Search a number
-
+
111023022000 = 243531117531867
BaseRepresentation
bin110011101100101111…
…1001101111110110000
3101121120101101212201210
41213121133031332300
53304333343201000
6123000412400120
711010153054612
oct1473137157660
9347511355653
10111023022000
11430a2668740
1219625476040
13a614437b77
145533004db2
152d4bd25350
hex19d97cdfb0

111023022000 has 640 divisors, whose sum is σ = 421473881088. Its totient is φ = 24840192000.

The previous prime is 111023021987. The next prime is 111023022013. The reversal of 111023022000 is 220320111.

It is an interprime number because it is at equal distance from previous prime (111023021987) and next prime (111023022013).

It is a super-2 number, since 2×1110230220002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59465067 + ... + 59466933.

Almost surely, 2111023022000 is an apocalyptic number.

111023022000 is a gapful number since it is divisible by the number (10) 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 111023022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210736940544).

111023022000 is an abundant number, since it is smaller than the sum of its proper divisors (310450859088).

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

111023022000 is a wasteful number, since it uses less digits than its factorization.

111023022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 111023022000 its reverse (220320111), we get a palindrome (111243342111).

The spelling of 111023022000 in words is "one hundred eleven billion, twenty-three million, twenty-two thousand".