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10742013225 = 325247742281
BaseRepresentation
bin10100000000100011…
…00001110100101001
31000201121222210220200
422000101201310221
5133444423410400
64533530342413
7530124414546
oct120021416451
930647883820
1010742013225
11461264a589
1220b958aa09
131022649858
1473c915bcd
1542d0cdb00
hex280461d29

10742013225 has 18 divisors (see below), whose sum is σ = 19240139646. Its totient is φ = 5729073600.

The previous prime is 10742013179. The next prime is 10742013283. The reversal of 10742013225 is 52231024701.

10742013225 is a `hidden beast` number, since 1 + 0 + 7 + 420 + 13 + 225 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2310917184 + 8431096041 = 48072^2 + 91821^2 .

It is not a de Polignac number, because 10742013225 - 223 = 10733624617 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23870916 + ... + 23871365.

It is an arithmetic number, because the mean of its divisors is an integer number (1068896647).

Almost surely, 210742013225 is an apocalyptic number.

10742013225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10742013225 is a deficient number, since it is larger than the sum of its proper divisors (8498126421).

10742013225 is a wasteful number, since it uses less digits than its factorization.

10742013225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47742297 (or 47742289 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 10742013225 its reverse (52231024701), we get a palindrome (62973037926).

The spelling of 10742013225 in words is "ten billion, seven hundred forty-two million, thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 47742281 143226843 238711405 429680529 716134215 1193557025 2148402645 3580671075 10742013225