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20803186224601 = 1124146412
BaseRepresentation
bin1001011101011100111101…
…00001100110110111011001
32201122202122211001020002221
410232232132201212313121
510211314411133141401
6112124503554224041
74244660230211314
oct456563641466731
981582584036087
1020803186224601
1166a0644316500
1223bb968b85021
13b7b9693b7ac1
1451cc4582397b
15261212c547a1
hex12eb9e866dd9

20803186224601 has 9 divisors (see below), whose sum is σ = 22866367278559. Its totient is φ = 18911941866400.

The previous prime is 20803186224581. The next prime is 20803186224649. The reversal of 20803186224601 is 10642268130802.

It is a happy number.

The square root of 20803186224601 is 4561051.

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., 19803826122201 + 999360102400 = 4450149^2 + 999680^2 .

It is not a de Polignac number, because 20803186224601 - 213 = 20803186216409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20803186224701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49964241 + ... + 50378881.

Almost surely, 220803186224601 is an apocalyptic number.

20803186224601 is the 4561051-st square number.

20803186224601 is the 2280526-th centered octagonal number.

It is an amenable number.

20803186224601 is a deficient number, since it is larger than the sum of its proper divisors (2063181053958).

20803186224601 is an frugal number, since it uses more digits than its factorization.

20803186224601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829304 (or 414652 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 20803186224601 in words is "twenty trillion, eight hundred three billion, one hundred eighty-six million, two hundred twenty-four thousand, six hundred one".

Divisors: 1 11 121 414641 4561051 50171561 171927158881 1891198747691 20803186224601