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2011104300 = 2235221131771
BaseRepresentation
bin111011111011111…
…0000010000101100
312012011020200110110
41313313300100230
513104320314200
6531320540020
7100560050562
oct16767602054
95164220413
102011104300
11942241477
12481621610
1326086475a
14151149a32
15bb857b50
hex77df042c

2011104300 has 72 divisors (see below), whose sum is σ = 5846556352. Its totient is φ = 533736000.

The previous prime is 2011104299. The next prime is 2011104313. The reversal of 2011104300 is 34011102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47415 + ... + 79185.

Almost surely, 22011104300 is an apocalyptic number.

2011104300 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 2011104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923278176).

2011104300 is an abundant number, since it is smaller than the sum of its proper divisors (3835452052).

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

2011104300 is a wasteful number, since it uses less digits than its factorization.

2011104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31999 (or 31992 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2011104300 is about 44845.3375502961. The cubic root of 2011104300 is about 1262.2485046212.

Adding to 2011104300 its reverse (34011102), we get a palindrome (2045115402).

The spelling of 2011104300 in words is "two billion, eleven million, one hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 211 300 422 633 844 1055 1266 2110 2532 3165 4220 5275 6330 10550 12660 15825 21100 31650 31771 63300 63542 95313 127084 158855 190626 317710 381252 476565 635420 794275 953130 1588550 1906260 2382825 3177100 4765650 6703681 9531300 13407362 20111043 26814724 33518405 40222086 67036810 80444172 100555215 134073620 167592025 201110430 335184050 402220860 502776075 670368100 1005552150 2011104300