Search a number
-
+
332131042111231 = 11194322329136901
BaseRepresentation
bin100101110000100100100100…
…0110010001010111011111111
31121112222102021101100011210101
41023201021020302022323333
5322013113333240024411
63134214521103421531
7126646450562223016
oct11341111062127377
91545872241304711
10332131042111231
1196910a906a7040
1231301279bb48a7
1311342a90b428cc
145c0332a2cba7d
15285e755bc78c1
hex12e1248c8aeff

332131042111231 has 48 divisors (see below), whose sum is σ = 390497755178880. Its totient is φ = 279374077080000.

The previous prime is 332131042111199. The next prime is 332131042111261. The reversal of 332131042111231 is 132111240131233.

It is a happy number.

It is not a de Polignac number, because 332131042111231 - 25 = 332131042111199 is a prime.

It is a super-2 number, since 2×3321310421112312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 332131042111231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332131042111261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9000578881 + ... + 9000615781.

It is an arithmetic number, because the mean of its divisors is an integer number (8135369899560).

Almost surely, 2332131042111231 is an apocalyptic number.

332131042111231 is a deficient number, since it is larger than the sum of its proper divisors (58366713067649).

332131042111231 is a wasteful number, since it uses less digits than its factorization.

332131042111231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60308 (or 60265 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 332131042111231 its reverse (132111240131233), we get a palindrome (464242282242464).

The spelling of 332131042111231 in words is "three hundred thirty-two trillion, one hundred thirty-one billion, forty-two million, one hundred eleven thousand, two hundred thirty-one".

Divisors: 1 11 19 43 209 473 817 1849 8987 20339 23291 35131 36901 256201 386441 405911 442529 701119 1001513 1586743 4867819 7712309 11016643 17454173 19028747 30148117 43065059 68229949 209316217 331629287 473715649 750529439 818236121 859461191 1296369031 9000597331 9454073101 14260059341 16329762629 36956831213 179627388919 406525143343 702179793047 1589143742159 7723977723517 17480581163749 30193731101021 332131042111231