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131323200030 = 232511196981563
BaseRepresentation
bin111101001001101111…
…0010000001000011110
3110112222010202202211100
41322103132100020132
54122422214400110
6140155023533530
712326211532251
oct1722336201036
9415863682740
10131323200030
115076a582980
122154ba5a2a6
13c4cb073629
1464db109098
1536390d7bc0
hex1e9379021e

131323200030 has 96 divisors (see below), whose sum is σ = 392084634240. Its totient is φ = 30160347840.

The previous prime is 131323200017. The next prime is 131323200037. The reversal of 131323200030 is 30002323131.

131323200030 is a `hidden beast` number, since 1 + 313 + 2 + 320 + 0 + 0 + 30 = 666.

It is a super-2 number, since 2×1313232000302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131323199976 and 131323200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131323200037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3471972 + ... + 3509591.

It is an arithmetic number, because the mean of its divisors is an integer number (4084214940).

Almost surely, 2131323200030 is an apocalyptic number.

131323200030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131323200030 is an abundant number, since it is smaller than the sum of its proper divisors (260761434210).

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

131323200030 is a wasteful number, since it uses less digits than its factorization.

131323200030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6981606 (or 6981603 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131323200030 its reverse (30002323131), we get a palindrome (161325523161).

The spelling of 131323200030 in words is "one hundred thirty-one billion, three hundred twenty-three million, two hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1254 1710 1881 2090 3135 3762 6270 9405 18810 6981563 13963126 20944689 34907815 41889378 62834067 69815630 76797193 104723445 125668134 132649697 153594386 209446890 230391579 265299394 314170335 383985965 397949091 460783158 628340670 663248485 691174737 767971930 795898182 1151957895 1193847273 1326496970 1382349474 1459146667 1989745455 2303915790 2387694546 2918293334 3455873685 3979490910 4377440001 5969236365 6911747370 7295733335 8754880002 11938472730 13132320003 14591466670 21887200005 26264640006 43774400010 65661600015 131323200030