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11271034801 = 1373109108961
BaseRepresentation
bin10100111111100111…
…00101011110110001
31002002111102220002101
422133303211132301
5141040341103201
65102225220401
7546210133525
oct123763453661
932074386071
1011271034801
1148642292a4
122226791701
1310a8123480
1478cca3d85
1545e77ad01
hex29fce57b1

11271034801 has 16 divisors (see below), whose sum is σ = 12417309520. Its totient is φ = 10167275520.

The previous prime is 11271034787. The next prime is 11271034813. The reversal of 11271034801 is 10843017211.

It can be written as a sum of positive squares in 8 ways, for example, as 80568576 + 11190466225 = 8976^2 + 105785^2 .

It is a cyclic number.

It is not a de Polignac number, because 11271034801 - 27 = 11271034673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11271034801.

It is not an unprimeable number, because it can be changed into a prime (11271035801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48961 + ... + 157921.

It is an arithmetic number, because the mean of its divisors is an integer number (776081845).

Almost surely, 211271034801 is an apocalyptic number.

It is an amenable number.

11271034801 is a deficient number, since it is larger than the sum of its proper divisors (1146274719).

11271034801 is a wasteful number, since it uses less digits than its factorization.

11271034801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109156.

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 11271034801 in words is "eleven billion, two hundred seventy-one million, thirty-four thousand, eight hundred one".

Divisors: 1 13 73 109 949 1417 7957 103441 108961 1416493 7954153 11876749 103403989 154397737 867002677 11271034801