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10071431327 = 1918116371789
BaseRepresentation
bin10010110000100110…
…11101100010011111
3221222220011201111002
421120103131202133
5131111241300302
64343213420515
7504402516356
oct113023354237
927886151432
1010071431327
1142a9073471
121b50a9a73b
13c4673a629
146b783899d
153de2bcc02
hex2584dd89f

10071431327 has 16 divisors (see below), whose sum is σ = 10672552800. Its totient is φ = 9477544320.

The previous prime is 10071431273. The next prime is 10071431369. The reversal of 10071431327 is 72313417001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10071431327 - 226 = 10004322463 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 10071431327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10071431387) 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, 5628749 + ... + 5630537.

It is an arithmetic number, because the mean of its divisors is an integer number (667034550).

Almost surely, 210071431327 is an apocalyptic number.

10071431327 is a deficient number, since it is larger than the sum of its proper divisors (601121473).

10071431327 is a wasteful number, since it uses less digits than its factorization.

10071431327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626.

The product of its (nonzero) digits is 3528, while the sum is 29.

Adding to 10071431327 its reverse (72313417001), we get a palindrome (82384848328).

The spelling of 10071431327 in words is "ten billion, seventy-one million, four hundred thirty-one thousand, three hundred twenty-seven".

Divisors: 1 19 181 1637 1789 3439 31103 33991 296297 323809 2928593 5629643 6152371 55643267 530075333 10071431327