Search a number
-
+
10412332131411 = 33755091704399
BaseRepresentation
bin1001011110000100111101…
…0110111010010001010011
31100212102001022212210211000
42113201033112322101103
52331043424011201121
634051205341353043
72123160203545230
oct227411726722123
940772038783730
1010412332131411
113354933048261
121201b90b68783
135a6b56699332
1427dd61088787
15130cae316526
hex9784f5ba453

10412332131411 has 16 divisors (see below), whose sum is σ = 17629345408000. Its totient is φ = 5949904074984.

The previous prime is 10412332131391. The next prime is 10412332131427. The reversal of 10412332131411 is 11413123321401.

10412332131411 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 33 + 213 + 1 + 411 = 666.

It is not a de Polignac number, because 10412332131411 - 25 = 10412332131379 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10412332131011) 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, 27545852011 + ... + 27545852388.

It is an arithmetic number, because the mean of its divisors is an integer number (1101834088000).

Almost surely, 210412332131411 is an apocalyptic number.

10412332131411 is a deficient number, since it is larger than the sum of its proper divisors (7217013276589).

10412332131411 is an equidigital number, since it uses as much as digits as its factorization.

10412332131411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55091704415 (or 55091704409 counting only the distinct ones).

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

Adding to 10412332131411 its reverse (11413123321401), we get a palindrome (21825455452812).

The spelling of 10412332131411 in words is "ten trillion, four hundred twelve billion, three hundred thirty-two million, one hundred thirty-one thousand, four hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 55091704399 165275113197 385641930793 495825339591 1156925792379 1487476018773 3470777377137 10412332131411