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131303001230023 = 7329127425324439
BaseRepresentation
bin11101110110101101011100…
…101111110000101011000111
3122012220102222220201000121111
4131312231130233300223013
5114202232021303330043
61143131433244225451
736441220526341000
oct3566553457605307
9565812886630544
10131303001230023
113892332114aa07
121288749953b287
135835a873a497c
14245d1561901a7
15102a75bc0709d
hex776b5cbf0ac7

131303001230023 has 64 divisors (see below), whose sum is σ = 159694479360000. Its totient is φ = 107779167119232.

The previous prime is 131303001229993. The next prime is 131303001230039. The reversal of 131303001230023 is 320032100303131.

It is a de Polignac number, because none of the positive numbers 2k-131303001230023 is a prime.

It is a super-2 number, since 2×1313030012300232 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131303001229976 and 131303001230003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303001230123) 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, 5372670838 + ... + 5372695276.

It is an arithmetic number, because the mean of its divisors is an integer number (2495226240000).

Almost surely, 2131303001230023 is an apocalyptic number.

131303001230023 is a deficient number, since it is larger than the sum of its proper divisors (28391478129977).

131303001230023 is a wasteful number, since it uses less digits than its factorization.

131303001230023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28869 (or 28855 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 131303001230023 its reverse (320032100303131), we get a palindrome (451335101533154).

The spelling of 131303001230023 in words is "one hundred thirty-one trillion, three hundred three billion, one million, two hundred thirty thousand, twenty-three".

Divisors: 1 7 29 49 127 203 343 889 1421 3683 4253 6223 9947 24439 25781 29771 43561 123337 171073 180467 208397 540131 708731 863359 1197511 1263269 1458779 3103753 3780917 4961117 6043513 8382577 15663799 21726271 26466419 34727819 42304591 90008837 103939067 109646593 152083897 185264933 243094733 630061859 727573469 767526151 1064587279 3014232943 4410433013 5093014283 5372683057 13200261509 21099630601 30873031091 35651099981 92401830563 147697414207 382807583761 646812813941 1033881899449 2679653086327 4527689697587 18757571604289 131303001230023