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131021003442340 = 22511797538607793
BaseRepresentation
bin11101110010100110110100…
…010111100100100010100100
3122011220111010000010010121201
4131302212310113210202210
5114133122003340123330
61142354115033052244
736411645414603334
oct3562466427444244
9564814100103551
10131021003442340
1138824771807230
12128408b8b57084
1358152c609c5cb
14244d643c930c4
151023254bdbeca
hex7729b45e48a4

131021003442340 has 48 divisors (see below), whose sum is σ = 303956666254080. Its totient is φ = 47040912622080.

The previous prime is 131021003442317. The next prime is 131021003442349. The reversal of 131021003442340 is 43244300120131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131021003442299 and 131021003442308.

It is not an unprimeable number, because it can be changed into a prime (131021003442349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3769286517 + ... + 3769321276.

It is an arithmetic number, because the mean of its divisors is an integer number (6332430546960).

Almost surely, 2131021003442340 is an apocalyptic number.

131021003442340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131021003442340 is an abundant number, since it is smaller than the sum of its proper divisors (172935662811740).

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

131021003442340 is a wasteful number, since it uses less digits than its factorization.

131021003442340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538607892 (or 7538607890 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131021003442340 its reverse (43244300120131), we get a palindrome (174265303562471).

The spelling of 131021003442340 in words is "one hundred thirty-one trillion, twenty-one billion, three million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8690 17380 7538607793 15077215586 30154431172 37693038965 75386077930 82924685723 150772155860 165849371446 331698742892 414623428615 595550015647 829246857230 1191100031294 1658493714460 2382200062588 2977750078235 5955500156470 6551050172117 11911000312940 13102100344234 26204200688468 32755250860585 65510501721170 131021003442340