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122022010000101 = 33111042931188149
BaseRepresentation
bin11011101111101001110110…
…100011111001001011100101
3121000001012010200022201221110
4123233221312203321023211
5111443202034030000401
61111304045412335233
734462541105460561
oct3357516643711345
9530035120281843
10122022010000101
11359752755a0922
1211828824314519
13531181a904933
14221bc7ab446a1
15e19114a899d6
hex6efa768f92e5

122022010000101 has 16 divisors (see below), whose sum is σ = 167944565260800. Its totient is φ = 78723739872960.

The previous prime is 122022010000087. The next prime is 122022010000127. The reversal of 122022010000101 is 101000010220221.

It is not a de Polignac number, because 122022010000101 - 27 = 122022009999973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122022010000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102105175 + ... + 103293323.

It is an arithmetic number, because the mean of its divisors is an integer number (10496535328800).

Almost surely, 2122022010000101 is an apocalyptic number.

It is an amenable number.

122022010000101 is a deficient number, since it is larger than the sum of its proper divisors (45922555260699).

122022010000101 is a wasteful number, since it uses less digits than its factorization.

122022010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292476.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122022010000101 its reverse (101000010220221), we get a palindrome (223022020220322).

The spelling of 122022010000101 in words is "one hundred twenty-two trillion, twenty-two billion, ten million, one hundred one", and thus it is an aban number.

Divisors: 1 3 31 93 1104293 1188149 3312879 3564447 34233083 36832619 102699249 110497857 1312064623657 3936193870971 40674003333367 122022010000101