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220211210022102 = 2321310973911682953
BaseRepresentation
bin110010000100011111101010…
…111100101110110011010110
31001212200222121212000101010100
4302010133222330232303112
5212330420024231201402
62100203344443234530
764245510033034545
oct6204375274566326
91055628555011110
10220211210022102
1164191060188062
12208464a8818a46
1395b4a9c172350
143c543caaa415c
151a6d2eb5c271c
hexc847eaf2ecd6

220211210022102 has 96 divisors (see below), whose sum is σ = 519241880757600. Its totient is φ = 67044816446976.

The previous prime is 220211210022053. The next prime is 220211210022119. The reversal of 220211210022102 is 201220012112022.

It is a happy number.

220211210022102 is a `hidden beast` number, since 2 + 20 + 211 + 210 + 0 + 221 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13007458 + ... + 24690410.

It is an arithmetic number, because the mean of its divisors is an integer number (5408769591225).

Almost surely, 2220211210022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220211210022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259620940378800).

220211210022102 is an abundant number, since it is smaller than the sum of its proper divisors (299030670735498).

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

220211210022102 is a wasteful number, since it uses less digits than its factorization.

220211210022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11683822 (or 11683819 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220211210022102 its reverse (201220012112022), we get a palindrome (421431222134124).

The spelling of 220211210022102 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred ten million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 109 117 218 234 327 654 739 981 1417 1478 1962 2217 2834 4251 4434 6651 8502 9607 12753 13302 19214 25506 28821 57642 80551 86463 161102 172926 241653 483306 724959 1047163 1449918 2094326 3141489 6282978 9424467 11682953 18848934 23365906 35048859 70097718 105146577 151878389 210293154 303756778 455635167 911270334 1273441877 1366905501 2546883754 2733811002 3820325631 7640651262 8633702267 11460976893 16554744401 17267404534 22921953786 25901106801 33109488802 49664233203 51802213602 77703320403 99328466406 112238129471 148992699609 155406640806 224476258942 297985399218 336714388413 673428776826 941073547103 1010143165239 1882147094206 2020286330478 2823220641309 5646441282618 8469661923927 12233956112339 16939323847854 24467912224678 36701868337017 73403736674034 110105605011051 220211210022102