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13021322240 = 21057973191
BaseRepresentation
bin11000010000010000…
…11001110000000000
31020121110220201002002
430020020121300000
5203131424302430
65552032043132
7640452261413
oct141010316000
936543821062
1013021322240
115582219143
1226349934a8
1312c6928c04
148b7519b7a
15513264845
hex308219c00

13021322240 has 88 divisors (see below), whose sum is σ = 31284906912. Its totient is φ = 5200363520.

The previous prime is 13021322233. The next prime is 13021322257. The reversal of 13021322240 is 4222312031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 4079045 + ... + 4082235.

Almost surely, 213021322240 is an apocalyptic number.

13021322240 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 13021322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642453456).

13021322240 is an abundant number, since it is smaller than the sum of its proper divisors (18263584672).

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

13021322240 is an equidigital number, since it uses as much as digits as its factorization.

13021322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13021322240 its reverse (4222312031), we get a palindrome (17243634271).

The spelling of 13021322240 in words is "thirteen billion, twenty-one million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 797 1024 1280 1594 2560 3188 3191 3985 5120 6376 6382 7970 12752 12764 15940 15955 25504 25528 31880 31910 51008 51056 63760 63820 102016 102112 127520 127640 204032 204224 255040 255280 408064 408448 510080 510560 816128 816896 1020160 1021120 1633792 2040320 2042240 2543227 3267584 4080640 4084480 5086454 8168960 10172908 12716135 16337920 20345816 25432270 40691632 50864540 81383264 101729080 162766528 203458160 325533056 406916320 651066112 813832640 1302132224 1627665280 2604264448 3255330560 6510661120 13021322240