Search a number
-
+
22001020011102 = 23112131787293941
BaseRepresentation
bin1010000000010100000101…
…11110111000001001011110
32212220021110220122021210210
411000022002332320021132
510340431042110323402
6114443043513313250
74430343533334156
oct500120276701136
985807426567723
1022001020011102
11701264225a300
122573b41105826
13c378c1c70772
14560bd8387766
1528246c69906c
hex140282fb825e

22001020011102 has 96 divisors (see below), whose sum is σ = 48797175030912. Its totient is φ = 6607653624000.

The previous prime is 22001020011071. The next prime is 22001020011107. The reversal of 22001020011102 is 20111002010022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001020011107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74701452 + ... + 74995392.

It is an arithmetic number, because the mean of its divisors is an integer number (508303906572).

Almost surely, 222001020011102 is an apocalyptic number.

22001020011102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001020011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24398587515456).

22001020011102 is an abundant number, since it is smaller than the sum of its proper divisors (26796155019810).

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

22001020011102 is a wasteful number, since it uses less digits than its factorization.

22001020011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294886 (or 294875 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22001020011102 its reverse (20111002010022), we get a palindrome (42112022021124).

The spelling of 22001020011102 in words is "twenty-two trillion, one billion, twenty million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 121 131 242 262 363 393 726 786 787 1441 1574 2361 2882 4323 4722 8646 8657 15851 17314 25971 31702 47553 51942 95106 95227 103097 190454 206194 285681 293941 309291 571362 587882 618582 881823 1134067 1763646 2268134 3233351 3402201 6466702 6804402 9700053 12474737 19400106 24949474 35566861 37424211 38506271 71133722 74848422 77012542 106700583 115518813 213401166 231037626 231331567 423568981 462663134 693994701 847137962 1270706943 1387989402 2541413886 2544647237 4659258791 5089294474 7633941711 9318517582 13977776373 15267883422 27955552746 27991119607 30304435277 55982239214 60608870554 83973358821 90913305831 167946717642 181826611662 333348788047 666697576094 1000046364141 2000092728282 3666836668517 7333673337034 11000510005551 22001020011102