal of 1130033433132 is 2313343300311.

1130033433132 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 0 + 3 + 343 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1130033433096 and 1130033433105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134699994 + ... + 134708382.

It is an arithmetic number, because the mean of its divisors is an integer number (16187456250).

Almost surely, 21130033433132 is an apocalyptic number.

1130033433132 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 1130033433132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553995800000).

1130033433132 is an abundant number, since it is smaller than the sum of its proper divisors (1977958166868).

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

1130033433132 is a wasteful number, since it uses less digits than its factorization.

1130033433132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9521 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1130033433132 its reverse (2313343300311), we get a palindrome (3443376733443).

The spelling of 1130033433132 in words is "one trillion, one hundred thirty billion, thirty-three million, four hundred thirty-three thousand, one hundred thirty-two".