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10021201112 = 23132311811321
BaseRepresentation
bin10010101010100111…
…10110010011011000
3221212101122202120202
421111103312103120
5131010411413422
64334221041332
7503222542526
oct112523662330
927771582522
1010021201112
11428278579a
121b380b6248
13c39201500
146b0cc1316
153d9b99b92
hex2554f64d8

10021201112 has 96 divisors (see below), whose sum is σ = 21134655360. Its totient is φ = 4447872000.

The previous prime is 10021201097. The next prime is 10021201117. The reversal of 10021201112 is 21110212001.

10021201112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10021201093 and 10021201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021201117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7585412 + ... + 7586732.

It is an arithmetic number, because the mean of its divisors is an integer number (220152660).

Almost surely, 210021201112 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 10021201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10567327680).

10021201112 is an abundant number, since it is smaller than the sum of its proper divisors (11113454248).

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

10021201112 is a wasteful number, since it uses less digits than its factorization.

10021201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10021201112 its reverse (21110212001), we get a palindrome (31131413113).

The spelling of 10021201112 in words is "ten billion, twenty-one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 181 248 338 362 403 676 724 806 1321 1352 1448 1612 2353 2642 3224 4706 5239 5284 5611 9412 10478 10568 11222 17173 18824 20956 22444 30589 34346 40951 41912 44888 61178 68692 72943 81902 122356 137384 145886 163804 223249 239101 244712 291772 327608 446498 478202 532363 583544 892996 948259 956404 1064726 1785992 1896518 1912808 2129452 3108313 3793036 4258904 6216626 6920719 7412131 7586072 12433252 13841438 14824262 24866504 27682876 29648524 40408069 55365752 59297048 80816138 96357703 161632276 192715406 323264552 385430812 770861624 1252650139 2505300278 5010600556 10021201112