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2205322141100 = 22521310715854221
BaseRepresentation
bin100000000101110111011…
…100010101110110101100
321210211022200200022112112
4200011313130111312230
5242112444432003400
64405035551023152
7315220636623311
oct40056734256654
97724280608475
102205322141100
117802a9946401
122b74a5b0aab8
1312cc65392a60
1478a4972ad08
153c5737dc835
hex20177715dac

2205322141100 has 72 divisors (see below), whose sum is σ = 5201833655088. Its totient is φ = 806662713600.

The previous prime is 2205322141097. The next prime is 2205322141133. The reversal of 2205322141100 is 11412235022.

2205322141100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7788011 + ... + 8066210.

It is an arithmetic number, because the mean of its divisors is an integer number (72247689654).

Almost surely, 22205322141100 is an apocalyptic number.

2205322141100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205322141100 is an abundant number, since it is smaller than the sum of its proper divisors (2996511513988).

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

2205322141100 is a wasteful number, since it uses less digits than its factorization.

2205322141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15854355 (or 15854348 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 2205322141100 its reverse (11412235022), we get a palindrome (2216734376122).

It can be divided in two parts, 220532 and 2141100, that added together give a palindrome (2361632).

The spelling of 2205322141100 in words is "two trillion, two hundred five billion, three hundred twenty-two million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 107 130 214 260 325 428 535 650 1070 1300 1391 2140 2675 2782 5350 5564 6955 10700 13910 27820 34775 69550 139100 15854221 31708442 63416884 79271105 158542210 206104873 317084420 396355525 412209746 792711050 824419492 1030524365 1585422100 1696401647 2061048730 3392803294 4122097460 5152621825 6785606588 8482008235 10305243650 16964016470 20610487300 22053221411 33928032940 42410041175 44106442822 84820082350 88212885644 110266107055 169640164700 220532214110 441064428220 551330535275 1102661070550 2205322141100