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10132221213 = 3240915491777
BaseRepresentation
bin10010110111110110…
…10110110100011101
3222011010120011112100
421123323112310131
5131222322034323
64353224355313
7506041313352
oct113373266435
928133504470
1010132221213
11432a413844
121b69315b39
13c56202c8a
146c1940629
153e47c9943
hex25bed6d1d

10132221213 has 24 divisors (see below), whose sum is σ = 14688947000. Its totient is φ = 6730159104.

The previous prime is 10132221139. The next prime is 10132221251. The reversal of 10132221213 is 31212223101.

It can be written as a sum of positive squares in 4 ways, for example, as 2836840644 + 7295380569 = 53262^2 + 85413^2 .

It is not a de Polignac number, because 10132221213 - 28 = 10132220957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132221283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5700981 + ... + 5702757.

Almost surely, 210132221213 is an apocalyptic number.

It is an amenable number.

10132221213 is a deficient number, since it is larger than the sum of its proper divisors (4556725787).

10132221213 is a wasteful number, since it uses less digits than its factorization.

10132221213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132221213 its reverse (31212223101), we get a palindrome (41344444314).

The spelling of 10132221213 in words is "ten billion, one hundred thirty-two million, two hundred twenty-one thousand, two hundred thirteen".

Divisors: 1 3 9 409 1227 1549 1777 3681 4647 5331 13941 15993 633541 726793 1900623 2180379 2752573 5701869 6541137 8257719 24773157 1125802357 3377407071 10132221213