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20022222222002 = 27111359290958271
BaseRepresentation
bin1001000110101110010010…
…11100010111001010110010
32121220002212002111100102002
410203113021130113022302
510111021002342101002
6110330025405254002
74134362221550060
oct443271134271262
977802762440362
1020022222222002
11641a416514370
1222b4535864302
13b2311a1a0920
144d311b727030
1524ac55c5d002
hex1235c97172b2

20022222222002 has 128 divisors (see below), whose sum is σ = 41022742118400. Its totient is φ = 7076196921600.

The previous prime is 20022222221959. The next prime is 20022222222007.

20022222222002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20022222222007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343576127 + ... + 343634397.

It is an arithmetic number, because the mean of its divisors is an integer number (320490172800).

Almost surely, 220022222222002 is an apocalyptic number.

20022222222002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20022222222002 is an abundant number, since it is smaller than the sum of its proper divisors (21000519896398).

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

20022222222002 is a wasteful number, since it uses less digits than its factorization.

20022222222002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61272.

The product of its (nonzero) digits is 1024, while the sum is 20.

It can be divided in two parts, 2002222 and 2222002, that added together give a palindrome (4224224).

The spelling of 20022222222002 in words is "twenty trillion, twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, two".

Divisors: 1 2 7 11 13 14 22 26 59 77 91 118 143 154 182 286 413 649 767 826 1001 1298 1534 2002 2909 4543 5369 5818 8437 9086 10738 16874 20363 31999 37817 40726 58271 59059 63998 75634 116542 118118 171631 223993 264719 343262 407897 415987 447986 529438 640981 757523 815794 831974 1201417 1281962 1515046 1887941 2231203 2402834 2911909 3437989 3775882 4462406 4486867 5302661 5823818 6875978 8332753 8973734 10605322 13215587 15618421 16665506 24065923 24543233 26431174 31236842 37817879 44693857 48131846 49086466 58329271 75635758 89387714 116658542 169510339 171802631 264725153 312856999 339020678 343605262 491632427 529450306 625713998 983264854 1186572373 1864613729 2203634407 2373144746 3441426989 3729227458 4407268814 6882853978 10001110001 13052296103 15425440849 20002220002 24239978477 26104592206 30850881698 48479956954 70007770007 110012210011 130014430013 140015540014 169679849339 220024420022 260028860026 339359698678 770085470077 910101010091 1430158730143 1540170940154 1820202020182 2860317460286 10011111111001 20022222222002