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111113200440 = 2333511531091619
BaseRepresentation
bin110011101111011011…
…1001110001100111000
3101121210200002102022000
41213132313032030320
53310024434403230
6123013353301000
711012326422534
oct1473667161470
9347720072260
10111113200440
1143139561080
121964b704760
13a62a0200a8
145540d9abc4
152d54bd9b60
hex19dedce338

111113200440 has 512 divisors, whose sum is σ = 415704960000. Its totient is φ = 26169661440.

The previous prime is 111113200433. The next prime is 111113200447. The reversal of 111113200440 is 44002311111.

111113200440 is a `hidden beast` number, since 1 + 1 + 11 + 13 + 200 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (111113200433) and next prime (111113200447).

It is a super-2 number, since 2×1111132004402 (a number of 23 digits) contains 22 as substring.

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 (111113200447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68629951 + ... + 68631569.

It is an arithmetic number, because the mean of its divisors is an integer number (811923750).

Almost surely, 2111113200440 is an apocalyptic number.

111113200440 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 111113200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207852480000).

111113200440 is an abundant number, since it is smaller than the sum of its proper divisors (304591759560).

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

111113200440 is a wasteful number, since it uses less digits than its factorization.

111113200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 111113200440 its reverse (44002311111), we get a palindrome (155115511551).

The spelling of 111113200440 in words is "one hundred eleven billion, one hundred thirteen million, two hundred thousand, four hundred forty".