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10011300222 = 23711194792381
BaseRepresentation
bin10010101001011100…
…00101000101111110
3221211201000202010010
421110232011011332
5131000343101342
64333224524050
7503042435130
oct112456050576
927751022103
1010011300222
114278133040
121b34920626
13c37145ab1
146ad865050
153d8d9129c
hex254b8517e

10011300222 has 128 divisors (see below), whose sum is σ = 26343014400. Its totient is φ = 2457302400.

The previous prime is 10011300199. The next prime is 10011300223. The reversal of 10011300222 is 22200311001.

10011300222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100113002222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011300198 and 10011300207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011300223) 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 63 ways as a sum of consecutive naturals, for example, 4203472 + ... + 4205852.

It is an arithmetic number, because the mean of its divisors is an integer number (205804800).

Almost surely, 210011300222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011300222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171507200).

10011300222 is an abundant number, since it is smaller than the sum of its proper divisors (16331714178).

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

10011300222 is a wasteful number, since it uses less digits than its factorization.

10011300222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10011300222 its reverse (22200311001), we get a palindrome (32211611223).

The spelling of 10011300222 in words is "ten billion, eleven million, three hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 479 627 798 958 1254 1437 1463 2381 2874 2926 3353 4389 4762 5269 6706 7143 8778 9101 10059 10538 14286 15807 16667 18202 20118 26191 27303 31614 33334 36883 45239 50001 52382 54606 63707 73766 78573 90478 100002 100111 110649 127414 135717 157146 183337 191121 200222 221298 271434 300333 316673 366674 382242 497629 550011 600666 633346 700777 950019 995258 1100022 1140499 1401554 1492887 1900038 2102331 2280998 2985774 3421497 3483403 4204662 6842994 6966806 7983493 10450209 12545489 15966986 20900418 21669481 23950479 25090978 37636467 43338962 47900958 65008443 75272934 87818423 130016886 151686367 175636846 238364291 263455269 303372734 455059101 476728582 526910538 715092873 910118202 1430185746 1668550037 3337100074 5005650111 10011300222