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101012110220220 = 22352373197181319
BaseRepresentation
bin10110111101111010110110…
…111100101001101110111100
3111020122122220122020212211120
4112331322312330221232330
5101214440300204021340
6554500153421150540
730163612154104623
oct2675726674515674
9436578818225746
10101012110220220
112a204aa4925831
12b3b49a73bb450
13444952a357964
141ad30257686ba
15ba28542c94d0
hex5bdeb6f29bbc

101012110220220 has 48 divisors (see below), whose sum is σ = 295131035082240. Its totient is φ = 25765407823936.

The previous prime is 101012110220209. The next prime is 101012110220221. The reversal of 101012110220220 is 22022011210101.

It is a super-2 number, since 2×1010121102202202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101012110220220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012110220221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36598589280 + ... + 36598592039.

It is an arithmetic number, because the mean of its divisors is an integer number (6148563230880).

Almost surely, 2101012110220220 is an apocalyptic number.

101012110220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012110220220 is an abundant number, since it is smaller than the sum of its proper divisors (194118924862020).

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

101012110220220 is a wasteful number, since it uses less digits than its factorization.

101012110220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73197181354 (or 73197181352 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101012110220220 its reverse (22022011210101), we get a palindrome (123034121430321).

The spelling of 101012110220220 in words is "one hundred one trillion, twelve billion, one hundred ten million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 73197181319 146394362638 219591543957 292788725276 365985906595 439183087914 731971813190 878366175828 1097957719785 1463943626380 1683535170337 2195915439570 3367070340674 4391830879140 5050605511011 6734140681348 8417675851685 10101211022022 16835351703370 20202422044044 25253027555055 33670703406740 50506055110110 101012110220220