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13022131120 = 2458910717093
BaseRepresentation
bin11000010000010110…
…11111001110110000
31020121112102210122121
430020023133032300
5203132131143440
65552101244024
7640462200565
oct141013371660
936545383577
1013022131120
115582720939
122635103614
1312c6b5013b
148b768a86c
1551337434a
hex3082df3b0

13022131120 has 80 divisors (see below), whose sum is σ = 30904584480. Its totient is φ = 5101893632.

The previous prime is 13022131103. The next prime is 13022131123. The reversal of 13022131120 is 2113122031.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13022131094 and 13022131103.

It is not an unprimeable number, because it can be changed into a prime (13022131123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753294 + ... + 770386.

It is an arithmetic number, because the mean of its divisors is an integer number (386307306).

Almost surely, 213022131120 is an apocalyptic number.

13022131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15452292240).

13022131120 is an abundant number, since it is smaller than the sum of its proper divisors (17882453360).

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

13022131120 is a wasteful number, since it uses less digits than its factorization.

13022131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17302 (or 17296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13022131120 its reverse (2113122031), we get a palindrome (15135253151).

The spelling of 13022131120 in words is "thirteen billion, twenty-two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 107 178 214 356 428 445 535 712 856 890 1070 1424 1712 1780 2140 3560 4280 7120 8560 9523 17093 19046 34186 38092 47615 68372 76184 85465 95230 136744 152368 170930 190460 273488 341860 380920 683720 761840 1367440 1521277 1828951 3042554 3657902 6085108 7315804 7606385 9144755 12170216 14631608 15212770 18289510 24340432 29263216 30425540 36579020 60851080 73158040 121702160 146316080 162776639 325553278 651106556 813883195 1302213112 1627766390 2604426224 3255532780 6511065560 13022131120