Search a number
-
+
31322132302023 = 342771621861199
BaseRepresentation
bin1110001111100110000001…
…00100011100100011000111
311002220100220020212122110000
413013303000210130203013
513101140211332131043
6150341104450532343
76411643431465513
oct707630044344307
9132810806778400
1031322132302023
119a86707133342
12361a5328970b3
1314628838cbb94
147a3ddc0b5143
15394b61c632d3
hex1c7cc091c8c7

31322132302023 has 40 divisors (see below), whose sum is σ = 46987791963200. Its totient is φ = 20793177887040.

The previous prime is 31322132302003. The next prime is 31322132302063. The reversal of 31322132302023 is 32020323122313.

31322132302023 is a `hidden beast` number, since 3 + 1 + 3 + 221 + 3 + 230 + 202 + 3 = 666.

It is not a de Polignac number, because 31322132302023 - 28 = 31322132301767 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31322132302003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35939778 + ... + 36800976.

It is an arithmetic number, because the mean of its divisors is an integer number (1174694799080).

Almost surely, 231322132302023 is an apocalyptic number.

31322132302023 is a deficient number, since it is larger than the sum of its proper divisors (15665659661177).

31322132302023 is a wasteful number, since it uses less digits than its factorization.

31322132302023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863109 (or 863100 counting only the distinct ones).

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

Adding to 31322132302023 its reverse (32020323122313), we get a palindrome (63342455424336).

The spelling of 31322132302023 in words is "thirty-one trillion, three hundred twenty-two billion, one hundred thirty-two million, three hundred two thousand, twenty-three".

Divisors: 1 3 9 27 81 277 831 1621 2493 4863 7479 14589 22437 43767 131301 449017 861199 1347051 2583597 4041153 7750791 12123459 23252373 36370377 69757119 238552123 715656369 1396003579 2146969107 4188010737 6440907321 12564032211 19322721963 37692096633 113076289899 386692991383 1160078974149 3480236922447 10440710767341 31322132302023