Search a number
-
+
131432130102540 = 223531671054663217
BaseRepresentation
bin11101111000100101101101…
…011011010100010100001100
3122020100210022010110101222110
4131320211231123110110030
5114211341000301240130
61143311030444144020
736453441464551041
oct3570455533242414
9566323263411873
10131432130102540
1138973065018073
12128a8516538010
135844cc5951847
1424654c5a971c8
15102dcb8343ab0
hex77896d6d450c

131432130102540 has 96 divisors (see below), whose sum is σ = 385551123277824. Its totient is φ = 33411730682880.

The previous prime is 131432130102527. The next prime is 131432130102577. The reversal of 131432130102540 is 45201031234131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131432130102498 and 131432130102507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527206989 + ... + 527456228.

It is an arithmetic number, because the mean of its divisors is an integer number (4016157534144).

Almost surely, 2131432130102540 is an apocalyptic number.

131432130102540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131432130102540 is an abundant number, since it is smaller than the sum of its proper divisors (254118993175284).

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

131432130102540 is a wasteful number, since it uses less digits than its factorization.

131432130102540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054663327 (or 1054663325 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 131432130102540 its reverse (45201031234131), we get a palindrome (176633161336671).

The spelling of 131432130102540 in words is "one hundred thirty-one trillion, four hundred thirty-two billion, one hundred thirty million, one hundred two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 67 93 124 134 155 186 201 268 310 335 372 402 465 620 670 804 930 1005 1340 1860 2010 2077 4020 4154 6231 8308 10385 12462 20770 24924 31155 41540 62310 124620 1054663217 2109326434 3163989651 4218652868 5273316085 6327979302 10546632170 12655958604 15819948255 21093264340 31639896510 32694559727 63279793020 65389119454 70662435539 98083679181 130778238908 141324871078 163472798635 196167358362 211987306617 282649742156 326945597270 353312177695 392334716724 423974613234 490418395905 653891194540 706624355390 847949226468 980836791810 1059936533085 1413248710780 1961673583620 2119873066170 2190535501709 4239746132340 4381071003418 6571606505127 8762142006836 10952677508545 13143213010254 21905355017090 26286426020508 32858032525635 43810710034180 65716065051270 131432130102540