Search a number
-
+
10971731304 = 2332971570981
BaseRepresentation
bin10100011011111011…
…10101010101101000
31001022122020200212200
422031331311111220
5134432230400204
65012414140200
7535614114552
oct121575652550
931278220780
1010971731304
114720290136
1221624b1660
13105b10a701
147612324d2
15443358539
hex28df75568

10971731304 has 48 divisors (see below), whose sum is σ = 30021466020. Its totient is φ = 3619537920.

The previous prime is 10971731299. The next prime is 10971731321. The reversal of 10971731304 is 40313717901.

It can be written as a sum of positive squares in 2 ways, for example, as 10644048900 + 327682404 = 103170^2 + 18102^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778507 + ... + 792474.

Almost surely, 210971731304 is an apocalyptic number.

It is an amenable number.

10971731304 is an abundant number, since it is smaller than the sum of its proper divisors (19049734716).

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

10971731304 is a wasteful number, since it uses less digits than its factorization.

10971731304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571090 (or 1571083 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 10971731304 in words is "ten billion, nine hundred seventy-one million, seven hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 1570981 3141962 4712943 6283924 9425886 12567848 14138829 18851772 28277658 37703544 56555316 113110632 152385157 304770314 457155471 609540628 914310942 1219081256 1371466413 1828621884 2742932826 3657243768 5485865652 10971731304