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132112310230131 = 371116334910053523
BaseRepresentation
bin11110000010011111001011…
…010100100101110001110011
3122022202210222001100222001220
4132002133023110211301303
5114304012002404331011
61144551320225000123
736553541130340020
oct3602371324456163
9568683861328056
10132112310230131
1139105574a67220
1212998301483043
1358941a2b30b1a
14248a3ac9a4547
1510418273b1506
hex7827cb525c73

132112310230131 has 64 divisors (see below), whose sum is σ = 221595754598400. Its totient is φ = 68013282752640.

The previous prime is 132112310230081. The next prime is 132112310230133. The reversal of 132112310230131 is 131032013211231.

It is not a de Polignac number, because 132112310230131 - 214 = 132112310213747 is a prime.

It is a super-2 number, since 2×1321123102301312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132112310230133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8114136 + ... + 18167658.

It is an arithmetic number, because the mean of its divisors is an integer number (3462433665600).

Almost surely, 2132112310230131 is an apocalyptic number.

132112310230131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132112310230131 is a deficient number, since it is larger than the sum of its proper divisors (89483444368269).

132112310230131 is a wasteful number, since it uses less digits than its factorization.

132112310230131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10054056.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 132112310230131 its reverse (131032013211231), we get a palindrome (263144323441362).

The spelling of 132112310230131 in words is "one hundred thirty-two trillion, one hundred twelve billion, three hundred ten million, two hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 163 231 349 489 1047 1141 1793 2443 3423 3839 5379 7329 11517 12551 26873 37653 56887 80619 170661 398209 625757 1194627 1877271 4380299 10053523 13140897 30160569 70374661 110588753 211123983 331766259 774121271 1638724249 2322363813 3508679527 4916172747 10526038581 11471069743 18025966739 24560756689 34413209229 38595474797 54077900217 73682270067 115786424391 126181767173 270168323579 378545301519 571914762901 810504970737 1715744288703 4003403340307 6291062391911 12010210020921 18873187175733 44037436743377 132112310230131