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1002442122 = 233111687613
BaseRepresentation
bin111011110000000…
…000110110001010
32120212021100002000
4323300000312022
54023111121442
6243245451430
733561421533
oct7360006612
92525240060
101002442122
11474941670
1223b870b76
1312c8b3926
14971c568a
155d014d4c
hex3bc00d8a

1002442122 has 32 divisors (see below), whose sum is σ = 2430164160. Its totient is φ = 303770160.

The previous prime is 1002442079. The next prime is 1002442127. The reversal of 1002442122 is 2212442001.

1002442122 is a `hidden beast` number, since 100 + 2 + 442 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002442095 and 1002442104.

It is not an unprimeable number, because it can be changed into a prime (1002442127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843213 + ... + 844400.

It is an arithmetic number, because the mean of its divisors is an integer number (75942630).

Almost surely, 21002442122 is an apocalyptic number.

1002442122 is an abundant number, since it is smaller than the sum of its proper divisors (1427722038).

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

1002442122 is a wasteful number, since it uses less digits than its factorization.

1002442122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687635 (or 1687629 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1002442122 is about 31661.3663950247. The cubic root of 1002442122 is about 1000.8133789021.

Adding to 1002442122 its reverse (2212442001), we get a palindrome (3214884123).

The spelling of 1002442122 in words is "one billion, two million, four hundred forty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1687613 3375226 5062839 10125678 15188517 18563743 30377034 37127486 45565551 55691229 91131102 111382458 167073687 334147374 501221061 1002442122