Search a number
-
+
315517000681 = 432130632
BaseRepresentation
bin1001001011101100100…
…01110101101111101001
31010011101220220100001001
410211312101311233221
520132134323010211
6400540240155001
731536543153361
oct4456621655751
91104356810031
10315517000681
111118a0137603
1251196008a61
13239a3802c0c
14113b1ca59a1
158319a98ac1
hex4976475be9

315517000681 has 9 divisors (see below), whose sum is σ = 323049977469. Its totient is φ = 308155804236.

The previous prime is 315517000621. The next prime is 315517000697. The reversal of 315517000681 is 186000715513.

The square root of 315517000681 is 561709.

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

It is not a de Polignac number, because 315517000681 - 213 = 315516992489 is a prime.

It is a super-2 number, since 2×3155170006812 (a number of 24 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 315517000681.

It is not an unprimeable number, because it can be changed into a prime (315517000621) 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, 24146956 + ... + 24160018.

It is an arithmetic number, because the mean of its divisors is an integer number (35894441941).

Almost surely, 2315517000681 is an apocalyptic number.

315517000681 is the 561709-th square number.

315517000681 is the 280855-th centered octagonal number.

It is an amenable number.

315517000681 is a deficient number, since it is larger than the sum of its proper divisors (7532976788).

315517000681 is an frugal number, since it uses more digits than its factorization.

315517000681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26212 (or 13106 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The spelling of 315517000681 in words is "three hundred fifteen billion, five hundred seventeen million, six hundred eighty-one", and thus it is an aban number.

Divisors: 1 43 1849 13063 561709 24153487 170641969 7337604667 315517000681