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21201012111012 = 22319312241747827
BaseRepresentation
bin1001101001000001111101…
…10010111011011010100100
32210001210111222122011221020
410310200332302323122210
510234324133100023022
6113031335511451140
74315502562356616
oct464407662733244
983053458564836
1021201012111012
11683433169a108
122464a94086ab0
13baa3294892a6
145341c4d66db6
1526b74884635c
hex13483ecbb6a4

21201012111012 has 48 divisors (see below), whose sum is σ = 49729473162432. Its totient is φ = 7029803704320.

The previous prime is 21201012111001. The next prime is 21201012111023. The reversal of 21201012111012 is 21011121010212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21201012111001) and next prime (21201012111023).

It is a super-2 number, since 2×212010121110122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21201012110982 and 21201012111000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27976243 + ... + 28724069.

It is an arithmetic number, because the mean of its divisors is an integer number (1036030690884).

Almost surely, 221201012111012 is an apocalyptic number.

It is an amenable number.

21201012111012 is an abundant number, since it is smaller than the sum of its proper divisors (28528461051420).

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

21201012111012 is a wasteful number, since it uses less digits than its factorization.

21201012111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760268 (or 760266 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 21201012111012 its reverse (21011121010212), we get a palindrome (42212133121224).

The spelling of 21201012111012 in words is "twenty-one trillion, two hundred one billion, twelve million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 193 386 579 772 1158 2316 12241 24482 36723 48964 73446 146892 747827 1495654 2243481 2362513 2991308 4486962 4725026 7087539 8973924 9450052 14175078 28350156 144330611 288661222 432991833 577322444 865983666 1731967332 9154150307 18308300614 27462450921 36616601228 54924901842 109849803684 1766751009251 3533502018502 5300253027753 7067004037004 10600506055506 21201012111012