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131010311022 = 23472713135477
BaseRepresentation
bin111101000000011010…
…0101011001101101110
3110112011100000100210120
41322000310223031232
54121302114423042
6140104005345410
712315362161353
oct1720064531556
9415140010716
10131010311022
11506199a5818
1221483108266
13c47b2b1cc6
1464ab73c62a
15361b8cedec
hex1e80d2b36e

131010311022 has 64 divisors (see below), whose sum is σ = 269490253824. Its totient is φ = 42439438080.

The previous prime is 131010310969. The next prime is 131010311023. The reversal of 131010311022 is 220113010131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131010310992 and 131010311010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010311023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23917348 + ... + 23922824.

It is an arithmetic number, because the mean of its divisors is an integer number (4210785216).

Almost surely, 2131010311022 is an apocalyptic number.

131010311022 is an abundant number, since it is smaller than the sum of its proper divisors (138479942802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131010311022 is a wasteful number, since it uses less digits than its factorization.

131010311022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131010311022 its reverse (220113010131), we get a palindrome (351123321153).

It can be divided in two parts, 1310103 and 11022, that added together give a triangular number (1321125 = T1625).

The spelling of 131010311022 in words is "one hundred thirty-one billion, ten million, three hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 47 94 141 271 282 313 542 626 813 939 1626 1878 5477 10954 12737 14711 16431 25474 29422 32862 38211 44133 76422 84823 88266 169646 254469 257419 508938 514838 772257 1484267 1544514 1714301 2968534 3428602 3986681 4452801 5142903 7973362 8905602 10285806 11960043 23920086 69760549 80572147 139521098 161144294 209281647 241716441 418563294 464575571 483432882 929151142 1393726713 2787453426 21835051837 43670103674 65505155511 131010311022