Search a number
-
+
1010040031097 = 311272309111109
BaseRepresentation
bin11101011001010110001…
…00111100011101111001
310120120002102111211221122
432230223010330131321
5113022030221443342
62052001143115025
7132654506415506
oct16545304743571
93516072454848
101010040031097
1135a3a02a1959
12143904442a75
1374328360a46
1436c59a2a4ad
151b417dd04d2
hexeb2b13c779

1010040031097 has 16 divisors (see below), whose sum is σ = 1051296153600. Its totient is φ = 969332857920.

The previous prime is 1010040031079. The next prime is 1010040031123. The reversal of 1010040031097 is 7901300400101.

It is a cyclic number.

It is not a de Polignac number, because 1010040031097 - 28 = 1010040030841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010040031697) 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 15 ways as a sum of consecutive naturals, for example, 9034979 + ... + 9146087.

It is an arithmetic number, because the mean of its divisors is an integer number (65706009600).

Almost surely, 21010040031097 is an apocalyptic number.

It is an amenable number.

1010040031097 is a deficient number, since it is larger than the sum of its proper divisors (41256122503).

1010040031097 is a wasteful number, since it uses less digits than its factorization.

1010040031097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113576.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 1010040031097 its reverse (7901300400101), we get a palindrome (8911340431198).

The spelling of 1010040031097 in words is "one trillion, ten billion, forty million, thirty-one thousand, ninety-seven".

Divisors: 1 31 127 2309 3937 71579 111109 293243 3444379 9090533 14110843 256550681 437436133 7953071111 32581936487 1010040031097