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20111220120033 = 3273975521145643
BaseRepresentation
bin1001001001010100000100…
…01000011001100111100001
32122012121120111202000001200
410210222002020121213201
510114000234322320113
6110434544511151413
74143662532316410
oct444520210314741
978177514660050
1020111220120033
116454136506409
122309832b15569
13b2b6314cb053
144d75614cb477
1524d214140873
hex124a822199e1

20111220120033 has 48 divisors (see below), whose sum is σ = 33289357385856. Its totient is φ = 11461023383040.

The previous prime is 20111220120031. The next prime is 20111220120049. The reversal of 20111220120033 is 33002102211102.

20111220120033 is a `hidden beast` number, since 201 + 11 + 220 + 1 + 200 + 33 = 666.

It is not a de Polignac number, because 20111220120033 - 21 = 20111220120031 is a prime.

It is a super-2 number, since 2×201112201200332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20111220119988 and 20111220120015.

It is not an unprimeable number, because it can be changed into a prime (20111220120031) 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 47 ways as a sum of consecutive naturals, for example, 138012910 + ... + 138158552.

It is an arithmetic number, because the mean of its divisors is an integer number (693528278872).

Almost surely, 220111220120033 is an apocalyptic number.

It is an amenable number.

20111220120033 is a deficient number, since it is larger than the sum of its proper divisors (13178137265823).

20111220120033 is a wasteful number, since it uses less digits than its factorization.

20111220120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151574 (or 151571 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20111220120033 its reverse (33002102211102), we get a palindrome (53113322331135).

The spelling of 20111220120033 in words is "twenty trillion, one hundred eleven billion, two hundred twenty million, one hundred twenty thousand, thirty-three".

Divisors: 1 3 7 9 21 63 397 1191 2779 3573 5521 8337 16563 25011 38647 49689 115941 145643 347823 436929 1019501 1310787 2191837 3058503 6575511 9175509 15342859 19726533 46028577 57820271 138085731 173460813 404741897 520382439 804095003 1214225691 2412285009 3642677073 5628665021 7236855027 16885995063 50657985189 319225716191 957677148573 2234580013337 2873031445719 6703740040011 20111220120033