Search a number
-
+
2133302023431 = 33292724523657
BaseRepresentation
bin11111000010110010101…
…101011001010100000111
321112221102111010021012000
4133002302231121110013
5234423000304222211
64312005254000343
7310061133002625
oct37026255312407
97487374107160
102133302023431
11752801416aa7
122a55466460b3
13126228579207
1475376700515
153a75ab93656
hex1f0b2b59507

2133302023431 has 16 divisors (see below), whose sum is σ = 3269428389600. Its totient is φ = 1373159922624.

The previous prime is 2133302023381. The next prime is 2133302023469. The reversal of 2133302023431 is 1343202033312.

2133302023431 is a `hidden beast` number, since 2 + 13 + 3 + 302 + 0 + 2 + 343 + 1 = 666.

It is not a de Polignac number, because 2133302023431 - 215 = 2133301990663 is a prime.

It is a super-3 number, since 3×21333020234313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2133302023395 and 2133302023404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133302023031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1362261046 + ... + 1362262611.

It is an arithmetic number, because the mean of its divisors is an integer number (204339274350).

Almost surely, 22133302023431 is an apocalyptic number.

2133302023431 is a deficient number, since it is larger than the sum of its proper divisors (1136126366169).

2133302023431 is a wasteful number, since it uses less digits than its factorization.

2133302023431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724523695 (or 2724523689 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2133302023431 its reverse (1343202033312), we get a palindrome (3476504056743).

The spelling of 2133302023431 in words is "two trillion, one hundred thirty-three billion, three hundred two million, twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 29 87 261 783 2724523657 8173570971 24520712913 73562138739 79011186053 237033558159 711100674477 2133302023431