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111362200040 = 2357213101109397
BaseRepresentation
bin110011110110110110…
…1000101000111101000
3101122110000121220112102
41213231231011013220
53311032210400130
6123054210232532
711021442040100
oct1475555050750
9348400556472
10111362200040
1143257071173
12196bab85748
13a6697a2330
145566096200
152d6b9c2645
hex19edb451e8

111362200040 has 384 divisors, whose sum is σ = 320716519200. Its totient is φ = 34488115200.

The previous prime is 111362199973. The next prime is 111362200043. The reversal of 111362200040 is 40002263111.

It can be written as a sum of positive squares in 16 ways, for example, as 36289488004 + 75072712036 = 190498^2 + 273994^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111362199985 and 111362200021.

It is not an unprimeable number, because it can be changed into a prime (111362200043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280509122 + ... + 280509518.

Almost surely, 2111362200040 is an apocalyptic number.

111362200040 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 111362200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160358259600).

111362200040 is an abundant number, since it is smaller than the sum of its proper divisors (209354319160).

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

111362200040 is a wasteful number, since it uses less digits than its factorization.

111362200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 111362200040 its reverse (40002263111), we get a palindrome (151364463151).

The spelling of 111362200040 in words is "one hundred eleven billion, three hundred sixty-two million, two hundred thousand, forty".