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20021002122 = 23111272778623
BaseRepresentation
bin10010101001010110…
…000011111110001010
31220200022001021202010
4102221112003332022
5312000334031442
613110355320350
71306065465402
oct225126037612
956608037663
1020021002122
118544374250
123a68bb00b6
131b70b4c224
14d7cdd1802
157c2a18b9c
hex4a9583f8a

20021002122 has 64 divisors (see below), whose sum is σ = 44190203904. Its totient is φ = 5996773440.

The previous prime is 20021002117. The next prime is 20021002159. The reversal of 20021002122 is 22120012002.

It is a junction number, because it is equal to n+sod(n) for n = 20021002098 and 20021002107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2317503 + ... + 2326125.

It is an arithmetic number, because the mean of its divisors is an integer number (690471936).

Almost surely, 220021002122 is an apocalyptic number.

20021002122 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 20021002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22095101952).

20021002122 is an abundant number, since it is smaller than the sum of its proper divisors (24169201782).

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

20021002122 is a wasteful number, since it uses less digits than its factorization.

20021002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9043.

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

Adding to 20021002122 its reverse (22120012002), we get a palindrome (42141014124).

The spelling of 20021002122 in words is "twenty billion, twenty-one million, two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 127 254 277 381 554 762 831 1397 1662 2794 3047 4191 6094 8382 8623 9141 17246 18282 25869 35179 51738 70358 94853 105537 189706 211074 284559 386969 569118 773938 1095121 1160907 2190242 2321814 2388571 3285363 4777142 6570726 7165713 12046331 14331426 24092662 26274281 36138993 52548562 72277986 78822843 157645686 303348517 606697034 910045551 1820091102 3336833687 6673667374 10010501061 20021002122