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1002022112 = 25713615641
BaseRepresentation
bin111011101110011…
…010010011100000
32120211110222221002
4323232122103200
54023004201422
6243232451132
733555022160
oct7356322340
92524428832
101002022112
11474685053
1223b6a9aa8
1312c7976c0
14971165a0
155ce80692
hex3bb9a4e0

1002022112 has 96 divisors (see below), whose sum is σ = 2468217024. Its totient is φ = 389836800.

The previous prime is 1002022103. The next prime is 1002022157. The reversal of 1002022112 is 2112202001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002022093 and 1002022102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174812 + ... + 180452.

It is an arithmetic number, because the mean of its divisors is an integer number (25710594).

Almost surely, 21002022112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234108512).

1002022112 is an abundant number, since it is smaller than the sum of its proper divisors (1466194912).

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

1002022112 is a wasteful number, since it uses less digits than its factorization.

1002022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1002022112 is about 31654.7328530822. The cubic root of 1002022112 is about 1000.6735835167.

Adding to 1002022112 its reverse (2112202001), we get a palindrome (3114224113).

The spelling of 1002022112 in words is "one billion, two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 61 91 104 112 122 182 208 224 244 364 416 427 488 728 793 854 976 1456 1586 1708 1952 2912 3172 3416 5551 5641 6344 6832 11102 11282 12688 13664 22204 22564 25376 39487 44408 45128 73333 78974 88816 90256 146666 157948 177632 180512 293332 315896 344101 513331 586664 631792 688202 1026662 1173328 1263584 1376404 2053324 2346656 2408707 2752808 4106648 4473313 4817414 5505616 8213296 8946626 9634828 11011232 16426592 17893252 19269656 31313191 35786504 38539312 62626382 71573008 77078624 125252764 143146016 250505528 501011056 1002022112