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131010413424423 = 313171499711365799
BaseRepresentation
bin11101110010011100111101…
…001001110110111100100111
3122011212110202222010111001220
4131302130331021312330213
5114132433311314040143
61142345204132151423
736411122114125461
oct3562347511667447
9564773688114056
10131010413424423
1138820227a42005
121283a842468573
1358142c909cc10
14244cd1b625131
151022d35133d83
hex77273d276f27

131010413424423 has 64 divisors (see below), whose sum is σ = 200726709120000. Its totient is φ = 75292400977920.

The previous prime is 131010413424409. The next prime is 131010413424437. The reversal of 131010413424423 is 324424314010131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131010413424409) and next prime (131010413424437).

It is not a de Polignac number, because 131010413424423 - 225 = 131010379869991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010413424493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95239278 + ... + 96605076.

It is an arithmetic number, because the mean of its divisors is an integer number (3136354830000).

Almost surely, 2131010413424423 is an apocalyptic number.

131010413424423 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131010413424423 is a deficient number, since it is larger than the sum of its proper divisors (69716295695577).

131010413424423 is a wasteful number, since it uses less digits than its factorization.

131010413424423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366952.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 131010413424423 its reverse (324424314010131), we get a palindrome (455434727434554).

The spelling of 131010413424423 in words is "one hundred thirty-one trillion, ten billion, four hundred thirteen million, four hundred twenty-four thousand, four hundred twenty-three".

Divisors: 1 3 13 17 39 51 149 221 447 663 971 1937 2533 2913 5811 7599 12623 16507 32929 37869 49521 98787 144679 214591 434037 643773 1365799 1880827 2459543 4097397 5642481 7378629 17755387 23218583 31974059 53266161 69655749 95922177 203504051 301841579 610512153 905524737 1326190829 2645552663 3459568867 3978572487 7936657989 10378706601 17240480777 22545244093 44974395271 51721442331 67635732279 134923185813 197602433521 293088173209 592807300563 879264519627 2568831635773 3359241369857 7706494907319 10077724109571 43670137808141 131010413424423