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1010200112 = 2417231131429
BaseRepresentation
bin111100001101100…
…110111000110000
32121101212111000222
4330031212320300
54032102400422
6244124032212
734014362555
oct7415467060
92541774028
101010200112
11479260329
12242392668
1313139bb5c
1498244a2c
155da48842
hex3c366e30

1010200112 has 80 divisors (see below), whose sum is σ = 2183163840. Its totient is φ = 450379776.

The previous prime is 1010200109. The next prime is 1010200133. The reversal of 1010200112 is 2110020101.

1010200112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1010200112.

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, 706214 + ... + 707642.

It is an arithmetic number, because the mean of its divisors is an integer number (27289548).

Almost surely, 21010200112 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 1010200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091581920).

1010200112 is an abundant number, since it is smaller than the sum of its proper divisors (1172963728).

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

1010200112 is a wasteful number, since it uses less digits than its factorization.

1010200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1010200112 is about 31783.6453541755. The cubic root of 1010200112 is about 1003.3885421461.

Adding to 1010200112 its reverse (2110020101), we get a palindrome (3120220213).

The spelling of 1010200112 in words is "one billion, ten million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 113 136 184 226 272 368 391 452 782 904 1429 1564 1808 1921 2599 2858 3128 3842 5198 5716 6256 7684 10396 11432 15368 20792 22864 24293 30736 32867 41584 44183 48586 65734 88366 97172 131468 161477 176732 194344 262936 322954 353464 388688 525872 558739 645908 706928 1117478 1291816 2234956 2583632 2745109 3713971 4469912 5490218 7427942 8939824 10980436 14855884 21960872 29711768 43921744 59423536 63137507 126275014 252550028 505100056 1010200112