Search a number
-
+
131068011636 = 223270914513539
BaseRepresentation
bin111101000010001000…
…0110010010001110100
3110112022100120212011100
41322010100302101310
54121411402333021
6140113430210100
712316662500622
oct1720420622164
9415270525140
10131068011636
1150649526081
122149a4b3930
13c48a235493
1464b527c512
1536219cb626
hex1e84432474

131068011636 has 72 divisors (see below), whose sum is σ = 332100568800. Its totient is φ = 43585329600.

The previous prime is 131068011589. The next prime is 131068011673. The reversal of 131068011636 is 636110860131.

131068011636 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 6 + 8 + 0 + 11 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131068011636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37033555 + ... + 37037093.

It is an arithmetic number, because the mean of its divisors is an integer number (4612507900).

Almost surely, 2131068011636 is an apocalyptic number.

It is an amenable number.

131068011636 is an abundant number, since it is smaller than the sum of its proper divisors (201032557164).

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

131068011636 is a wasteful number, since it uses less digits than its factorization.

131068011636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5704 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 131068011636 its reverse (636110860131), we get a palindrome (767178871767).

The spelling of 131068011636 in words is "one hundred thirty-one billion, sixty-eight million, eleven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 709 1418 1451 2127 2836 2902 3539 4254 4353 5804 6381 7078 8508 8706 10617 12762 13059 14156 17412 21234 25524 26118 31851 42468 52236 63702 127404 1028759 2057518 2509151 3086277 4115036 5018302 5135089 6172554 7527453 9258831 10036604 10270178 12345108 15054906 15405267 18517662 20540356 22582359 30109812 30810534 37035324 45164718 46215801 61621068 90329436 92431602 184863204 3640778101 7281556202 10922334303 14563112404 21844668606 32767002909 43689337212 65534005818 131068011636