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10142252145 = 325225383381
BaseRepresentation
bin10010111001000011…
…00111110001110001
3222011211102210101100
421130201213301301
5131232404032040
64354223355013
7506222502144
oct113441476161
928154383340
1010142252145
114335045173
121b70752a69
13c5830593c
146c2dd205b
153e560bb30
hex25c867c71

10142252145 has 12 divisors (see below), whose sum is σ = 17579903796. Its totient is φ = 5409201120.

The previous prime is 10142252143. The next prime is 10142252149. The reversal of 10142252145 is 54125224101.

It is a happy number.

10142252145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2773918224 + 7368333921 = 52668^2 + 85839^2 .

It is not a de Polignac number, because 10142252145 - 21 = 10142252143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10142252143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112691646 + ... + 112691735.

It is an arithmetic number, because the mean of its divisors is an integer number (1464991983).

Almost surely, 210142252145 is an apocalyptic number.

10142252145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10142252145 is a deficient number, since it is larger than the sum of its proper divisors (7437651651).

10142252145 is a wasteful number, since it uses less digits than its factorization.

10142252145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225383392 (or 225383389 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 10142252145 its reverse (54125224101), we get a palindrome (64267476246).

The spelling of 10142252145 in words is "ten billion, one hundred forty-two million, two hundred fifty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 225383381 676150143 1126916905 2028450429 3380750715 10142252145