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131142103101234 = 23291912473635599
BaseRepresentation
bin11101110100010111100110…
…011110000110111100110010
3122012100001200122111012112100
4131310113212132012330302
5114142113011343214414
61142525503411041230
736423463365661341
oct3564274636067462
9565301618435470
10131142103101234
1138871065373355
1212860274ba0216
1358238550482c4
142455451289b58
1510264914ac609
hex7745e6786f32

131142103101234 has 48 divisors (see below), whose sum is σ = 284473661472000. Its totient is φ = 43662897834048.

The previous prime is 131142103101211. The next prime is 131142103101301. The reversal of 131142103101234 is 432101301241131.

131142103101234 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 421 + 0 + 3 + 1 + 0 + 1 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131142103101198 and 131142103101207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206010567 + ... + 206646165.

It is an arithmetic number, because the mean of its divisors is an integer number (5926534614000).

Almost surely, 2131142103101234 is an apocalyptic number.

131142103101234 is an abundant number, since it is smaller than the sum of its proper divisors (153331558370766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131142103101234 is a wasteful number, since it uses less digits than its factorization.

131142103101234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648999 (or 648996 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131142103101234 its reverse (432101301241131), we get a palindrome (563243404342365).

The spelling of 131142103101234 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, one hundred one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 919 1838 2757 5514 8271 12473 16542 24946 37419 74838 112257 224514 635599 1271198 1906797 3813594 5720391 11440782 11462687 22925374 34388061 68776122 103164183 206328366 584115481 1168230962 1752346443 3504692886 5257039329 7927826327 10514078658 15855652654 23783478981 47566957962 71350436943 142700873886 7285672394513 14571344789026 21857017183539 43714034367078 65571051550617 131142103101234