Search a number
-
+
1033023201012 = 223611269119723
BaseRepresentation
bin11110000100001001111…
…10110001111011110100
310122202102011101212000000
433002010332301323310
5113411112414413022
62110321520151300
7134430164221005
oct17020476617364
93582364355000
101033023201012
11369114736660
12148259468530
137654baa957a
1437dda1b71ac
151bd109b86ac
hexf084fb1ef4

1033023201012 has 168 divisors, whose sum is σ = 2967866969760. Its totient is φ = 311871021120.

The previous prime is 1033023201011. The next prime is 1033023201017. The reversal of 1033023201012 is 2101023203301.

1033023201012 is a `hidden beast` number, since 1 + 0 + 330 + 2 + 320 + 1 + 0 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033023201011) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8568583 + ... + 8688305.

It is an arithmetic number, because the mean of its divisors is an integer number (17665874820).

Almost surely, 21033023201012 is an apocalyptic number.

1033023201012 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 1033023201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483933484880).

1033023201012 is an abundant number, since it is smaller than the sum of its proper divisors (1934843768748).

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

1033023201012 is a wasteful number, since it uses less digits than its factorization.

1033023201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120025 (or 120008 counting only the distinct ones).

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

Adding to 1033023201012 its reverse (2101023203301), we get a palindrome (3134046404313).

The spelling of 1033023201012 in words is "one trillion, thirty-three billion, twenty-three million, two hundred one thousand, twelve".