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21131220312033 = 3131928517166413
BaseRepresentation
bin1001100110111111111101…
…11000010101111111100001
32202211010101002001110011120
410303133332320111333201
510232203214344441113
6112535314255202453
74310452224022206
oct463377670257741
982733332043146
1021131220312033
116807777a815a7
122453456b16429
13ba388620aa10
14530a83c69cad
15269a1165ea23
hex1337fee15fe1

21131220312033 has 16 divisors (see below), whose sum is σ = 31939226383680. Its totient is φ = 12319415889984.

The previous prime is 21131220312023. The next prime is 21131220312043. The reversal of 21131220312033 is 33021302213112.

It is an interprime number because it is at equal distance from previous prime (21131220312023) and next prime (21131220312043).

It is not a de Polignac number, because 21131220312033 - 214 = 21131220295649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21131220311994 and 21131220312012.

It is not an unprimeable number, because it can be changed into a prime (21131220312023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14258582466 + ... + 14258583947.

It is an arithmetic number, because the mean of its divisors is an integer number (1996201648980).

Almost surely, 221131220312033 is an apocalyptic number.

It is an amenable number.

21131220312033 is a deficient number, since it is larger than the sum of its proper divisors (10808006071647).

21131220312033 is a wasteful number, since it uses less digits than its factorization.

21131220312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28517166448.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21131220312033 its reverse (33021302213112), we get a palindrome (54152522525145).

The spelling of 21131220312033 in words is "twenty-one trillion, one hundred thirty-one billion, two hundred twenty million, three hundred twelve thousand, thirty-three".

Divisors: 1 3 13 19 39 57 247 741 28517166413 85551499239 370723163369 541826161847 1112169490107 1625478485541 7043740104011 21131220312033