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20101202022 = 23116117927893
BaseRepresentation
bin10010101110001000…
…000000000001100110
31220212212221212022210
4102232020000001212
5312131401431042
613122342304250
71311061253346
oct225610000146
956785855283
1020101202022
118585671660
123a8ba28086
131b8464c5a5
14d8990ad26
157c9aaba9c
hex4ae200066

20101202022 has 64 divisors (see below), whose sum is σ = 44826773760. Its totient is φ = 5957731200.

The previous prime is 20101202021. The next prime is 20101202027. The reversal of 20101202022 is 22020210102.

It is a junction number, because it is equal to n+sod(n) for n = 20101201989 and 20101202007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706708 + ... + 734600.

It is an arithmetic number, because the mean of its divisors is an integer number (700418340).

Almost surely, 220101202022 is an apocalyptic number.

20101202022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22413386880).

20101202022 is an abundant number, since it is smaller than the sum of its proper divisors (24725571738).

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

20101202022 is a wasteful number, since it uses less digits than its factorization.

20101202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28149.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20101202022 its reverse (22020210102), we get a palindrome (42121412124).

The spelling of 20101202022 in words is "twenty billion, one hundred one million, two hundred two thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 61 66 122 179 183 358 366 537 671 1074 1342 1969 2013 3938 4026 5907 10919 11814 21838 27893 32757 55786 65514 83679 120109 167358 240218 306823 360327 613646 720654 920469 1701473 1840938 3402946 4992847 5104419 9985694 10208838 14978541 18716203 29957082 37432406 54921317 56148609 109842634 112297218 164763951 304563667 329527902 609127334 913691001 1827382002 3350200337 6700400674 10050601011 20101202022