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10270407041 = 192213713313
BaseRepresentation
bin10011001000010100…
…11111100110000001
3222111202120201211222
421210022133212001
5132013211011131
64415042244425
7512340006446
oct114412374601
928452521758
1010270407041
1143a0416904
121ba7656715
13c78a2663b
146d60319cd
154019c387b
hex26429f981

10270407041 has 12 divisors (see below), whose sum is σ = 10845291492. Its totient is φ = 9724575744.

The previous prime is 10270407029. The next prime is 10270407061. The reversal of 10270407041 is 14070407201.

It can be written as a sum of positive squares in 2 ways, for example, as 1747240000 + 8523167041 = 41800^2 + 92321^2 .

It is a de Polignac number, because none of the positive numbers 2k-10270407041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10270407041.

It is not an unprimeable number, because it can be changed into a prime (10270407061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 764801 + ... + 778113.

It is an arithmetic number, because the mean of its divisors is an integer number (903774291).

Almost surely, 210270407041 is an apocalyptic number.

It is an amenable number.

10270407041 is a deficient number, since it is larger than the sum of its proper divisors (574884451).

10270407041 is a wasteful number, since it uses less digits than its factorization.

10270407041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15469 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The spelling of 10270407041 in words is "ten billion, two hundred seventy million, four hundred seven thousand, forty-one".

Divisors: 1 19 361 2137 13313 40603 252947 771457 4805993 28449881 540547739 10270407041