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10001021112 = 2332307452453
BaseRepresentation
bin10010101000001101…
…10111100010111000
3221210222200111211100
421110012313202320
5130440230133422
64332220331400
7502556163645
oct112406674270
927728614740
1010001021112
114272352205
121b313a3b60
13c34c87194
146ac34adcc
153d80107ac
hex2541b78b8

10001021112 has 48 divisors (see below), whose sum is σ = 27174387240. Its totient is φ = 3322807488.

The previous prime is 10001021087. The next prime is 10001021117. The reversal of 10001021112 is 21112010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001021094 and 10001021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001021117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204123 + ... + 248330.

Almost surely, 210001021112 is an apocalyptic number.

10001021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001021112 is an abundant number, since it is smaller than the sum of its proper divisors (17173366128).

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

10001021112 is a wasteful number, since it uses less digits than its factorization.

10001021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452772 (or 452765 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001021112 its reverse (21112010001), we get a palindrome (31113031113).

The spelling of 10001021112 in words is "ten billion, one million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 307 614 921 1228 1842 2456 2763 3684 5526 7368 11052 22104 452453 904906 1357359 1809812 2714718 3619624 4072077 5429436 8144154 10858872 16288308 32576616 138903071 277806142 416709213 555612284 833418426 1111224568 1250127639 1666836852 2500255278 3333673704 5000510556 10001021112