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13021440340 = 22523372632909
BaseRepresentation
bin11000010000010001…
…10110100101010100
31020121111010201002011
430020020312211110
5203131442042330
65552034354004
7640453262626
oct141010664524
936544121064
1013021440340
115582299947
122634a2b904
1312c696a8ac
148b754ac16
1551328982a
hex308236954

13021440340 has 96 divisors (see below), whose sum is σ = 29426664960. Its totient is φ = 4827373056.

The previous prime is 13021440329. The next prime is 13021440401. The reversal of 13021440340 is 4304412031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4474806 + ... + 4477714.

It is an arithmetic number, because the mean of its divisors is an integer number (306527760).

Almost surely, 213021440340 is an apocalyptic number.

13021440340 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 13021440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14713332480).

13021440340 is an abundant number, since it is smaller than the sum of its proper divisors (16405224620).

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

13021440340 is a wasteful number, since it uses less digits than its factorization.

13021440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13021440340 its reverse (4304412031), we get a palindrome (17325852371).

The spelling of 13021440340 in words is "thirteen billion, twenty-one million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 263 370 460 526 740 851 1052 1315 1702 2630 2909 3404 4255 5260 5818 6049 8510 9731 11636 12098 14545 17020 19462 24196 29090 30245 38924 48655 58180 60490 66907 97310 107633 120980 133814 194620 215266 223813 267628 334535 430532 447626 538165 669070 765067 895252 1076330 1119065 1338140 1530134 2152660 2238130 2475559 3060268 3825335 4476260 4951118 7650670 9902236 12377795 15301340 17596541 24755590 28307479 35193082 49511180 56614958 70386164 87982705 113229916 141537395 175965410 283074790 351930820 566149580 651072017 1302144034 2604288068 3255360085 6510720170 13021440340