Search a number
-
+
10031153544231 = 3173113746312523
BaseRepresentation
bin1001000111111000111101…
…0101111111110000100111
31022111222011100010021101220
42101332033111333300213
52303322300301403411
633200125345351423
72053504223165001
oct221761725776047
938458140107356
1010031153544231
113218208733996
121160131038573
13579c1a4ca971
14269720853371
15125deee7cb06
hex91f8f57fc27

10031153544231 has 32 divisors (see below), whose sum is σ = 14725159630848. Its totient is φ = 6046562872320.

The previous prime is 10031153544199. The next prime is 10031153544259. The reversal of 10031153544231 is 13244535113001.

It is not a de Polignac number, because 10031153544231 - 25 = 10031153544199 is a prime.

It is a super-3 number, since 3×100311535442313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10031153544192 and 10031153544201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031153544271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22939665 + ... + 23372858.

It is an arithmetic number, because the mean of its divisors is an integer number (460161238464).

Almost surely, 210031153544231 is an apocalyptic number.

10031153544231 is a deficient number, since it is larger than the sum of its proper divisors (4694006086617).

10031153544231 is a wasteful number, since it uses less digits than its factorization.

10031153544231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46312711.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 10031153544231 its reverse (13244535113001), we get a palindrome (23275688657232).

The spelling of 10031153544231 in words is "ten trillion, thirty-one billion, one hundred fifty-three million, five hundred forty-four thousand, two hundred thirty-one".

Divisors: 1 3 17 31 51 93 137 411 527 1581 2329 4247 6987 12741 72199 216597 46312523 138937569 787312891 1435688213 2361938673 4307064639 6344815651 19034446953 24406699621 73220098863 107861866067 196689285181 323585598201 590067855543 3343717848077 10031153544231