Search a number
-
+
1010512523140 = 225321715705821
BaseRepresentation
bin11101011010001110011…
…11010110111110000100
310120121022100120221011221
432231013033112332010
5113024012201220030
62052120102210124
7133002304503361
oct16550717267604
93517270527157
101010512523140
1135a612a8014a
12143a16723944
13743a2204233
1436ca26a1468
151b444612e7a
hexeb473d6f84

1010512523140 has 24 divisors (see below), whose sum is σ = 2122736078232. Its totient is φ = 404079336960.

The previous prime is 1010512523131. The next prime is 1010512523143. The reversal of 1010512523140 is 413252150101.

It can be written as a sum of positive squares in 4 ways, for example, as 325137163264 + 685375359876 = 570208^2 + 827874^2 .

It is a super-2 number, since 2×10105125231402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010512523143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7788571 + ... + 7917250.

It is an arithmetic number, because the mean of its divisors is an integer number (88447336593).

Almost surely, 21010512523140 is an apocalyptic number.

1010512523140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010512523140 is an abundant number, since it is smaller than the sum of its proper divisors (1112223555092).

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

1010512523140 is a wasteful number, since it uses less digits than its factorization.

1010512523140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15709047 (or 15709045 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 1010512523140 its reverse (413252150101), we get a palindrome (1423764673241).

The spelling of 1010512523140 in words is "one trillion, ten billion, five hundred twelve million, five hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 3217 6434 12868 16085 32170 64340 15705821 31411642 62823284 78529105 157058210 314116420 50525626157 101051252314 202102504628 252628130785 505256261570 1010512523140