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22120012002 = 23111974323741
BaseRepresentation
bin10100100110011101…
…001001100011100010
32010002120201000222210
4110212131021203202
5330300210341002
614054540342550
71412103666624
oct244635114342
963076630883
1022120012002
119421196460
124353b44a56
1321169814ca
1410dbaa0c14
15896e3796c
hex5267498e2

22120012002 has 64 divisors (see below), whose sum is σ = 50872458240. Its totient is φ = 6341428800.

The previous prime is 22120011997. The next prime is 22120012051. The reversal of 22120012002 is 20021002122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919852 + ... + 943592.

It is an arithmetic number, because the mean of its divisors is an integer number (794882160).

Almost surely, 222120012002 is an apocalyptic number.

22120012002 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 22120012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25436229120).

22120012002 is an abundant number, since it is smaller than the sum of its proper divisors (28752446238).

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

22120012002 is a wasteful number, since it uses less digits than its factorization.

22120012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24519.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22120012002 its reverse (20021002122), we get a palindrome (42141014124).

The spelling of 22120012002 in words is "twenty-two billion, one hundred twenty million, twelve thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 743 1254 1486 2229 4458 8173 14117 16346 23741 24519 28234 42351 47482 49038 71223 84702 142446 155287 261151 310574 451079 465861 522302 783453 902158 931722 1353237 1566906 2706474 4961869 9923738 14885607 17639563 29771214 35279126 52918689 105837378 194035193 335151697 388070386 582105579 670303394 1005455091 1164211158 2010910182 3686668667 7373337334 11060006001 22120012002