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825320102340 = 2235241266321433
BaseRepresentation
bin11000000001010001110…
…10010101100111000100
32220220021222101012122210
430000220322111213010
5102010223421233330
61431051414023420
7113425126056246
oct14005072254704
92826258335583
10825320102340
1129901a755408
12113b52047b70
135ca9a8cb856
142bd35036096
15167061448b0
hexc028e959c4

825320102340 has 96 divisors (see below), whose sum is σ = 2321464755456. Its totient is φ = 219079618560.

The previous prime is 825320102333. The next prime is 825320102377. The reversal of 825320102340 is 43201023528.

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 = 825320102298 and 825320102307.

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, 38496264 + ... + 38517696.

It is an arithmetic number, because the mean of its divisors is an integer number (24181924536).

Almost surely, 2825320102340 is an apocalyptic number.

It is an amenable number.

825320102340 is an abundant number, since it is smaller than the sum of its proper divisors (1496144653116).

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

825320102340 is a wasteful number, since it uses less digits than its factorization.

825320102340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24349 (or 24347 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 825320102340 its reverse (43201023528), we get a palindrome (868521125868).

The spelling of 825320102340 in words is "eight hundred twenty-five billion, three hundred twenty million, one hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 241 482 723 964 1205 1446 2410 2663 2892 3615 4820 5326 7230 7989 10652 13315 14460 15978 21433 26630 31956 39945 42866 53260 64299 79890 85732 107165 128598 159780 214330 257196 321495 428660 641783 642990 1283566 1285980 1925349 2567132 3208915 3850698 5165353 6417830 7701396 9626745 10330706 12835660 15496059 19253490 20661412 25826765 30992118 38506980 51653530 57076079 61984236 77480295 103307060 114152158 154960590 171228237 228304316 285380395 309921180 342456474 570760790 684912948 856141185 1141521580 1712282370 3424564740 13755335039 27510670078 41266005117 55021340156 68776675195 82532010234 137553350390 165064020468 206330025585 275106700780 412660051170 825320102340