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13312221024 = 253978831619
BaseRepresentation
bin11000110010111100…
…00101111101100000
31021100202021220012010
430121132011331200
5204230412033044
610040543032520
7650614004004
oct143136057540
937322256163
1013312221024
115711446763
1226b629b740
131341c8b27b
14904000704
1552da76bb9
hex319785f60

13312221024 has 96 divisors (see below), whose sum is σ = 35366647680. Its totient is φ = 4383977472.

The previous prime is 13312221019. The next prime is 13312221029. The reversal of 13312221024 is 42012221331.

13312221024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13312221019) and next prime (13312221029).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312221029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8221687 + ... + 8223305.

It is an arithmetic number, because the mean of its divisors is an integer number (368402580).

Almost surely, 213312221024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683323840).

13312221024 is an abundant number, since it is smaller than the sum of its proper divisors (22054426656).

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

13312221024 is a wasteful number, since it uses less digits than its factorization.

13312221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13312221024 its reverse (42012221331), we get a palindrome (55324442355).

The spelling of 13312221024 in words is "thirteen billion, three hundred twelve million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 883 1164 1552 1619 1766 2328 2649 3104 3238 3532 4656 4857 5298 6476 7064 9312 9714 10596 12952 14128 19428 21192 25904 28256 38856 42384 51808 77712 84768 85651 155424 157043 171302 256953 314086 342604 471129 513906 628172 685208 942258 1027812 1256344 1370416 1429577 1884516 2055624 2512688 2740832 2859154 3769032 4111248 4288731 5025376 5718308 7538064 8222496 8577462 11436616 15076128 17154924 22873232 34309848 45746464 68619696 137239392 138668969 277337938 416006907 554675876 832013814 1109351752 1664027628 2218703504 3328055256 4437407008 6656110512 13312221024