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131010311010 = 235107131311551
BaseRepresentation
bin111101000000011010…
…0101011001101100010
3110112011100000100210010
41322000310223031202
54121302114423020
6140104005345350
712315362161335
oct1720064531542
9415140010703
10131010311010
11506199a5807
1221483108256
13c47b2b1cb7
1464ab73c61c
15361b8cede0
hex1e80d2b362

131010311010 has 64 divisors (see below), whose sum is σ = 319786942464. Its totient is φ = 34345272000.

The previous prime is 131010310969. The next prime is 131010311023. The reversal of 131010311010 is 10113010131.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 264735 + ... + 576285.

It is an arithmetic number, because the mean of its divisors is an integer number (4996670976).

Almost surely, 2131010311010 is an apocalyptic number.

131010311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131010311010 is an abundant number, since it is smaller than the sum of its proper divisors (188776631454).

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

131010311010 is a wasteful number, since it uses less digits than its factorization.

131010311010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311799.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 131010311010 its reverse (10113010131), we get a palindrome (141123321141).

The spelling of 131010311010 in words is "one hundred thirty-one billion, ten million, three hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 107 131 214 262 321 393 535 642 655 786 1070 1310 1605 1965 3210 3930 14017 28034 42051 70085 84102 140170 210255 311551 420510 623102 934653 1557755 1869306 3115510 4673265 9346530 33335957 40813181 66671914 81626362 100007871 122439543 166679785 200015742 204065905 244879086 333359570 408131810 500039355 612197715 1000078710 1224395430 4367010367 8734020734 13101031101 21835051835 26202062202 43670103670 65505155505 131010311010