Search a number
-
+
13123222232130 = 2325463314932139
BaseRepresentation
bin1011111011110111110011…
…1111111101110001000010
31201110120022220212111021200
42332331330333331301002
53210002324342412010
643524420340402030
72523056452320513
oct276757477756102
951416286774250
1013123222232130
1141aa58891257a
12157b4506a6316
1374268c5c66ca
1433524b2a2a0a
1517b57247ccc0
hexbef7cffdc42

13123222232130 has 48 divisors (see below), whose sum is σ = 34194072032640. Its totient is φ = 3491967546144.

The previous prime is 13123222232129. The next prime is 13123222232137. The reversal of 13123222232130 is 3123222232131.

13123222232130 is a `hidden beast` number, since 1 + 3 + 12 + 322 + 2 + 2 + 321 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13123222232094 and 13123222232103.

It is not an unprimeable number, because it can be changed into a prime (13123222232137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157424400 + ... + 157507739.

It is an arithmetic number, because the mean of its divisors is an integer number (712376500680).

Almost surely, 213123222232130 is an apocalyptic number.

13123222232130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13123222232130 is an abundant number, since it is smaller than the sum of its proper divisors (21070849800510).

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

13123222232130 is a wasteful number, since it uses less digits than its factorization.

13123222232130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314932615 (or 314932612 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13123222232130 its reverse (3123222232131), we get a palindrome (16246444464261).

Subtracting from 13123222232130 its reverse (3123222232131), we obtain a palindrome (9999999999999).

The spelling of 13123222232130 in words is "thirteen trillion, one hundred twenty-three billion, two hundred twenty-two million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 463 926 1389 2315 2778 4167 4630 6945 8334 13890 20835 41670 314932139 629864278 944796417 1574660695 1889592834 2834389251 3149321390 4723982085 5668778502 9447964170 14171946255 28343892510 145813580357 291627160714 437440741071 729067901785 874881482142 1312322223213 1458135803570 2187203705355 2624644446426 4374407410710 6561611116065 13123222232130