Search a number
-
+
10032011342031 = 371925142885569
BaseRepresentation
bin1001000111111100001001…
…1110001111000011001111
31022112001101010012220202210
42101333002132033003033
52303331024400421111
633200350431121503
72053534410304140
oct221770236170317
938461333186683
1010032011342031
113218608961098
121160330373293
1357a026139323
142697a2745ac7
15125e504200a6
hex91fc278f0cf

10032011342031 has 16 divisors (see below), whose sum is σ = 16091446764800. Its totient is φ = 5430863282688.

The previous prime is 10032011341999. The next prime is 10032011342047. The reversal of 10032011342031 is 13024311023001.

It is not a de Polignac number, because 10032011342031 - 25 = 10032011341999 is a prime.

It is a super-2 number, since 2×100320113420312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032011341989 and 10032011342007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032011342051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12571442386 + ... + 12571443183.

It is an arithmetic number, because the mean of its divisors is an integer number (1005715422800).

Almost surely, 210032011342031 is an apocalyptic number.

10032011342031 is a deficient number, since it is larger than the sum of its proper divisors (6059435422769).

10032011342031 is a wasteful number, since it uses less digits than its factorization.

10032011342031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25142885598.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10032011342031 its reverse (13024311023001), we get a palindrome (23056322365032).

The spelling of 10032011342031 in words is "ten trillion, thirty-two billion, eleven million, three hundred forty-two thousand, thirty-one".

Divisors: 1 3 7 19 21 57 133 399 25142885569 75428656707 176000198983 477714825811 528000596949 1433144477433 3344003780677 10032011342031