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10311220122021 = 32713532083114041
BaseRepresentation
bin1001011000001100010010…
…0111001101000110100101
31100111202001122210112110100
42112003010213031012211
52322414334322401041
633532524212214313
72112650434624650
oct226030447150645
940452048715410
1010311220122021
113315a66a45035
1211a647290a399
1359a461692890
142790cc480897
1512d3426726b6
hex960c49cd1a5

10311220122021 has 96 divisors (see below), whose sum is σ = 18686057225472. Its totient is φ = 5333656273920.

The previous prime is 10311220122011. The next prime is 10311220122101. The reversal of 10311220122021 is 12022102211301.

10311220122021 is a `hidden beast` number, since 10 + 311 + 220 + 122 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 10311220122021 - 26 = 10311220121957 is a prime.

It is a super-2 number, since 2×103112201220212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10311220121985 and 10311220122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311220122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90359761 + ... + 90473801.

It is an arithmetic number, because the mean of its divisors is an integer number (194646429432).

Almost surely, 210311220122021 is an apocalyptic number.

It is an amenable number.

10311220122021 is a deficient number, since it is larger than the sum of its proper divisors (8374837103451).

10311220122021 is a wasteful number, since it uses less digits than its factorization.

10311220122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116203 (or 116200 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10311220122021 its reverse (12022102211301), we get a palindrome (22333322333322).

The spelling of 10311220122021 in words is "ten trillion, three hundred eleven billion, two hundred twenty million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 7 9 13 21 39 53 63 91 117 159 273 371 477 689 819 1113 2067 2083 3339 4823 6201 6249 14469 14581 18747 27079 43407 43743 81237 110399 114041 131229 189553 243711 331197 342123 568659 772793 798287 993591 1026369 1435187 1482533 1705977 2318379 2394861 4305561 4447599 6044173 6955137 7184583 10046309 10377731 12916683 13342797 18132519 30138927 31133193 42309211 54397557 78574249 90416781 93399579 126927633 235722747 237547403 380782899 550019743 707168241 712642209 1650059229 1662831821 2137926627 3088116239 4950177687 4988495463 9264348717 12590012359 14965486389 21616813673 27793046151 37770037077 64850441019 88130086513 113310111231 163670160667 194551323057 264390259539 491010482001 793170778617 1145691124669 1473031446003 3437073374007 10311220122021