Search a number
-
+
13105441222320 = 243554606005093
BaseRepresentation
bin1011111010110101100100…
…1010110010111010110000
31201101212102201202121022210
42332231121022302322300
53204204420423103240
643512320115532120
72521560023244666
oct276553112627260
951355381677283
1013105441222320
1141a2a93a03747
121577b098ba040
13740ab786c025
1433444199cc36
1517ad81430780
hexbeb592b2eb0

13105441222320 has 40 divisors (see below), whose sum is σ = 40626867789936. Its totient is φ = 3494784325888.

The previous prime is 13105441222271. The next prime is 13105441222361. The reversal of 13105441222320 is 2322214450131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27303002307 + ... + 27303002786.

Almost surely, 213105441222320 is an apocalyptic number.

13105441222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105441222320 is an abundant number, since it is smaller than the sum of its proper divisors (27521426567616).

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

13105441222320 is a wasteful number, since it uses less digits than its factorization.

13105441222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54606005109 (or 54606005103 counting only the distinct ones).

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

Adding to 13105441222320 its reverse (2322214450131), we get a palindrome (15427655672451).

The spelling of 13105441222320 in words is "thirteen trillion, one hundred five billion, four hundred forty-one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 54606005093 109212010186 163818015279 218424020372 273030025465 327636030558 436848040744 546060050930 655272061116 819090076395 873696081488 1092120101860 1310544122232 1638180152790 2184240203720 2621088244464 3276360305580 4368480407440 6552720611160 13105441222320