Search a number
-
+
111020010000 = 243544917537
BaseRepresentation
bin110011101100101001…
…1101110101000010000
3101121120011201212001020
41213121103232220100
53304332110310000
6123000224035440
711010115341354
oct1473123565020
9347504655036
10111020010000
11430a09a0789
1219624462b80
13a613921c13
14553285d464
152d4b92cba0
hex19d94eea10

111020010000 has 200 divisors, whose sum is σ = 359164955424. Its totient is φ = 29541120000.

The previous prime is 111020009987. The next prime is 111020010041. The reversal of 111020010000 is 10020111.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14726232 + ... + 14733768.

Almost surely, 2111020010000 is an apocalyptic number.

111020010000 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 111020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179582477712).

111020010000 is an abundant number, since it is smaller than the sum of its proper divisors (248144945424).

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

111020010000 is an equidigital number, since it uses as much as digits as its factorization.

111020010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8038 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 111020010000 its reverse (10020111), we get a palindrome (111030030111).

The spelling of 111020010000 in words is "one hundred eleven billion, twenty million, ten thousand".