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111311740540 = 2257112131937719
BaseRepresentation
bin110011110101010110…
…0100101111001111100
3101122022111200022010001
41213222230211321330
53310431301144130
6123045204524044
711020260116620
oct1475254457174
9348274608101
10111311740540
1143230637200
12196a60b0624
13a65c1b5a40
14555d4bd180
152d673566ca
hex19eab25e7c

111311740540 has 576 divisors, whose sum is σ = 342345830400. Its totient is φ = 29479127040.

The previous prime is 111311740523. The next prime is 111311740567. The reversal of 111311740540 is 45047113111.

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 = 111311740499 and 111311740508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 154814301 + ... + 154815019.

It is an arithmetic number, because the mean of its divisors is an integer number (594350400).

Almost surely, 2111311740540 is an apocalyptic number.

111311740540 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 111311740540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171172915200).

111311740540 is an abundant number, since it is smaller than the sum of its proper divisors (231034089860).

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

111311740540 is a wasteful number, since it uses less digits than its factorization.

111311740540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 111311740540 its reverse (45047113111), we get a palindrome (156358853651).

The spelling of 111311740540 in words is "one hundred eleven billion, three hundred eleven million, seven hundred forty thousand, five hundred forty".