Search a number
-
+
131141330201123 = 1147409893369427
BaseRepresentation
bin11101110100010110111000…
…011001101110101000100011
3122012022222200210010210220022
4131310112320121232220203
5114142104421012413443
61142525255001104055
736423435262304264
oct3564267031565043
9565288623123808
10131141330201123
11388707a9062030
121286009a18802b
135823760b93368
1424553ba77696b
1510264486d9e68
hex7745b866ea23

131141330201123 has 32 divisors (see below), whose sum is σ = 146482904632320. Its totient is φ = 116382813845760.

The previous prime is 131141330200987. The next prime is 131141330201149. The reversal of 131141330201123 is 321102033141131.

It is not a de Polignac number, because 131141330201123 - 228 = 131141061765667 is a prime.

It is a super-2 number, since 2×1311413302011232 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131141330201092 and 131141330201101.

It is not an unprimeable number, because it can be changed into a prime (131141330204123) 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, 1888874936 + ... + 1888944362.

It is an arithmetic number, because the mean of its divisors is an integer number (4577590769760).

Almost surely, 2131141330201123 is an apocalyptic number.

131141330201123 is a deficient number, since it is larger than the sum of its proper divisors (15341574431197).

131141330201123 is a wasteful number, since it uses less digits than its factorization.

131141330201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78827.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 131141330201123 its reverse (321102033141131), we get a palindrome (452243363342254).

The spelling of 131141330201123 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred thirty million, two hundred one thousand, one hundred twenty-three".

Divisors: 1 11 47 409 517 4499 8933 19223 69427 98263 211453 419851 763697 3263069 3653597 4618361 28395643 35893759 40189567 171719059 312352073 620191391 1334595221 1888909649 6822105301 14680547431 29148995377 253658278919 320638949147 2790241068109 11921939109193 131141330201123