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13032302221312 = 21111727795727
BaseRepresentation
bin1011110110100101000110…
…1111101001100000000000
31201010212122112211101120121
42331221101233221200000
53202010123332040222
643414542413150024
72513360412062623
oct275512157514000
951125575741517
1013032302221312
114174a71941770
1215658b778b314
13736c2ccc273a
14330aa4119dba
151790004705c7
hexbda51be9800

13032302221312 has 96 divisors (see below), whose sum is σ = 28466309813760. Its totient is φ = 5915618058240.

The previous prime is 13032302221291. The next prime is 13032302221339. The reversal of 13032302221312 is 21312220323031.

It is a super-2 number, since 2×130323022213122 (a number of 27 digits) contains 22 as substring.

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, 15979993 + ... + 16775719.

It is an arithmetic number, because the mean of its divisors is an integer number (296524060560).

Almost surely, 213032302221312 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 13032302221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14233154906880).

13032302221312 is an abundant number, since it is smaller than the sum of its proper divisors (15434007592448).

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

13032302221312 is an equidigital number, since it uses as much as digits as its factorization.

13032302221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796487 (or 796467 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13032302221312 its reverse (21312220323031), we get a palindrome (34344522544343).

The spelling of 13032302221312 in words is "thirteen trillion, thirty-two billion, three hundred two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 727 1024 1408 1454 2048 2816 2908 5632 5816 7997 11264 11632 15994 22528 23264 31988 46528 63976 93056 127952 186112 255904 372224 511808 744448 795727 1023616 1488896 1591454 2047232 3182908 4094464 6365816 8188928 8752997 12731632 16377856 17505994 25463264 35011988 50926528 70023976 101853056 140047952 203706112 280095904 407412224 560191808 578493529 814824448 1120383616 1156987058 1629648896 2240767232 2313974116 4481534464 4627948232 6363428819 8963068928 9255896464 12726857638 17926137856 18511792928 25453715276 37023585856 50907430552 74047171712 101814861104 148094343424 203629722208 296188686848 407259444416 592377373696 814518888832 1184754747392 1629037777664 3258075555328 6516151110656 13032302221312