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20010022011 = 32723293115361
BaseRepresentation
bin10010101000101100…
…001011010001111011
31220122112101102212100
4102220230023101323
5311440031201021
613105324114443
71305603244410
oct225054132173
956575342770
1020010022011
118539154781
123a65395a23
131b6b7a6515
14d7b774107
157c1a9a626
hex4a8b0b47b

20010022011 has 96 divisors (see below), whose sum is σ = 36809809920. Its totient is φ = 10218700800.

The previous prime is 20010022009. The next prime is 20010022037. The reversal of 20010022011 is 11022001002.

It is not a de Polignac number, because 20010022011 - 21 = 20010022009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

20010022011 is a modest number, since divided by 22011 gives 20010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 20010021984 and 20010022002.

It is not an unprimeable number, because it can be changed into a prime (20010022051) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1294971 + ... + 1310331.

It is an arithmetic number, because the mean of its divisors is an integer number (383435520).

Almost surely, 220010022011 is an apocalyptic number.

20010022011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20010022011 is a deficient number, since it is larger than the sum of its proper divisors (16799787909).

20010022011 is a wasteful number, since it uses less digits than its factorization.

20010022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15457 (or 15454 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20010022011 its reverse (11022001002), we get a palindrome (31032023013).

It can be divided in two parts, 200100 and 22011, that added together give a triangular number (222111 = T666).

The spelling of 20010022011 in words is "twenty billion, ten million, twenty-two thousand, eleven".

Divisors: 1 3 7 9 21 23 29 31 63 69 87 93 161 203 207 217 261 279 483 609 651 667 713 899 1449 1827 1953 2001 2139 2697 4669 4991 6003 6293 6417 8091 14007 14973 15361 18879 20677 42021 44919 46083 56637 62031 107527 138249 144739 186093 322581 353303 434217 445469 476191 967743 1059909 1302651 1336407 1428573 2473121 3118283 3179727 3333337 4009221 4285719 7419363 9354849 10000011 10245787 10952393 13809539 22258089 28064547 30000033 30737361 32857179 41428617 71720509 76666751 92212083 96666773 98571537 124285851 215161527 230000253 290000319 317619397 645484581 690000759 870000957 952858191 2223335779 2858574573 6670007337 20010022011