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2111020100 = 225274576599
BaseRepresentation
bin111110111010011…
…1001110001000100
312110010020221011122
41331310321301010
513310410120400
6545250253112
7103212242360
oct17564716104
95403227148
102111020100
11993685712
124aab87198
13278478b27
141605182a0
15c54e2685
hex7dd39c44

2111020100 has 72 divisors (see below), whose sum is σ = 5247580800. Its totient is φ = 722085120.

The previous prime is 2111020081. The next prime is 2111020129. The reversal of 2111020100 is 10201112.

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, 316601 + ... + 323199.

Almost surely, 22111020100 is an apocalyptic number.

2111020100 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 2111020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623790400).

2111020100 is an abundant number, since it is smaller than the sum of its proper divisors (3136560700).

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

2111020100 is a wasteful number, since it uses less digits than its factorization.

2111020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7070 counting only the distinct ones).

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

The square root of 2111020100 is about 45945.8387669656. The cubic root of 2111020100 is about 1282.8152756152.

Adding to 2111020100 its reverse (10201112), we get a palindrome (2121221212).

The spelling of 2111020100 in words is "two billion, one hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 457 700 914 1828 2285 3199 4570 6398 6599 9140 11425 12796 13198 15995 22850 26396 31990 32995 45700 46193 63980 65990 79975 92386 131980 159950 164975 184772 230965 319900 329950 461930 659900 923860 1154825 2309650 3015743 4619300 6031486 12062972 15078715 21110201 30157430 42220402 60314860 75393575 84440804 105551005 150787150 211102010 301574300 422204020 527755025 1055510050 2111020100