Search a number
-
+
132131234212131 = 37111930105088679
BaseRepresentation
bin11110000010110000110011…
…010001110110100100100011
3122022211121210220011212010010
4132002300303101312210203
5114304314231424242011
61145004130115340003
736555111105463140
oct3602606321664443
9568747726155103
10132131234212131
11391125a6070a70
121299bb02bb1603
135895bca6037cb
14248b285dd13c7
1510420839321a6
hex782c33476923

132131234212131 has 32 divisors (see below), whose sum is σ = 231207081062400. Its totient is φ = 65026991544480.

The previous prime is 132131234212121. The next prime is 132131234212163. The reversal of 132131234212131 is 131212432131231.

It is not a de Polignac number, because 132131234212131 - 26 = 132131234212067 is a prime.

It is a super-2 number, since 2×1321312342121312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132131234212121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15052539951 + ... + 15052548728.

It is an arithmetic number, because the mean of its divisors is an integer number (7225221283200).

Almost surely, 2132131234212131 is an apocalyptic number.

132131234212131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132131234212131 is a deficient number, since it is larger than the sum of its proper divisors (99075846850269).

132131234212131 is a wasteful number, since it uses less digits than its factorization.

132131234212131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30105088719.

The product of its digits is 5184, while the sum is 30.

Adding to 132131234212131 its reverse (131212432131231), we get a palindrome (263343666343362).

The spelling of 132131234212131 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, two hundred thirty-four million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 30105088679 90315266037 210735620753 331155975469 571996684901 632206862259 993467926407 1715990054703 2318091828283 4003976794307 6291963533911 6954275484849 12011930382921 18875890601733 44043744737377 132131234212131