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6106000100 = 2252241253361
BaseRepresentation
bin1011010111111001…
…00010101011100100
3120202112111221110212
411223330202223210
5100001114000400
62445520434552
7304212100364
oct55374425344
916675457425
106106000100
112653750282
121224a78a58
13764030615
1441cd229a4
1525b0c5335
hex16bf22ae4

6106000100 has 36 divisors (see below), whose sum is σ = 13305052068. Its totient is φ = 2432256000.

The previous prime is 6106000081. The next prime is 6106000169. The reversal of 6106000100 is 10006016.

It can be written as a sum of positive squares in 6 ways, for example, as 154803364 + 5951196736 = 12442^2 + 77144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102581 + ... + 150780.

Almost surely, 26106000100 is an apocalyptic number.

It is an amenable number.

6106000100 is an abundant number, since it is smaller than the sum of its proper divisors (7199051968).

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

6106000100 is a wasteful number, since it uses less digits than its factorization.

6106000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253616 (or 253609 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 6106000100 is about 78140.8990222150. The cubic root of 6106000100 is about 1827.7590194300.

Adding to 6106000100 its reverse (10006016), we get a palindrome (6116006116).

The spelling of 6106000100 in words is "six billion, one hundred six million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 253361 506722 1013444 1266805 2533610 5067220 6334025 12668050 25336100 61060001 122120002 244240004 305300005 610600010 1221200020 1526500025 3053000050 6106000100