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101022221102022 = 232111153541781689
BaseRepresentation
bin10110111110000100010001…
…100110100110101111000110
3111020200122000021122220012100
4112332010101212212233012
5101220122002100231042
6554504545004332530
730164420546143263
oct2676042146465706
9436618007586170
10101022221102022
112a2093131939a0
12b3b6949544146
13444a47bcc895c
141ad370451226a
15ba2c46c8b24c
hex5be1119a6bc6

101022221102022 has 96 divisors (see below), whose sum is σ = 239033933742240. Its totient is φ = 30580223016960.

The previous prime is 101022221102021. The next prime is 101022221102041. The reversal of 101022221102022 is 220201122220101.

It is a happy number.

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 = 101022221101986 and 101022221102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022221102021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236627754 + ... + 1236709442.

It is an arithmetic number, because the mean of its divisors is an integer number (2489936809815).

Almost surely, 2101022221102022 is an apocalyptic number.

101022221102022 is an abundant number, since it is smaller than the sum of its proper divisors (138011712640218).

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

101022221102022 is a wasteful number, since it uses less digits than its factorization.

101022221102022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88278 (or 88275 counting only the distinct ones).

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

Adding to 101022221102022 its reverse (220201122220101), we get a palindrome (321223343322123).

The spelling of 101022221102022 in words is "one hundred one trillion, twenty-two billion, two hundred twenty-one million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1153 2306 3459 5417 6918 10377 10834 12683 16251 20754 25366 32502 38049 48753 59587 76098 81689 97506 114147 119174 163378 178761 228294 245067 357522 490134 536283 735201 898579 1072566 1470402 1797158 2695737 5391474 6245801 8087211 12491602 16174422 18737403 37474806 56212209 68703811 94187417 112424418 137407622 188374834 206111433 282562251 412222866 442509313 565124502 618334299 847686753 885018626 1036061587 1236668598 1327527939 1695373506 2072123174 2655055878 3108184761 3982583817 4867602443 6216369522 7965167634 9324554283 9735204886 14602807329 18649108566 29205614658 43808421987 87616843974 510213237889 1020426475778 1530639713667 3061279427334 4591919141001 5612345616779 9183838282002 11224691233558 16837036850337 33674073700674 50511110551011 101022221102022