Search a number
-
+
131412310014321 = 337695303227589
BaseRepresentation
bin11101111000010011010000…
…000011101011100101110001
3122020021220010211110121022000
4131320103100003223211301
5114211024402330424241
61143253552023004213
736452140355564220
oct3570232003534561
9566256124417260
10131412310014321
1138965714100476
12128a4704899669
1358431876198ab
142464565644cb7
15102d5082b4eb6
hex7784d00eb971

131412310014321 has 16 divisors (see below), whose sum is σ = 222497032828800. Its totient is φ = 75092748579504.

The previous prime is 131412310014311. The next prime is 131412310014409. The reversal of 131412310014321 is 123410013214131.

131412310014321 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 12 + 310 + 0 + 14 + 321 = 666.

It is not a de Polignac number, because 131412310014321 - 25 = 131412310014289 is a prime.

It is a super-2 number, since 2×1314123100143212 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131412310014301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347651613606 + ... + 347651613983.

It is an arithmetic number, because the mean of its divisors is an integer number (13906064551800).

Almost surely, 2131412310014321 is an apocalyptic number.

It is an amenable number.

131412310014321 is a deficient number, since it is larger than the sum of its proper divisors (91084722814479).

131412310014321 is an equidigital number, since it uses as much as digits as its factorization.

131412310014321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695303227605 (or 695303227599 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131412310014321 its reverse (123410013214131), we get a palindrome (254822323228452).

The spelling of 131412310014321 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred ten million, fourteen thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 695303227589 2085909682767 4867122593123 6257729048301 14601367779369 18773187144903 43804103338107 131412310014321