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1002413022 = 231321079239
BaseRepresentation
bin111011101111111…
…001101111011110
32120212012212011020
4323233321233132
54023104204042
6243245105010
733561240642
oct7357715736
92525185136
101002413022
11474921816
1223b858166
1312c8a3600
14971b8c22
155d00b3ec
hex3bbf9bde

1002413022 has 48 divisors (see below), whose sum is σ = 2191432320. Its totient is φ = 305519136.

The previous prime is 1002413017. The next prime is 1002413051. The reversal of 1002413022 is 2203142001.

It is a junction number, because it is equal to n+sod(n) for n = 1002412992 and 1002413010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103879 + ... + 113117.

It is an arithmetic number, because the mean of its divisors is an integer number (45654840).

Almost surely, 21002413022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002413022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095716160).

1002413022 is an abundant number, since it is smaller than the sum of its proper divisors (1189019298).

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

1002413022 is a wasteful number, since it uses less digits than its factorization.

1002413022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1002413022 is about 31660.9068410872. The cubic root of 1002413022 is about 1000.8036945687.

Adding to 1002413022 its reverse (2203142001), we get a palindrome (3205555023).

The spelling of 1002413022 in words is "one billion, two million, four hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 107 169 214 321 338 507 642 1014 1391 2782 4173 8346 9239 18083 18478 27717 36166 54249 55434 108498 120107 240214 360321 720642 988573 1561391 1977146 2965719 3122782 4684173 5931438 9368346 12851449 25702898 38554347 77108694 167068837 334137674 501206511 1002413022