Search a number
-
+
20131433120333 = 2953101391291831
BaseRepresentation
bin1001001001111001101101…
…11010111000001001001101
32122021112202012001210210102
410210330312322320021031
510114313133334322313
6110452130330020445
74145306452064423
oct444746672701115
978245665053712
1020131433120333
116461769197737
122311734277725
13b30503062362
144d851bbbb113
1524d9e8932a58
hex124f36eb824d

20131433120333 has 16 divisors (see below), whose sum is σ = 21220665897600. Its totient is φ = 19068609618240.

The previous prime is 20131433120261. The next prime is 20131433120341. The reversal of 20131433120333 is 33302133413102.

It is a cyclic number.

It is not a de Polignac number, because 20131433120333 - 214 = 20131433103949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20131433120296 and 20131433120305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131433120363) 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 15 ways as a sum of consecutive naturals, for example, 14937728 + ... + 16229558.

It is an arithmetic number, because the mean of its divisors is an integer number (1326291618600).

Almost surely, 220131433120333 is an apocalyptic number.

It is an amenable number.

20131433120333 is a deficient number, since it is larger than the sum of its proper divisors (1089232777267).

20131433120333 is a wasteful number, since it uses less digits than its factorization.

20131433120333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302052.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 20131433120333 its reverse (33302133413102), we get a palindrome (53433566533435).

The spelling of 20131433120333 in words is "twenty trillion, one hundred thirty-one billion, four hundred thirty-three million, one hundred twenty thousand, three hundred thirty-three".

Divisors: 1 29 53 1537 10139 294031 537367 1291831 15583643 37463099 68467043 1985544247 13097874509 379838360761 694187348977 20131433120333