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101122421223 = 31767266311113
BaseRepresentation
bin101111000101101011…
…1011011000111100111
3100200000101200020201010
41132023113123013213
53124044314434343
6114242140233303
710206623253405
oct1361327330747
9320011606633
10101122421223
1139981a7484a
121772183b833
1396c7210905
144c74158475
15296ca4dd33
hex178b5db1e7

101122421223 has 32 divisors (see below), whose sum is σ = 144959279616. Its totient is φ = 62473264128.

The previous prime is 101122421177. The next prime is 101122421233. The reversal of 101122421223 is 322124221101.

It is a happy number.

It is not a de Polignac number, because 101122421223 - 210 = 101122420199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101122421223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122421233) 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 31 ways as a sum of consecutive naturals, for example, 9093915 + ... + 9105027.

It is an arithmetic number, because the mean of its divisors is an integer number (4529977488).

Almost surely, 2101122421223 is an apocalyptic number.

101122421223 is a deficient number, since it is larger than the sum of its proper divisors (43836858393).

101122421223 is a wasteful number, since it uses less digits than its factorization.

101122421223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13863.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101122421223 its reverse (322124221101), we get a palindrome (423246642324).

The spelling of 101122421223 in words is "one hundred one billion, one hundred twenty-two million, four hundred twenty-one thousand, two hundred twenty-three".

Divisors: 1 3 17 51 67 201 1139 2663 3417 7989 11113 33339 45271 135813 178421 188921 535263 566763 744571 2233713 3033157 9099471 12657707 29593919 37973121 88781757 503096623 1509289869 1982792573 5948377719 33707473741 101122421223