Search a number
-
+
2000011101120 = 26325701399023
BaseRepresentation
bin11101000110101001111…
…100111000001111000000
321002012101012201211211200
4131012221330320033000
5230232010320213440
64130443054541200
7264332065601604
oct35065174701700
97065335654750
102000011101120
1170122214326a
12283747807800
131167a5950196
146cb3013d504
1537058e71c30
hex1d1a9f383c0

2000011101120 has 168 divisors, whose sum is σ = 6880255252416. Its totient is φ = 533254858752.

The previous prime is 2000011101113. The next prime is 2000011101181. The reversal of 2000011101120 is 211011100002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20147929 + ... + 20246951.

It is an arithmetic number, because the mean of its divisors is an integer number (40953900312).

Almost surely, 22000011101120 is an apocalyptic number.

2000011101120 is a gapful number since it is divisible by the number (20) 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 2000011101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440127626208).

2000011101120 is an abundant number, since it is smaller than the sum of its proper divisors (4880244151296).

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

2000011101120 is a wasteful number, since it uses less digits than its factorization.

2000011101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106059 (or 106046 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2000011101120 its reverse (211011100002), we get a palindrome (2211022201122).

The spelling of 2000011101120 in words is "two trillion, eleven million, one hundred one thousand, one hundred twenty".