Search a number
-
+
31141332033 = 3759115321799
BaseRepresentation
bin11101000000001010…
…110000010001000001
32222101021220120120220
4131000022300101001
51002234140111113
622150042453253
72151465645330
oct350012602101
988337816526
1031141332033
1112230519749
126051204229
132c239879b6
141715c65d17
15c23e26523
hex7402b0441

31141332033 has 32 divisors (see below), whose sum is σ = 48301824000. Its totient is φ = 17477462016.

The previous prime is 31141332031. The next prime is 31141332043. The reversal of 31141332033 is 33023314113.

It is a happy number.

It is not a de Polignac number, because 31141332033 - 21 = 31141332031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31141331994 and 31141332012.

It is not an unprimeable number, because it can be changed into a prime (31141332031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417668 + ... + 1439466.

It is an arithmetic number, because the mean of its divisors is an integer number (1509432000).

Almost surely, 231141332033 is an apocalyptic number.

It is an amenable number.

31141332033 is a deficient number, since it is larger than the sum of its proper divisors (17160491967).

31141332033 is a wasteful number, since it uses less digits than its factorization.

31141332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23021.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31141332033 its reverse (33023314113), we get a palindrome (64164646146).

The spelling of 31141332033 in words is "thirty-one billion, one hundred forty-one million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 3 7 21 59 177 413 1153 1239 3459 8071 21799 24213 65397 68027 152593 204081 457779 476189 1286141 1428567 3858423 9002987 25134247 27008961 75402741 175939729 527819187 1482920573 4448761719 10380444011 31141332033