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2106256341 = 37293479967
BaseRepresentation
bin111110110001010…
…1110101111010101
312102210021220112010
41331202232233111
513303200200331
6545000214433
7103123612020
oct17542565725
95383256463
102106256341
11990a21622
124a946a419
1327749b737
1415da381b7
15c4da0e46
hex7d8aebd5

2106256341 has 32 divisors (see below), whose sum is σ = 3330109440. Its totient is φ = 1158607296.

The previous prime is 2106256337. The next prime is 2106256363. The reversal of 2106256341 is 1436526012.

It is not a de Polignac number, because 2106256341 - 22 = 2106256337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2106256299 and 2106256308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106256301) 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, 206340 + ... + 216306.

It is an arithmetic number, because the mean of its divisors is an integer number (104065920).

Almost surely, 22106256341 is an apocalyptic number.

2106256341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2106256341 is a deficient number, since it is larger than the sum of its proper divisors (1223853099).

2106256341 is a wasteful number, since it uses less digits than its factorization.

2106256341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10353.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2106256341 is about 45893.9684599186. The cubic root of 2106256341 is about 1281.8496089331.

The spelling of 2106256341 in words is "two billion, one hundred six million, two hundred fifty-six thousand, three hundred forty-one".

Divisors: 1 3 7 21 29 87 203 347 609 1041 2429 7287 9967 10063 29901 30189 69769 70441 209307 211323 289043 867129 2023301 3458549 6069903 10375647 24209843 72629529 100297921 300893763 702085447 2106256341