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21220122200022 = 23243251109227803
BaseRepresentation
bin1001101001100101100011…
…10110001000011111010110
32210010121211210122021210200
410310302301312020133112
510240132302240400042
6113044220051201330
74320050260425054
oct464626166103726
983117753567720
1021220122200022
1168414488578a9
122468727ba6246
13bac083690775
145350b8d9b1d4
1526beb63c9c4c
hex134cb1d887d6

21220122200022 has 48 divisors (see below), whose sum is σ = 47233597739328. Its totient is φ = 6881351526000.

The previous prime is 21220122199987. The next prime is 21220122200023. The reversal of 21220122200022 is 22000222102212.

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

It is a junction number, because it is equal to n+sod(n) for n = 21220122199968 and 21220122200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220122200023) 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 23 ways as a sum of consecutive naturals, for example, 54419628 + ... + 54808175.

It is an arithmetic number, because the mean of its divisors is an integer number (984033286236).

Almost surely, 221220122200022 is an apocalyptic number.

21220122200022 is an abundant number, since it is smaller than the sum of its proper divisors (26013475539306).

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

21220122200022 is a wasteful number, since it uses less digits than its factorization.

21220122200022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109228105 (or 109228102 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21220122200022 its reverse (22000222102212), we get a palindrome (43220344302234).

The spelling of 21220122200022 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 43 86 129 251 258 387 502 753 774 1506 2259 4518 10793 21586 32379 64758 97137 194274 109227803 218455606 327683409 655366818 983050227 1966100454 4696795529 9393591058 14090386587 27416178553 28180773174 42271159761 54832357106 82248535659 84542319522 164497071318 246745606977 493491213954 1178895677779 2357791355558 3536687033337 7073374066674 10610061100011 21220122200022