Search a number
-
+
33020123133213 = 3223743214693813
BaseRepresentation
bin1111000001000000110001…
…01101011011010100011101
311022220200201011012010012100
413200200120231123110131
513312000203010230323
6154121122443155313
76645424301431206
oct740403055332435
9138820634163170
1033020123133213
11a580834748637
123853630515b39
131556a26cc9b68
1482227aa5c5ad
153c3de0eac943
hex1e0818b5b51d

33020123133213 has 24 divisors (see below), whose sum is σ = 49836445656192. Its totient is φ = 21027970722528.

The previous prime is 33020123133161. The next prime is 33020123133251. The reversal of 33020123133213 is 31233132102033.

33020123133213 is a `hidden beast` number, since 3 + 3 + 0 + 20 + 1 + 2 + 313 + 321 + 3 = 666.

It is not a de Polignac number, because 33020123133213 - 210 = 33020123132189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33020123133713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107193106 + ... + 107500707.

It is an arithmetic number, because the mean of its divisors is an integer number (2076518569008).

Almost surely, 233020123133213 is an apocalyptic number.

It is an amenable number.

33020123133213 is a deficient number, since it is larger than the sum of its proper divisors (16816322522979).

33020123133213 is a wasteful number, since it uses less digits than its factorization.

33020123133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214694585 (or 214694582 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 33020123133213 its reverse (31233132102033), we get a palindrome (64253255235246).

The spelling of 33020123133213 in words is "thirty-three trillion, twenty billion, one hundred twenty-three million, one hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 23 69 207 743 2229 6687 17089 51267 153801 214693813 644081439 1932244317 4937957699 14813873097 44441619291 159517503059 478552509177 1435657527531 3668902570357 11006707711071 33020123133213