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220012131101 = 7263604719763
BaseRepresentation
bin1100110011100110111…
…1101011001100011101
3210000220000122021111012
43030321233223030131
512101041101143401
6245023331305005
721616051154360
oct3147157531435
9700800567435
10220012131101
1185341126524
123678174b165
1317993383679
14a911c440d7
155aca2d98bb
hex3339beb31d

220012131101 has 16 divisors (see below), whose sum is σ = 252453003264. Its totient is φ = 187824213744.

The previous prime is 220012131091. The next prime is 220012131133. The reversal of 220012131101 is 101131210022.

It is a cyclic number.

It is not a de Polignac number, because 220012131101 - 226 = 219945022237 is a prime.

It is a super-2 number, since 2×2200121311012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220012131191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11122646 + ... + 11142408.

It is an arithmetic number, because the mean of its divisors is an integer number (15778312704).

Almost surely, 2220012131101 is an apocalyptic number.

It is an amenable number.

220012131101 is a deficient number, since it is larger than the sum of its proper divisors (32440872163).

220012131101 is a wasteful number, since it uses less digits than its factorization.

220012131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26080.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 220012131101 its reverse (101131210022), we get a palindrome (321143341123).

The spelling of 220012131101 in words is "two hundred twenty billion, twelve million, one hundred thirty-one thousand, one hundred one".

Divisors: 1 7 263 1841 6047 19763 42329 138341 1590361 5197669 11132527 36383683 119506861 836548027 31430304443 220012131101