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2132113201333 = 23593599414651
BaseRepresentation
bin11111000001101011110…
…110011001100010110101
321112211100122010211211221
4133001223312121202311
5234413031434420313
64311251305230341
7310016516121163
oct37015366314265
97484318124757
102132113201333
117522513553a5
122a52744923b1
1312609919979b
14752a2880233
153a6db614c8d
hex1f06bd998b5

2132113201333 has 32 divisors (see below), whose sum is σ = 2271724185600. Its totient is φ = 1996707768000.

The previous prime is 2132113201303. The next prime is 2132113201367. The reversal of 2132113201333 is 3331023112312.

It is a cyclic number.

It is not a de Polignac number, because 2132113201333 - 29 = 2132113200821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2132113201298 and 2132113201307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132113201303) 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 31 ways as a sum of consecutive naturals, for example, 458418058 + ... + 458422708.

It is an arithmetic number, because the mean of its divisors is an integer number (70991380800).

Almost surely, 22132113201333 is an apocalyptic number.

2132113201333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2132113201333 is a deficient number, since it is larger than the sum of its proper divisors (139610984267).

2132113201333 is a wasteful number, since it uses less digits than its factorization.

2132113201333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 2132113201333 its reverse (3331023112312), we get a palindrome (5463136313645).

The spelling of 2132113201333 in words is "two trillion, one hundred thirty-two billion, one hundred thirteen million, two hundred one thousand, three hundred thirty-three".

Divisors: 1 23 59 359 941 1357 4651 8257 21181 21643 55519 106973 274409 337819 487163 1276937 1669709 4376591 6311407 7769837 19931321 38403307 98512831 100661593 258218869 458420383 1571196169 2265795113 5939033987 36137511887 92700573971 2132113201333