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111313222020 = 22325711133759283
BaseRepresentation
bin110011110101011001…
…0001111100110000100
3101122022121110120022200
41213222302033212010
53310432141101040
6123045300354500
711020305530040
oct1475262174604
9348277416280
10111313222020
1143231459270
12196a66a5a30
13a65c5b4160
14555d787020
152d6754a630
hex19eac8f984

111313222020 has 1152 divisors, whose sum is σ = 475165716480. Its totient is φ = 20349480960.

The previous prime is 111313221977. The next prime is 111313222091. The reversal of 111313222020 is 20222313111.

111313222020 is a `hidden beast` number, since 11 + 131 + 322 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111313221984 and 111313222002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 393332799 + ... + 393333081.

It is an arithmetic number, because the mean of its divisors is an integer number (412470240).

Almost surely, 2111313222020 is an apocalyptic number.

111313222020 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 111313222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237582858240).

111313222020 is an abundant number, since it is smaller than the sum of its proper divisors (363852494460).

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

111313222020 is a wasteful number, since it uses less digits than its factorization.

111313222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 111313222020 its reverse (20222313111), we get a palindrome (131535535131).

It can be divided in two parts, 111313 and 222020, that added together give a palindrome (333333).

The spelling of 111313222020 in words is "one hundred eleven billion, three hundred thirteen million, two hundred twenty-two thousand, twenty".