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131300312330 = 25113779408361
BaseRepresentation
bin111101001001000011…
…0111100010100001010
3110112220112200221210202
41322102012330110022
54122400334443310
6140152445212202
712325513145255
oct1722206742412
9415815627722
10131300312330
1150758670020
1221544261062
13c4c63bba05
1464d806c09c
1536370b63a5
hex1e921bc50a

131300312330 has 64 divisors (see below), whose sum is σ = 268146823680. Its totient is φ = 45866995200.

The previous prime is 131300312321. The next prime is 131300312387. The reversal of 131300312330 is 33213003131.

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, 117350 + ... + 525710.

It is an arithmetic number, because the mean of its divisors is an integer number (4189794120).

Almost surely, 2131300312330 is an apocalyptic number.

131300312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131300312330 is an abundant number, since it is smaller than the sum of its proper divisors (136846511350).

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

131300312330 is a wasteful number, since it uses less digits than its factorization.

131300312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408495.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 131300312330 its reverse (33213003131), we get a palindrome (164513315461).

The spelling of 131300312330 in words is "one hundred thirty-one billion, three hundred million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 37 55 74 79 110 158 185 370 395 407 790 814 869 1738 2035 2923 4070 4345 5846 8690 14615 29230 32153 64306 160765 321530 408361 816722 2041805 4083610 4491971 8983942 15109357 22459855 30218714 32260519 44919710 64521038 75546785 151093570 161302595 166202927 322605190 332405854 354865709 709731418 831014635 1193639203 1662029270 1774328545 2387278406 3548657090 5968196015 11936392030 13130031233 26260062466 65650156165 131300312330