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101102212220022 = 232134129104640527
BaseRepresentation
bin10110111111001110110001…
…011100100000010001110110
3111020222021111000001201101100
4112333032301130200101312
5101222424312312020042
6555005414243510530
730203252032342656
oct2677166134402166
9436867430051340
10101102212220022
112a23a231083882
12b40a352388446
134454b89340a40
141ad7532018366
15ba4d795a324c
hex5bf3b1720476

101102212220022 has 48 divisors (see below), whose sum is σ = 235962297829440. Its totient is φ = 31100838575616.

The previous prime is 101102212220021. The next prime is 101102212220083. The reversal of 101102212220022 is 220022212201101.

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 = 101102212219977 and 101102212220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102212220021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51354078 + ... + 53286449.

It is an arithmetic number, because the mean of its divisors is an integer number (4915881204780).

Almost surely, 2101102212220022 is an apocalyptic number.

101102212220022 is an abundant number, since it is smaller than the sum of its proper divisors (134860085609418).

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

101102212220022 is a wasteful number, since it uses less digits than its factorization.

101102212220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104644677 (or 104644674 counting only the distinct ones).

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

Adding to 101102212220022 its reverse (220022212201101), we get a palindrome (321124424421123).

The spelling of 101102212220022 in words is "one hundred one trillion, one hundred two billion, two hundred twelve million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4129 8258 12387 24774 37161 53677 74322 107354 161031 322062 483093 966186 104640527 209281054 313921581 627843162 941764743 1360326851 1883529486 2720653702 4080980553 8161961106 12242941659 24485883318 432060735983 864121471966 1296182207949 2592364415898 3888546623847 5616789567779 7777093247694 11233579135558 16850368703337 33700737406674 50551106110011 101102212220022