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20112141234031 = 72112411031315013
BaseRepresentation
bin1001001001010101110010…
…00010001010111101101111
32122012200221200222102220221
410210222321002022331233
510114004131123442111
6110435220133552211
74144024415544100
oct444527102127557
978180850872827
1020112141234031
116454569449a50
122309a4b4a5667
13b2b74a2a7c12
144d760b9823a7
1524d269e3d371
hex124ab908af6f

20112141234031 has 48 divisors (see below), whose sum is σ = 25632738461088. Its totient is φ = 15604217395200.

The previous prime is 20112141233969. The next prime is 20112141234103. The reversal of 20112141234031 is 13043214121102.

It is not a de Polignac number, because 20112141234031 - 221 = 20112139136879 is a prime.

It is a super-2 number, since 2×201121412340312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20112141233987 and 20112141234005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112141231031) 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 47 ways as a sum of consecutive naturals, for example, 1339640881 + ... + 1339655893.

It is an arithmetic number, because the mean of its divisors is an integer number (534015384606).

Almost surely, 220112141234031 is an apocalyptic number.

20112141234031 is a deficient number, since it is larger than the sum of its proper divisors (5520597227057).

20112141234031 is a wasteful number, since it uses less digits than its factorization.

20112141234031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25592 (or 25585 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 20112141234031 its reverse (13043214121102), we get a palindrome (33155355355133).

The spelling of 20112141234031 in words is "twenty trillion, one hundred twelve billion, one hundred forty-one million, two hundred thirty-four thousand, thirty-one".

Divisors: 1 7 11 49 77 241 539 1687 2651 10313 11809 15013 18557 72191 105091 113443 129899 165143 505337 735637 794101 1156001 2485433 3618133 5558707 8092007 17398031 25326931 27339763 39799463 121786217 154829069 177288517 191378341 278596241 1083803483 1339648387 1703119759 1950173687 7586624381 11921838313 37313805629 83452868191 261196639403 410451861919 1828376475821 2873163033433 20112141234031