Search a number
-
+
1011112000122 = 2372149227101681
BaseRepresentation
bin11101011011010101111…
…10001011101001111010
310120122212010121112000010
432231222332023221322
5113031224133000442
62052255355122350
7133023204123600
oct16555276135172
93518763545003
101011112000122
1135a8a0401074
12143b634433b6
1374469478a43
1436d1c14d870
151b47c07ab9c
hexeb6af8ba7a

1011112000122 has 96 divisors (see below), whose sum is σ = 2378626689600. Its totient is φ = 285683381760.

The previous prime is 1011112000103. The next prime is 1011112000147. The reversal of 1011112000122 is 2210002111101.

It is a super-2 number, since 2×10111120001222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011112000098 and 1011112000107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9893122 + ... + 9994802.

It is an arithmetic number, because the mean of its divisors is an integer number (24777361350).

Almost surely, 21011112000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011112000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189313344800).

1011112000122 is an abundant number, since it is smaller than the sum of its proper divisors (1367514689478).

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

1011112000122 is a wasteful number, since it uses less digits than its factorization.

1011112000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102076 (or 102069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011112000122 its reverse (2210002111101), we get a palindrome (3221114111223).

The spelling of 1011112000122 in words is "one trillion, eleven billion, one hundred twelve million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 49 98 147 149 227 294 298 447 454 681 894 1043 1362 1589 2086 3129 3178 4767 6258 7301 9534 11123 14602 21903 22246 33369 33823 43806 66738 67646 101469 101681 202938 203362 236761 305043 473522 610086 710283 711767 1420566 1423534 1657327 2135301 3314654 4270602 4971981 4982369 9943962 9964738 14947107 15150469 23081587 29894214 30300938 45451407 46163174 69244761 90902814 106053283 138489522 161571109 212106566 318159849 323142218 484713327 636319698 742372981 969426654 1130997763 1484745962 2227118943 2261995526 3392993289 3439156463 4454237886 6785986578 6878312926 10317469389 20634938778 24074095241 48148190482 72222285723 144444571446 168518666687 337037333374 505556000061 1011112000122