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10022021120 = 2115978713
BaseRepresentation
bin10010101010101101…
…11110100000000000
3221212110012102102102
421111112332200000
5131011114133440
64334250405532
7503232526316
oct112526764000
927773172372
1010022021120
114283195891
121b384308a8
13c3942a817
146b10560b6
153d9cacb15
hex2555be800

10022021120 has 48 divisors (see below), whose sum is σ = 24047002980. Its totient is φ = 4008804352.

The previous prime is 10022021111. The next prime is 10022021123. The reversal of 10022021120 is 2112022001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8102880256 + 1919140864 = 90016^2 + 43808^2 .

It is not an unprimeable number, because it can be changed into a prime (10022021123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 479117 + ... + 499596.

Almost surely, 210022021120 is an apocalyptic number.

10022021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022021120 is an abundant number, since it is smaller than the sum of its proper divisors (14024981860).

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

10022021120 is an frugal number, since it uses more digits than its factorization.

10022021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978740 (or 978720 counting only the distinct ones).

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

Adding to 10022021120 its reverse (2112022001), we get a palindrome (12134043121).

The spelling of 10022021120 in words is "ten billion, twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 978713 1957426 3914852 4893565 7829704 9787130 15659408 19574260 31318816 39148520 62637632 78297040 125275264 156594080 250550528 313188160 501101056 626376320 1002202112 1252752640 2004404224 2505505280 5011010560 10022021120