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1010123431225 = 5240404937249
BaseRepresentation
bin11101011001100000000…
…11000101110100111001
310120120022020110000102021
432230300003011310321
5113022213044244400
62052013322434441
7132656541332536
oct16546003056471
93516266400367
101010123431225
1135a433385687
12143928362a21
137433c71192c
1436c66b39d8d
151b4203a671a
hexeb300c5d39

1010123431225 has 6 divisors (see below), whose sum is σ = 1252553054750. Its totient is φ = 808098744960.

The previous prime is 1010123431183. The next prime is 1010123431333. The reversal of 1010123431225 is 5221343210101.

It can be written as a sum of positive squares in 3 ways, for example, as 586802176 + 1009536629049 = 24224^2 + 1004757^2 .

It is not a de Polignac number, because 1010123431225 - 221 = 1010121334073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 40404937249 = 1010123431225 / (1 + 0 + 1 + 0 + 1 + 2 + 3 + 4 + 3 + 1 + 2 + 2 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 1010123431225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20202468600 + ... + 20202468649.

Almost surely, 21010123431225 is an apocalyptic number.

It is an amenable number.

1010123431225 is a deficient number, since it is larger than the sum of its proper divisors (242429623525).

1010123431225 is an equidigital number, since it uses as much as digits as its factorization.

1010123431225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40404937259 (or 40404937254 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1010123431225 its reverse (5221343210101), we get a palindrome (6231466641326).

The spelling of 1010123431225 in words is "one trillion, ten billion, one hundred twenty-three million, four hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 40404937249 202024686245 1010123431225