Search a number
-
+
1010240114331 = 3748106672111
BaseRepresentation
bin11101011001101110000…
…00001100111010011011
310120120121101000010112210
432230313000030322123
5113022432432124311
62052033051410203
7132662456200530
oct16546700147233
93516541003483
101010240114331
1135a4932313a8
1214395b453963
137435a946ba6
1436c78430d87
151b42a7543a6
hexeb3700ce9b

1010240114331 has 8 divisors (see below), whose sum is σ = 1539413507584. Its totient is φ = 577280065320.

The previous prime is 1010240114329. The next prime is 1010240114353. The reversal of 1010240114331 is 1334110420101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1010240114331 - 21 = 1010240114329 is a prime.

It is a super-2 number, since 2×10102401143312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 48106672111 = 1010240114331 / (1 + 0 + 1 + 0 + 2 + 4 + 0 + 1 + 1 + 4 + 3 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010240114298 and 1010240114307.

It is not an unprimeable number, because it can be changed into a prime (1010240114231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24053336035 + ... + 24053336076.

It is an arithmetic number, because the mean of its divisors is an integer number (192426688448).

Almost surely, 21010240114331 is an apocalyptic number.

1010240114331 is a deficient number, since it is larger than the sum of its proper divisors (529173393253).

1010240114331 is an equidigital number, since it uses as much as digits as its factorization.

1010240114331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48106672121.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1010240114331 its reverse (1334110420101), we get a palindrome (2344350534432).

The spelling of 1010240114331 in words is "one trillion, ten billion, two hundred forty million, one hundred fourteen thousand, three hundred thirty-one".

Divisors: 1 3 7 21 48106672111 144320016333 336746704777 1010240114331