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12010022001021 = 31117711012985391
BaseRepresentation
bin1010111011000100110100…
…0110000101100101111101
31120112010222002020111122110
42232301031012011211331
53033233011113013041
641313154500204233
72346460353426252
oct256611506054575
946463862214573
1012010022001021
113910470356580
12141b758099679
13691703b111c5
142d7406a2b429
1515c61cbc7516
hexaec4d18597d

12010022001021 has 64 divisors (see below), whose sum is σ = 18942957084672. Its totient is φ = 6687273600000.

The previous prime is 12010022001011. The next prime is 12010022001041.

12010022001021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12010022001021 - 223 = 12010013612413 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12010022000988 and 12010022001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010022001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2530236 + ... + 5515626.

It is an arithmetic number, because the mean of its divisors is an integer number (295983704448).

Almost surely, 212010022001021 is an apocalyptic number.

12010022001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12010022001021 is a deficient number, since it is larger than the sum of its proper divisors (6932935083651).

12010022001021 is a wasteful number, since it uses less digits than its factorization.

12010022001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985594.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1201002 and 2001021, that added together give a palindrome (3202023).

The spelling of 12010022001021 in words is "twelve trillion, ten billion, twenty-two million, one thousand, twenty-one".

Divisors: 1 3 11 17 33 51 71 101 187 213 303 561 781 1111 1207 1717 2343 3333 3621 5151 7171 13277 18887 21513 39831 56661 78881 121907 236643 365721 1340977 2985391 4022931 8956173 32839301 50751647 98517903 152254941 211962761 301524491 558268117 635888283 904573473 1674804351 2331590371 3316769401 3603366937 5125916347 6994771113 9950308203 10810100811 15377749041 21408238861 39637036307 56385079817 64224716583 118911108921 169155239451 235490627471 363940060637 706471882413 1091820181911 4003340667007 12010022001021