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10106000262 = 233187148153
BaseRepresentation
bin10010110100101110…
…10101001110000110
3222002022020000011000
421122113111032012
5131144114002022
64350450354130
7505302404421
oct113227251606
928068200130
1010106000262
114316634636
121b6058b946
13c50952117
146bc2769b8
153e234a6ac
hex25a5d5386

10106000262 has 16 divisors (see below), whose sum is σ = 22457778480. Its totient is φ = 3368666736.

The previous prime is 10106000257. The next prime is 10106000273. The reversal of 10106000262 is 26200060101.

It is a happy number.

10106000262 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 600 + 0 + 2 + 62 = 666.

10106000262 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93574023 + ... + 93574130.

It is an arithmetic number, because the mean of its divisors is an integer number (1403611155).

Almost surely, 210106000262 is an apocalyptic number.

10106000262 is an abundant number, since it is smaller than the sum of its proper divisors (12351778218).

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

10106000262 is a wasteful number, since it uses less digits than its factorization.

10106000262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187148164 (or 187148158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10106000262 its reverse (26200060101), we get a palindrome (36306060363).

The spelling of 10106000262 in words is "ten billion, one hundred six million, two hundred sixty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 187148153 374296306 561444459 1122888918 1684333377 3368666754 5053000131 10106000262