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1138512474121 = 112970012
BaseRepresentation
bin10000100100010100101…
…000011011000000001001
311000211200220002011100011
4100210110220123000021
5122123133143132441
62231005253311521
7145153254233131
oct20442450330011
94024626064304
101138512474121
113a9927679900
121647996355a1
13834909152b9
143d16629bac1
151e936aa4581
hex10914a1b009

1138512474121 has 9 divisors (see below), whose sum is σ = 1251435703399. Its totient is φ = 1035000670000.

The previous prime is 1138512474053. The next prime is 1138512474137. The reversal of 1138512474121 is 1214742158311.

It is a happy number.

The square root of 1138512474121 is 1067011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 857866816521 + 280645657600 = 926211^2 + 529760^2 .

It is not a de Polignac number, because 1138512474121 - 219 = 1138511949833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1138512474721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11688621 + ... + 11785621.

Almost surely, 21138512474121 is an apocalyptic number.

1138512474121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1138512474121 is the 1067011-st square number.

1138512474121 is the 533506-th centered octagonal number.

It is an amenable number.

1138512474121 is a deficient number, since it is larger than the sum of its proper divisors (112923229278).

1138512474121 is an frugal number, since it uses more digits than its factorization.

1138512474121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194024 (or 97012 counting only the distinct ones).

The product of its digits is 53760, while the sum is 40.

The spelling of 1138512474121 in words is "one trillion, one hundred thirty-eight billion, five hundred twelve million, four hundred seventy-four thousand, one hundred twenty-one".

Divisors: 1 11 121 97001 1067011 11737121 9409194001 103501134011 1138512474121