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220012133121100 = 225220959104972629
BaseRepresentation
bin110010000001100110010001…
…000010100111110001001100
31001211222221202211200222101201
4302001212101002213301030
5212314134322034333400
62055532102330315244
764225231521223345
oct6201462102476114
91054887684628351
10220012133121100
11641146924958a1
12208139aa288b24
13959c0941766c8
143c489034330cc
151a680491de06a
hexc819910a7c4c

220012133121100 has 36 divisors (see below), whose sum is σ = 477449112481600. Its totient is φ = 88000653504960.

The previous prime is 220012133121097. The next prime is 220012133121133. The reversal of 220012133121100 is 1121331210022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50390415 + ... + 54582214.

Almost surely, 2220012133121100 is an apocalyptic number.

220012133121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220012133121100 is an abundant number, since it is smaller than the sum of its proper divisors (257436979360500).

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

220012133121100 is a wasteful number, since it uses less digits than its factorization.

220012133121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104993602 (or 104993595 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 220012133121100 its reverse (1121331210022), we get a palindrome (221133464331122).

The spelling of 220012133121100 in words is "two hundred twenty trillion, twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20959 41918 83836 104795 209590 419180 523975 1047950 2095900 104972629 209945258 419890516 524863145 1049726290 2099452580 2624315725 5248631450 10497262900 2200121331211 4400242662422 8800485324844 11000606656055 22001213312110 44002426624220 55003033280275 110006066560550 220012133121100