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101021112220 = 225719910313517
BaseRepresentation
bin101111000010101010…
…0111101011110011100
3100122202100001012212211
41132011110331132130
53123342401042340
6114224121010204
710204253200030
oct1360524753634
9318670035784
10101021112220
113992a8698a6
12176b3923964
1396ac22c362
144c649061c0
152963bdb5ea
hex178553d79c

101021112220 has 96 divisors (see below), whose sum is σ = 243974707200. Its totient is φ = 34418545920.

The previous prime is 101021112167. The next prime is 101021112221. The reversal of 101021112220 is 22211120101.

101021112220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010211122202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101021112220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021112221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28721902 + ... + 28725418.

It is an arithmetic number, because the mean of its divisors is an integer number (2541403200).

Almost surely, 2101021112220 is an apocalyptic number.

101021112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121987353600).

101021112220 is an abundant number, since it is smaller than the sum of its proper divisors (142953594980).

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

101021112220 is a wasteful number, since it uses less digits than its factorization.

101021112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101021112220 its reverse (22211120101), we get a palindrome (123232232321).

The spelling of 101021112220 in words is "one hundred one billion, twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 398 796 995 1031 1393 1990 2062 2786 3517 3980 4124 5155 5572 6965 7034 7217 10310 13930 14068 14434 17585 20620 24619 27860 28868 35170 36085 49238 70340 72170 98476 123095 144340 205169 246190 410338 492380 699883 820676 1025845 1399766 1436183 2051690 2799532 2872366 3499415 3626027 4103380 4899181 5744732 6998830 7180915 7252054 9798362 13997660 14361830 14504108 18130135 19596724 24495905 25382189 28723660 36260270 48991810 50764378 72520540 97983620 101528756 126910945 253821890 507643780 721579373 1443158746 2886317492 3607896865 5051055611 7215793730 10102111222 14431587460 20204222444 25255278055 50510556110 101021112220