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20012101122 = 23131094215591
BaseRepresentation
bin10010101000110100…
…000110111000000010
31220122200022001212110
4102220310012320002
5311441044213442
613105440440150
71305630024066
oct225064067002
956580261773
1020012101122
11853a344852
123a66019056
131b6c053970
14d7bb55aa6
157c1d5b69c
hex4a8d06e02

20012101122 has 64 divisors (see below), whose sum is σ = 43609547520. Its totient is φ = 6085497600.

The previous prime is 20012101117. The next prime is 20012101129. The reversal of 20012101122 is 22110121002.

It is a junction number, because it is equal to n+sod(n) for n = 20012101098 and 20012101107.

It is not an unprimeable number, because it can be changed into a prime (20012101129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3576547 + ... + 3582137.

It is an arithmetic number, because the mean of its divisors is an integer number (681399180).

Almost surely, 220012101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20012101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21804773760).

20012101122 is an abundant number, since it is smaller than the sum of its proper divisors (23597446398).

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

20012101122 is a wasteful number, since it uses less digits than its factorization.

20012101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139.

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

Adding to 20012101122 its reverse (22110121002), we get a palindrome (42122222124).

The spelling of 20012101122 in words is "twenty billion, twelve million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 109 218 327 421 654 842 1263 1417 2526 2834 4251 5473 5591 8502 10946 11182 16419 16773 32838 33546 45889 72683 91778 137667 145366 218049 275334 436098 596557 609419 1193114 1218838 1789671 1828257 2353811 3579342 3656514 4707622 7061433 7922447 14122866 15844894 23767341 30599543 47534682 61199086 91798629 183597258 256565399 513130798 769696197 1539392394 3335350187 6670700374 10006050561 20012101122