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111994122240 = 21232571113607
BaseRepresentation
bin110100001001101011…
…1101011000000000000
3101201002001200212211100
41220103113223000000
53313330443402430
6123241022414400
711043214221630
oct1502327530000
9351061625740
10111994122240
1143550842720
1219856731400
13a73a696ab0
1455c5d8c6c0
152da71e8960
hex1a135eb000

111994122240 has 1248 divisors, whose sum is σ = 522076778496. Its totient is φ = 21446000640.

The previous prime is 111994122193. The next prime is 111994122257. The reversal of 111994122240 is 42221499111.

111994122240 is a `hidden beast` number, since 1 + 1 + 19 + 9 + 412 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111994122195 and 111994122204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184504017 + ... + 184504623.

It is an arithmetic number, because the mean of its divisors is an integer number (418330752).

Almost surely, 2111994122240 is an apocalyptic number.

111994122240 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 111994122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261038389248).

111994122240 is an abundant number, since it is smaller than the sum of its proper divisors (410082656256).

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

111994122240 is a wasteful number, since it uses less digits than its factorization.

111994122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 111994122240 in words is "one hundred eleven billion, nine hundred ninety-four million, one hundred twenty-two thousand, two hundred forty".