Search a number
-
+
1112302322010 = 23251110345723869
BaseRepresentation
bin10000001011111010011…
…000101000000101011010
310221100001021001110220200
4100023322120220011122
5121210443343301020
62210552403003030
7143234613511365
oct20137230500532
93840037043820
101112302322010
113997a7732670
1215b6a3969476
1380b74771759
143bb9b3010dc
151de00a3d590
hex102fa62815a

1112302322010 has 192 divisors, whose sum is σ = 3192628158720. Its totient is φ = 266435619840.

The previous prime is 1112302322009. The next prime is 1112302322017. The reversal of 1112302322010 is 102232032111.

1112302322010 is a `hidden beast` number, since 1 + 1 + 1 + 230 + 232 + 201 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1112302322017) 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 95 ways as a sum of consecutive naturals, for example, 46588356 + ... + 46612224.

It is an arithmetic number, because the mean of its divisors is an integer number (16628271660).

Almost surely, 21112302322010 is an apocalyptic number.

1112302322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112302322010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596314079360).

1112302322010 is an abundant number, since it is smaller than the sum of its proper divisors (2080325836710).

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

1112302322010 is a wasteful number, since it uses less digits than its factorization.

1112302322010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24453 (or 24450 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1112302322010 its reverse (102232032111), we get a palindrome (1214534354121).

The spelling of 1112302322010 in words is "one trillion, one hundred twelve billion, three hundred two million, three hundred twenty-two thousand, ten".