Search a number
-
+
32113213321122 = 2328068122112609
BaseRepresentation
bin1110100110100111100001…
…01011000010111110100010
311012200222211001101012201200
413103103300223002332202
513202120330102233442
6152144335002342030
76523050235266003
oct723236053027642
9135628731335650
1032113213321122
11a26115680373a
12372790a1ba916
1314bc355b2445b
147d0405ab51aa
153aa51202e34c
hex1d34f0ac2fa2

32113213321122 has 24 divisors (see below), whose sum is σ = 69579494400780. Its totient is φ = 10704271280640.

The previous prime is 32113213321003. The next prime is 32113213321127. The reversal of 32113213321122 is 22112331231123.

32113213321122 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 3 + 213 + 321 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25044309616041 + 7068903705081 = 5004429^2 + 2658741^2 .

It is a super-3 number, since 3×321132133211223 (a number of 41 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32113213321127) 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 11 ways as a sum of consecutive naturals, for example, 9604047 + ... + 12508562.

Almost surely, 232113213321122 is an apocalyptic number.

32113213321122 is an abundant number, since it is smaller than the sum of its proper divisors (37466281079658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32113213321122 is a wasteful number, since it uses less digits than its factorization.

32113213321122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22193298 (or 22193295 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 32113213321122 its reverse (22112331231123), we get a palindrome (54225544552245).

The spelling of 32113213321122 in words is "thirty-two trillion, one hundred thirteen billion, two hundred thirteen million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 80681 161362 242043 484086 726129 1452258 22112609 44225218 66337827 132675654 199013481 398026962 1784067406729 3568134813458 5352202220187 10704404440374 16056606660561 32113213321122