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10112322330 = 232511172920719
BaseRepresentation
bin10010110101011110…
…11100101100011010
3222002202010012101200
421122233130230122
5131202223303310
64351234055030
7505410215205
oct113257345432
928082105350
1010112322330
11431a162490
121b6271a476
13c520568a6
146bd04093c
153e2b989c0
hex25abdcb1a

10112322330 has 192 divisors, whose sum is σ = 31418150400. Its totient is φ = 2227599360.

The previous prime is 10112322323. The next prime is 10112322331. The reversal of 10112322330 is 3322321101.

10112322330 is a `hidden beast` number, since 1 + 0 + 1 + 12 + 322 + 330 = 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 (10112322331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 477711 + ... + 498429.

It is an arithmetic number, because the mean of its divisors is an integer number (163636200).

Almost surely, 210112322330 is an apocalyptic number.

10112322330 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 10112322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15709075200).

10112322330 is an abundant number, since it is smaller than the sum of its proper divisors (21305828070).

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

10112322330 is a wasteful number, since it uses less digits than its factorization.

10112322330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20789 (or 20786 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10112322330 its reverse (3322321101), we get a palindrome (13434643431).

The spelling of 10112322330 in words is "ten billion, one hundred twelve million, three hundred twenty-two thousand, three hundred thirty".