Search a number
-
+
1001053542131 = 17931489177601
BaseRepresentation
bin11101001000100110111…
…00001101011011110011
310112200220010211220120222
432210103130031123303
5112400124201322011
62043513323323255
7132216016466306
oct16442334153363
93480803756528
101001053542131
113565a9699775
1214201698052b
1373525631456
1436646330b3d
151b08dec1ddb
hexe91370d6f3

1001053542131 has 8 divisors (see below), whose sum is σ = 1006683656400. Its totient is φ = 995423846400.

The previous prime is 1001053542077. The next prime is 1001053542149. The reversal of 1001053542131 is 1312453501001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001053542131 - 226 = 1000986433267 is a prime.

It is a super-2 number, since 2×10010535421312 (a number of 25 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 1001053542131.

It is not an unprimeable number, because it can be changed into a prime (1001053542191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5547731 + ... + 5725331.

It is an arithmetic number, because the mean of its divisors is an integer number (125835457050).

Almost surely, 21001053542131 is an apocalyptic number.

1001053542131 is a deficient number, since it is larger than the sum of its proper divisors (5630114269).

1001053542131 is a wasteful number, since it uses less digits than its factorization.

1001053542131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209269.

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 1001053542131 in words is "one trillion, one billion, fifty-three million, five hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 179 31489 177601 5636531 31790579 5592477889 1001053542131