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20123244333 = 322978419833
BaseRepresentation
bin10010101111011100…
…000101011100101101
31220221102102201200200
4102233130011130231
5312203022304313
613124450544113
71311446516553
oct225734053455
956842381620
1020123244333
118597057345
123a97298039
131b8909948a
14d8c807bd3
157cb9b2b73
hex4af70572d

20123244333 has 24 divisors (see below), whose sum is σ = 30076108920. Its totient is φ = 12949923840.

The previous prime is 20123244329. The next prime is 20123244359. The reversal of 20123244333 is 33344232102.

20123244333 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 324 + 4 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2228028804 + 17895215529 = 47202^2 + 133773^2 .

It is not a de Polignac number, because 20123244333 - 22 = 20123244329 is a prime.

It is a super-2 number, since 2×201232443332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20123244297 and 20123244306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123244373) 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 23 ways as a sum of consecutive naturals, for example, 2041585 + ... + 2051417.

It is an arithmetic number, because the mean of its divisors is an integer number (1253171205).

Almost surely, 220123244333 is an apocalyptic number.

It is an amenable number.

20123244333 is a deficient number, since it is larger than the sum of its proper divisors (9952864587).

20123244333 is a wasteful number, since it uses less digits than its factorization.

20123244333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17709 (or 17706 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20123244333 its reverse (33344232102), we get a palindrome (53467476435).

The spelling of 20123244333 in words is "twenty billion, one hundred twenty-three million, two hundred forty-four thousand, three hundred thirty-three".

Divisors: 1 3 9 29 87 261 7841 9833 23523 29499 70569 88497 227389 285157 682167 855471 2046501 2566413 77100553 231301659 693904977 2235916037 6707748111 20123244333