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1010022112 = 251119914419
BaseRepresentation
bin111100001100111…
…011011011100000
32121101112102212101
4330030323123200
54032031201422
6244120140144
734013021611
oct7414733340
92541472771
101010022112
11479149620
12242307654
13131338b28
14981d9c08
155da10c27
hex3c33b6e0

1010022112 has 48 divisors (see below), whose sum is σ = 2180304000. Its totient is φ = 456762240.

The previous prime is 1010022089. The next prime is 1010022127. The reversal of 1010022112 is 2112200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62839 + ... + 77257.

It is an arithmetic number, because the mean of its divisors is an integer number (45423000).

Almost surely, 21010022112 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 1010022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090152000).

1010022112 is an abundant number, since it is smaller than the sum of its proper divisors (1170281888).

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

1010022112 is a wasteful number, since it uses less digits than its factorization.

1010022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14639 (or 14631 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1010022112 is about 31780.8450485509. The cubic root of 1010022112 is about 1003.3296054234.

Adding to 1010022112 its reverse (2112200101), we get a palindrome (3122222213).

The spelling of 1010022112 in words is "one billion, ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 199 352 398 796 1592 2189 3184 4378 6368 8756 14419 17512 28838 35024 57676 70048 115352 158609 230704 317218 461408 634436 1268872 2537744 2869381 5075488 5738762 11477524 22955048 31563191 45910096 63126382 91820192 126252764 252505528 505011056 1010022112