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131551311441 = 31122117512287
BaseRepresentation
bin111101010000100010…
…0011011011001010001
3110120120001000000212010
41322201010123121101
54123404113431231
6140233413053133
712334651461144
oct1724104333121
9416501000763
10131551311441
1150877316400
12215b43271a9
13c5363c10b4
14651d52805b
15364e146546
hex1ea111b651

131551311441 has 48 divisors (see below), whose sum is σ = 194053443584. Its totient is φ = 79209900000.

The previous prime is 131551311401. The next prime is 131551311461. The reversal of 131551311441 is 144113155131.

It is not a de Polignac number, because 131551311441 - 26 = 131551311377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131551311399 and 131551311408.

It is not an unprimeable number, because it can be changed into a prime (131551311401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57520200 + ... + 57522486.

Almost surely, 2131551311441 is an apocalyptic number.

131551311441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131551311441 is a deficient number, since it is larger than the sum of its proper divisors (62502132143).

131551311441 is a wasteful number, since it uses less digits than its factorization.

131551311441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3263 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

Adding to 131551311441 its reverse (144113155131), we get a palindrome (275664466572).

The spelling of 131551311441 in words is "one hundred thirty-one billion, five hundred fifty-one million, three hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 11 33 121 211 363 633 751 2253 2287 2321 6861 6963 8261 24783 25157 25531 75471 76593 90871 158461 272613 276727 475383 482557 830181 1447671 1717537 1743071 5152611 5229213 5308127 15924381 18892907 19173781 56678721 57521343 58389397 175168191 207821977 362400307 623465931 1087200921 3986403377 11959210131 43850437147 131551311441