Search a number
-
+
10023114002004 = 22322711027379459
BaseRepresentation
bin1001000111011011000000…
…1001100100111001010100
31022111012102001022012202200
42101312300021210321110
52303204314141031004
633152315514204500
72053101052204245
oct221666011447124
938435361265680
1010023114002004
113214862608914
12115a668723730
13579238a2149c
1426919ac14ccc
15125ace271239
hex91db0264e54

10023114002004 has 36 divisors (see below), whose sum is σ = 25429696393920. Its totient is φ = 3328709443920.

The previous prime is 10023114001997. The next prime is 10023114002009. The reversal of 10023114002004 is 40020041132001.

10023114002004 is a `hidden beast` number, since 10 + 0 + 231 + 1 + 400 + 20 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023114002009) by changing a digit.

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, 513679974 + ... + 513699485.

Almost surely, 210023114002004 is an apocalyptic number.

It is an amenable number.

10023114002004 is an abundant number, since it is smaller than the sum of its proper divisors (15406582391916).

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

10023114002004 is a wasteful number, since it uses less digits than its factorization.

10023114002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027379740 (or 1027379735 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10023114002004 its reverse (40020041132001), we get a palindrome (50043155134005).

The spelling of 10023114002004 in words is "ten trillion, twenty-three billion, one hundred fourteen million, two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 271 542 813 1084 1626 2439 3252 4878 9756 1027379459 2054758918 3082138377 4109517836 6164276754 9246415131 12328553508 18492830262 36985660524 278419833389 556839666778 835259500167 1113679333556 1670519000334 2505778500501 3341038000668 5011557001002 10023114002004