Search a number
-
+
11961022024 = 237213589679
BaseRepresentation
bin10110010001110111…
…01011011001001000
31010212120202212121201
423020323223121020
5143444010201044
65254514113544
7602256003220
oct131073533110
933776685551
1011961022024
115088759976
12239987b8b4
131188068233
14816793080
154a01217d4
hex2c8eeb648

11961022024 has 16 divisors (see below), whose sum is σ = 25630761600. Its totient is φ = 5126152272.

The previous prime is 11961022013. The next prime is 11961022037. The reversal of 11961022024 is 42022016911.

11961022024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×119610220242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11961021983 and 11961022001.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 106794784 + ... + 106794895.

It is an arithmetic number, because the mean of its divisors is an integer number (1601922600).

Almost surely, 211961022024 is an apocalyptic number.

11961022024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11961022024 is an abundant number, since it is smaller than the sum of its proper divisors (13669739576).

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

11961022024 is a wasteful number, since it uses less digits than its factorization.

11961022024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213589692 (or 213589688 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 11961022024 its reverse (42022016911), we get a palindrome (53983038935).

The spelling of 11961022024 in words is "eleven billion, nine hundred sixty-one million, twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 213589679 427179358 854358716 1495127753 1708717432 2990255506 5980511012 11961022024