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11512217025 = 32522323112
BaseRepresentation
bin10101011100010111…
…00111110111000001
31002201022021012220100
422232023213313001
5142034111421100
65142202433013
7555166141641
oct125613476701
932638235810
1011512217025
11497838a051
122293502769
13111609944a
147b2d26521
15475a1c400
hex2ae2e7dc1

11512217025 has 81 divisors (see below), whose sum is σ = 21624677347. Its totient is φ = 5854015200.

The previous prime is 11512216993. The next prime is 11512217033. The reversal of 11512217025 is 52071221511.

The square root of 11512217025 is 107295.

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., 4144398129 + 7367818896 = 64377^2 + 85836^2 .

It is not a de Polignac number, because 11512217025 - 25 = 11512216993 is a prime.

It is a super-2 number, since 2×115122170252 (a number of 21 digits) contains 22 as substring.

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 11512217025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37016620 + ... + 37016930.

Almost surely, 211512217025 is an apocalyptic number.

11512217025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11512217025 is the 107295-th square number.

11512217025 is the 53648-th centered octagonal number.

It is an amenable number.

11512217025 is a deficient number, since it is larger than the sum of its proper divisors (10112460322).

11512217025 is an equidigital number, since it uses as much as digits as its factorization.

11512217025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 11512217025 its reverse (52071221511), we get a palindrome (63583438536).

The spelling of 11512217025 in words is "eleven billion, five hundred twelve million, two hundred seventeen thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 311 345 529 575 933 1035 1555 1587 1725 2645 2799 4665 4761 5175 7153 7775 7935 13225 13995 21459 23325 23805 35765 39675 64377 69975 96721 107295 119025 164519 178825 290163 321885 483605 493557 536475 822595 870489 1450815 1480671 1609425 2224583 2418025 2467785 4112975 4352445 6673749 7254075 7403355 11122915 12338925 20021247 21762225 33368745 37016775 51165409 55614575 100106235 153496227 166843725 255827045 460488681 500531175 767481135 1279135225 2302443405 3837405675 11512217025