Search a number
-
+
110131126002320 = 24561109720572337
BaseRepresentation
bin11001000010100111100110…
…101001001110001010010000
3112102221102200112020212112112
4121002213212221032022100
5103413342021224033240
61030121312453044452
732124465653245523
oct3102474651161220
9472842615225475
10110131126002320
1132100391574555
1210428197326728
13495b42252c147
141d2a536b96bba
15caeb6b346665
hex6429e6a4e290

110131126002320 has 80 divisors (see below), whose sum is σ = 260489741593968. Its totient is φ = 43290778091520.

The previous prime is 110131126002253. The next prime is 110131126002353. The reversal of 110131126002320 is 23200621131011.

It can be written as a sum of positive squares in 8 ways, for example, as 30999995959696 + 79131130042624 = 5567764^2 + 8895568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4932809 + ... + 15639528.

Almost surely, 2110131126002320 is an apocalyptic number.

110131126002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110131126002320 is an abundant number, since it is smaller than the sum of its proper divisors (150358615591648).

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

110131126002320 is a wasteful number, since it uses less digits than its factorization.

110131126002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20573508 (or 20573502 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 110131126002320 its reverse (23200621131011), we get a palindrome (133331747133331).

The spelling of 110131126002320 in words is "one hundred ten trillion, one hundred thirty-one billion, one hundred twenty-six million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1097 1220 2194 2440 4388 4880 5485 8776 10970 17552 21940 43880 66917 87760 133834 267668 334585 535336 669170 1070672 1338340 2676680 5353360 20572337 41144674 82289348 102861685 164578696 205723370 329157392 411446740 822893480 1254912557 1645786960 2509825114 5019650228 6274562785 10039300456 12549125570 20078600912 22567853689 25098251140 45135707378 50196502280 90271414756 100393004560 112839268445 180542829512 225678536890 361085659024 451357073780 902714147560 1376639075029 1805428295120 2753278150058 5506556300116 6883195375145 11013112600232 13766390750290 22026225200464 27532781500580 55065563001160 110131126002320