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1270134052561 = 11285712248513
BaseRepresentation
bin10010011110111001111…
…000111001011011010001
311111102102211022010101201
4102132321320321123101
5131302213304140221
62411254100431201
7160523051212333
oct22367170713321
94442384263351
101270134052561
1144a72a618900
121861b13a8501
1392a087395aa
1445690c77453
152308be7a891
hex127b9e396d1

1270134052561 has 12 divisors (see below), whose sum is σ = 1397726926596. Its totient is φ = 1153319889920.

The previous prime is 1270134052507. The next prime is 1270134052633. The reversal of 1270134052561 is 1652504310721.

It can be written as a sum of positive squares in 2 ways, for example, as 1210096801936 + 60037250625 = 1100044^2 + 245025^2 .

It is not a de Polignac number, because 1270134052561 - 215 = 1270134019793 is a prime.

It is a super-2 number, since 2×12701340525612 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1270134052561.

It is not an unprimeable number, because it can be changed into a prime (1270134052861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6020560 + ... + 6227953.

It is an arithmetic number, because the mean of its divisors is an integer number (116477243883).

Almost surely, 21270134052561 is an apocalyptic number.

1270134052561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1270134052561 is a deficient number, since it is larger than the sum of its proper divisors (127592874035).

1270134052561 is a wasteful number, since it uses less digits than its factorization.

1270134052561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12249392 (or 12249381 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 1270134052561 in words is "one trillion, two hundred seventy billion, one hundred thirty-four million, fifty-two thousand, five hundred sixty-one".

Divisors: 1 11 121 857 9427 103697 12248513 134733643 1482070073 10496975641 115466732051 1270134052561