Search a number
-
+
131141100000021 = 36197103163440039
BaseRepresentation
bin11101110100010110101010…
…101011100101001100010101
3122012022222002201222101100120
4131310112222223211030111
5114142103433100000041
61142525220055102153
736423426465523116
oct3564265253451425
9565288081871316
10131141100000021
11388706a0121591
1212860035071959
1358237252936a7
142455397d7220d
1510264333b7366
hex7745aaae5315

131141100000021 has 64 divisors (see below), whose sum is σ = 182409351720960. Its totient is φ = 83764084746240.

The previous prime is 131141100000019. The next prime is 131141100000041. The reversal of 131141100000021 is 120000001141131.

It is not a de Polignac number, because 131141100000021 - 21 = 131141100000019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141100000041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297801520 + ... + 298241558.

It is an arithmetic number, because the mean of its divisors is an integer number (2850146120640).

Almost surely, 2131141100000021 is an apocalyptic number.

It is an amenable number.

131141100000021 is a deficient number, since it is larger than the sum of its proper divisors (51268251720939).

131141100000021 is a wasteful number, since it uses less digits than its factorization.

131141100000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440466.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 131141100000021 its reverse (120000001141131), we get a palindrome (251141101141152).

The spelling of 131141100000021 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, twenty-one", and thus it is an aban number.

Divisors: 1 3 61 97 103 163 183 291 309 489 5917 6283 9943 9991 15811 16789 17751 18849 29829 29973 47433 50367 440039 609451 964471 1024129 1320117 1628533 1828353 2893413 3072387 4885599 26842379 42683783 45324017 71726357 80527137 99340513 128051349 135972051 215179071 298021539 2603710763 2764765037 4375307777 4396429649 6957456629 7387814771 7811132289 8294295111 13125923331 13189288947 20872369887 22163444313 268182208589 424404854369 450656701031 716618032787 804546625767 1273214563107 1351970103093 2149854098361 43713700000007 131141100000021