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2100780126 = 2322922717729
BaseRepresentation
bin111110100110111…
…0101110001011110
312102101222200120100
41331031311301132
513300244431001
6544243001530
7103026223254
oct17515656136
95371880510
102100780126
11988921225
124a76692a6
13276301c83
1415d0105d4
15c466d586
hex7d375c5e

2100780126 has 48 divisors (see below), whose sum is σ = 4729654800. Its totient is φ = 673096704.

The previous prime is 2100780061. The next prime is 2100780127. The reversal of 2100780126 is 6210870012.

It is a self number, because there is not a number n which added to its sum of digits gives 2100780126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100780127) 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, 109630 + ... + 127358.

It is an arithmetic number, because the mean of its divisors is an integer number (98534475).

Almost surely, 22100780126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100780126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364827400).

2100780126 is an abundant number, since it is smaller than the sum of its proper divisors (2628874674).

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

2100780126 is a wasteful number, since it uses less digits than its factorization.

2100780126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17993 (or 17990 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2100780126 is about 45834.2680316813. The cubic root of 2100780126 is about 1280.7377188637.

The spelling of 2100780126 in words is "two billion, one hundred million, seven hundred eighty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 227 261 454 522 681 1362 2043 4086 6583 13166 17729 19749 35458 39498 53187 59247 106374 118494 159561 319122 514141 1028282 1542423 3084846 4024483 4627269 8048966 9254538 12073449 24146898 36220347 72440694 116710007 233420014 350130021 700260042 1050390063 2100780126