Search a number
-
+
321012114131421 = 3437107111149193
BaseRepresentation
bin100100011111101010111010…
…1000010000000100111011101
31120002121110101011201011020000
41020333111311002000213131
5314033430302204201141
63054422532424444513
7124421234304624306
oct11077256502004735
91502543334634200
10321012114131421
1193314522727709
123000636b619739
1310a1740a66988b
14593b0d7d477ad
15271a3dd7235b6
hex123f5750809dd

321012114131421 has 20 divisors (see below), whose sum is σ = 492497063994012. Its totient is φ = 208224074029248.

The previous prime is 321012114131389. The next prime is 321012114131473. The reversal of 321012114131421 is 124131411210123.

321012114131421 is a `hidden beast` number, since 3 + 2 + 1 + 0 + 1 + 211 + 413 + 14 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 238954061343321 + 82058052788100 = 15458139^2 + 9058590^2 .

It is not a de Polignac number, because 321012114131421 - 25 = 321012114131389 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321012114131521) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53555571600 + ... + 53555577593.

Almost surely, 2321012114131421 is an apocalyptic number.

It is an amenable number.

321012114131421 is a deficient number, since it is larger than the sum of its proper divisors (171484949862591).

321012114131421 is a wasteful number, since it uses less digits than its factorization.

321012114131421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107111149242 (or 107111149233 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 321012114131421 its reverse (124131411210123), we get a palindrome (445143525341544).

The spelling of 321012114131421 in words is "three hundred twenty-one trillion, twelve billion, one hundred fourteen million, one hundred thirty-one thousand, four hundred twenty-one".

Divisors: 1 3 9 27 37 81 111 333 999 2997 107111149193 321333447579 964000342737 2892001028211 3963112520141 8676003084633 11889337560423 35668012681269 107004038043807 321012114131421