Search a number
-
+
1001005056104 = 23125125632013
BaseRepresentation
bin11101001000100001000…
…11010000000001101000
310112200202202121120021012
432210100203100001220
5112400024243243404
62043504432203052
7132214560405524
oct16442043200150
93480682546235
101001005056104
11356584292479
12142002699488
13735185861b1
143663db0cd84
151b089ae5a6e
hexe9108d0068

1001005056104 has 8 divisors (see below), whose sum is σ = 1876884480210. Its totient is φ = 500502528048.

The previous prime is 1001005056101. The next prime is 1001005056119. The reversal of 1001005056104 is 4016505001001.

It can be written as a sum of positive squares in only one way, i.e., 745476828100 + 255528228004 = 863410^2 + 505498^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×10010050561042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001005056104.

It is not an unprimeable number, because it can be changed into a prime (1001005056101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62562815999 + ... + 62562816014.

Almost surely, 21001005056104 is an apocalyptic number.

It is an amenable number.

1001005056104 is a deficient number, since it is larger than the sum of its proper divisors (875879424106).

1001005056104 is a wasteful number, since it uses less digits than its factorization.

1001005056104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125125632019 (or 125125632015 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 1001005056104 in words is "one trillion, one billion, five million, fifty-six thousand, one hundred four".

Divisors: 1 2 4 8 125125632013 250251264026 500502528052 1001005056104