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2106146031 = 3111710137171
BaseRepresentation
bin111110110001001…
…0011110011101111
312102210002022012120
41331202103303233
513303133133111
6544554004023
7103122642303
oct17542236357
95383068176
102106146031
11990956760
124a9416613
13277460472
1415da09d03
15c4d7d406
hex7d893cef

2106146031 has 32 divisors (see below), whose sum is σ = 3275894016. Its totient is φ = 1189440000.

The previous prime is 2106146017. The next prime is 2106146033. The reversal of 2106146031 is 1306416012.

It is not a de Polignac number, because 2106146031 - 211 = 2106143983 is a prime.

It is a super-2 number, since 2×21061460312 = 8871702207794105922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2106145992 and 2106146010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106146033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38076 + ... + 75246.

It is an arithmetic number, because the mean of its divisors is an integer number (102371688).

Almost surely, 22106146031 is an apocalyptic number.

2106146031 is a deficient number, since it is larger than the sum of its proper divisors (1169747985).

2106146031 is a wasteful number, since it uses less digits than its factorization.

2106146031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37303.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2106146031 is about 45892.7666522732. The cubic root of 2106146031 is about 1281.8272306347.

The spelling of 2106146031 in words is "two billion, one hundred six million, one hundred forty-six thousand, thirty-one".

Divisors: 1 3 11 17 33 51 101 187 303 561 1111 1717 3333 5151 18887 37171 56661 111513 408881 631907 1226643 1895721 3754271 6950977 11262813 20852931 41296981 63822607 123890943 191467821 702048677 2106146031