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2101026872 = 2371717312757
BaseRepresentation
bin111110100111011…
…0010000000111000
312102102110020001002
41331032302000320
513300330324442
6544252144132
7103031301530
oct17516620070
95372406032
102101026872
11988a7a64a
124a7768048
1327638a389
1415d0764c0
15c46bb732
hex7d3b2038

2101026872 has 64 divisors (see below), whose sum is σ = 4794966720. Its totient is φ = 842508288.

The previous prime is 2101026869. The next prime is 2101026877. The reversal of 2101026872 is 2786201012.

It is a super-2 number, since 2×21010268722 = 8828627833732208768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101026877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158318 + ... + 171074.

It is an arithmetic number, because the mean of its divisors is an integer number (74921355).

Almost surely, 22101026872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101026872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397483360).

2101026872 is an abundant number, since it is smaller than the sum of its proper divisors (2693939848).

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

2101026872 is a wasteful number, since it uses less digits than its factorization.

2101026872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12960 (or 12956 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 2101026872 is about 45836.9596722994. The cubic root of 2101026872 is about 1280.7878596873.

Adding to 2101026872 its reverse (2786201012), we get a palindrome (4887227884).

The spelling of 2101026872 in words is "two billion, one hundred one million, twenty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 173 238 346 476 692 952 1211 1384 2422 2941 4844 5882 9688 11764 12757 20587 23528 25514 41174 51028 82348 89299 102056 164696 178598 216869 357196 433738 714392 867476 1518083 1734952 2206961 3036166 4413922 6072332 8827844 12144664 15448727 17655688 30897454 37518337 61794908 75036674 123589816 150073348 262628359 300146696 525256718 1050513436 2101026872