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20102122341 = 3271916793753
BaseRepresentation
bin10010101110001011…
…100000101101100101
31220212221200121202200
4102232023200231211
5312132120403331
613122414125113
71311102135450
oct225613405545
956787617680
1020102122341
118586140054
123a901b0799
131b848b2462
14d89aaa497
157c9bde5e6
hex4ae2e0b65

20102122341 has 24 divisors (see below), whose sum is σ = 34931008320. Its totient is φ = 10882351296.

The previous prime is 20102122333. The next prime is 20102122363. The reversal of 20102122341 is 14322120102.

It is a happy number.

20102122341 is a `hidden beast` number, since 201 + 0 + 2 + 122 + 341 = 666.

It is not a de Polignac number, because 20102122341 - 23 = 20102122333 is a prime.

It is a super-2 number, since 2×201021223412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102122301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8395680 + ... + 8398073.

It is an arithmetic number, because the mean of its divisors is an integer number (1455458680).

Almost surely, 220102122341 is an apocalyptic number.

20102122341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20102122341 is a deficient number, since it is larger than the sum of its proper divisors (14828885979).

20102122341 is a wasteful number, since it uses less digits than its factorization.

20102122341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16793785 (or 16793782 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20102122341 its reverse (14322120102), we get a palindrome (34424242443).

The spelling of 20102122341 in words is "twenty billion, one hundred two million, one hundred twenty-two thousand, three hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 16793753 50381259 117556271 151143777 319081307 352668813 957243921 1058006439 2233569149 2871731763 6700707447 20102122341