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111021200000 = 2755433641
BaseRepresentation
bin110011101100101100…
…0010001001010000000
3101121120020222022102022
41213121120101022000
53304332411400000
6123000305341012
711010131425634
oct1473130211200
9347506868368
10111021200000
11430a1633857
1219624937768
13a613c4a769
145532a8cdc4
152d4bab5585
hex19d9611280

111021200000 has 192 divisors, whose sum is σ = 277521846840. Its totient is φ = 44236800000.

The previous prime is 111021199999. The next prime is 111021200009. The reversal of 111021200000 is 2120111.

It can be written as a sum of positive squares in 12 ways, for example, as 49964766784 + 61056433216 = 223528^2 + 247096^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (111021200009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173199680 + ... + 173200320.

Almost surely, 2111021200000 is an apocalyptic number.

111021200000 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 111021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138760923420).

111021200000 is an abundant number, since it is smaller than the sum of its proper divisors (166500646840).

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

111021200000 is an frugal number, since it uses more digits than its factorization.

111021200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 111021200000 its reverse (2120111), we get a palindrome (111023320111).

The spelling of 111021200000 in words is "one hundred eleven billion, twenty-one million, two hundred thousand".