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131223242322131 = 17437313717949401
BaseRepresentation
bin11101110101100011001010…
…101111101011000011010011
3122012121211010101020200210212
4131311203022233223003103
5114144430200013302011
61143031043022114335
736432365162660561
oct3565431257530323
9565554111220725
10131223242322131
11388a2512342a03
1212873b3a41b9ab
13582b3b61b3b0b
14245934b452a31
15102863e9ad08b
hex7758cabeb0d3

131223242322131 has 32 divisors (see below), whose sum is σ = 145173040233408. Its totient is φ = 118111072665600.

The previous prime is 131223242322127. The next prime is 131223242322149.

131223242322131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131223242322131 - 22 = 131223242322127 is a prime.

It is a super-3 number, since 3×1312232423221313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131223242322181) 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, 1663970 + ... + 16285431.

It is an arithmetic number, because the mean of its divisors is an integer number (4536657507294).

Almost surely, 2131223242322131 is an apocalyptic number.

131223242322131 is a deficient number, since it is larger than the sum of its proper divisors (13949797911277).

131223242322131 is a wasteful number, since it uses less digits than its factorization.

131223242322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17949671.

The product of its digits is 20736, while the sum is 32.

The spelling of 131223242322131 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, two hundred forty-two million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 17 43 73 137 731 1241 2329 3139 5891 10001 53363 100147 170017 430043 7310731 17949401 305139817 771824243 1310306273 2459067937 13121012131 22275206641 41804154929 56343169739 105739921291 179511959401 957833885563 1797578661947 3051703309817 7719014254243 131223242322131