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22011112002 = 23117110146507
BaseRepresentation
bin10100011111111101…
…101110101001000010
32002210222210100021110
4110133331232221002
5330034321041002
614040050304150
71406312236125
oct243775565102
962728710243
1022011112002
119375776260
124323588056
1320ca242a39
1410cb4343bc
1588c5c5e6c
hex51ff6ea42

22011112002 has 64 divisors (see below), whose sum is σ = 49183884288. Its totient is φ = 6510840000.

The previous prime is 22011111971. The next prime is 22011112007. The reversal of 22011112002 is 20021111022.

It is a super-3 number, since 3×220111120023 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22011112007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450033 + ... + 496539.

It is an arithmetic number, because the mean of its divisors is an integer number (768498192).

Almost surely, 222011112002 is an apocalyptic number.

22011112002 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 22011112002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24591942144).

22011112002 is an abundant number, since it is smaller than the sum of its proper divisors (27172772286).

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

22011112002 is a wasteful number, since it uses less digits than its factorization.

22011112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46695.

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

Adding to 22011112002 its reverse (20021111022), we get a palindrome (42032223024).

The spelling of 22011112002 in words is "twenty-two billion, eleven million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 11 22 33 66 71 101 142 202 213 303 426 606 781 1111 1562 2222 2343 3333 4686 6666 7171 14342 21513 43026 46507 78881 93014 139521 157762 236643 279042 473286 511577 1023154 1534731 3069462 3301997 4697207 6603994 9394414 9905991 14091621 19811982 28183242 36321967 51669277 72643934 103338554 108965901 155007831 217931802 310015662 333501697 667003394 1000505091 2001010182 3668518667 7337037334 11005556001 22011112002