Search a number
-
+
315068916100 = 2252561312
BaseRepresentation
bin1001001010110111001…
…00100010000110000100
31010010020200202021112211
410211123210202012010
520130230120303400
6400423552153204
731522462412341
oct4453344420604
91103220667484
10315068916100
11111690209a74
125108bb38804
1323931a27003
141136c5857c8
1582e0587dba
hex495b922184

315068916100 has 27 divisors (see below), whose sum is σ = 683711728581. Its totient is φ = 126025321200.

The previous prime is 315068916053. The next prime is 315068916133. The reversal of 315068916100 is 1619860513.

The square root of 315068916100 is 561310.

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., 113424809796 + 201644106304 = 336786^2 + 449048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5585035 + ... + 5641165.

Almost surely, 2315068916100 is an apocalyptic number.

315068916100 is the 561310-th square number.

It is an amenable number.

315068916100 is an abundant number, since it is smaller than the sum of its proper divisors (368642812481).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315068916100 is an frugal number, since it uses more digits than its factorization.

315068916100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112276 (or 56138 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 315068916100 in words is "three hundred fifteen billion, sixty-eight million, nine hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 56131 112262 224524 280655 561310 1122620 1403275 2806550 5613100 3150689161 6301378322 12602756644 15753445805 31506891610 63013783220 78767229025 157534458050 315068916100