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131142103324340 = 22517438970048107
BaseRepresentation
bin11101110100010111100110…
…011110111101011010110100
3122012100001200122220112120112
4131310113212132331122310
5114142113011422334330
61142525503415522152
736423463400610653
oct3564274636753264
9565301618815515
10131142103324340
1138871065505a39
1212860275089358
1358238550c5a14
14245545130719a
151026491503795
hex7745e67bd6b4

131142103324340 has 48 divisors (see below), whose sum is σ = 298379680264512. Its totient is φ = 48222978617856.

The previous prime is 131142103324307. The next prime is 131142103324343. The reversal of 131142103324340 is 43423301241131.

It is a junction number, because it is equal to n+sod(n) for n = 131142103324297 and 131142103324306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131142103324343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4485009434 + ... + 4485038673.

It is an arithmetic number, because the mean of its divisors is an integer number (6216243338844).

Almost surely, 2131142103324340 is an apocalyptic number.

131142103324340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142103324340 is an abundant number, since it is smaller than the sum of its proper divisors (167237576940172).

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

131142103324340 is a wasteful number, since it uses less digits than its factorization.

131142103324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970048176 (or 8970048174 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 131142103324340 its reverse (43423301241131), we get a palindrome (174565404565471).

The spelling of 131142103324340 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 731 860 1462 2924 3655 7310 14620 8970048107 17940096214 35880192428 44850240535 89700481070 152490817819 179400962140 304981635638 385712068601 609963271276 762454089095 771424137202 1524908178190 1542848274404 1928560343005 3049816356380 3857120686010 6557105166217 7714241372020 13114210332434 26228420664868 32785525831085 65571051662170 131142103324340