Search a number
-
+
131142103311233 = 71771137552120521
BaseRepresentation
bin11101110100010111100110…
…011110111010001110000001
3122012100001200122212212121002
4131310113212132322032001
5114142113011421424413
61142525503415341345
736423463400524520
oct3564274636721601
9565301618785532
10131142103311233
11388710654a7103
1212860275081855
1358238550bca71
1424554513024b7
1510264914ee958
hex7745e67ba381

131142103311233 has 64 divisors (see below), whose sum is σ = 162139996947456. Its totient is φ = 103520083968000.

The previous prime is 131142103311229. The next prime is 131142103311257. The reversal of 131142103311233 is 332113301241131.

It is not a de Polignac number, because 131142103311233 - 22 = 131142103311229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131142103311196 and 131142103311205.

It is not an unprimeable number, because it can be changed into a prime (131142103311203) 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, 6390619013 + ... + 6390639533.

It is an arithmetic number, because the mean of its divisors is an integer number (2533437452304).

Almost surely, 2131142103311233 is an apocalyptic number.

It is an amenable number.

131142103311233 is a deficient number, since it is larger than the sum of its proper divisors (30997893636223).

131142103311233 is a wasteful number, since it uses less digits than its factorization.

131142103311233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26274.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 131142103311233 its reverse (332113301241131), we get a palindrome (463255404552364).

The spelling of 131142103311233 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, three hundred eleven thousand, two hundred thirty-three".

Divisors: 1 7 17 71 119 137 497 959 1207 2329 5521 8449 9727 16303 20521 38647 68089 93857 143647 165359 348857 391991 656999 756377 1157513 1456991 2441999 2743937 2811377 5294639 6663847 10198937 12858409 19679639 24768847 46646929 47793409 53702767 90008863 113296441 173381929 199607767 334553863 375919369 793075087 912947039 1397254369 1926039497 3393332039 6390629273 8044047311 13482276479 15521612417 23753324273 56308331177 108651286919 136748804287 263867411089 957241630009 1102034481607 1847071877623 7714241371249 18734586187319 131142103311233