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13022422413400 = 23521372161219931
BaseRepresentation
bin1011110110000000010011…
…0111001011000001011000
31201002221011000020011000001
42331200010313023001120
53201324410114212100
643410230202422344
72512560524102131
oct275400467130130
951087130204001
1013022422413400
114170861a5a864
1215639bab019b4
1373601719875a
14330407d22c88
15178b22e04d6a
hexbd804dcb058

13022422413400 has 96 divisors (see below), whose sum is σ = 30512384783280. Its totient is φ = 5168530944000.

The previous prime is 13022422413379. The next prime is 13022422413493. The reversal of 13022422413400 is 431422422031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59101435 + ... + 59321365.

Almost surely, 213022422413400 is an apocalyptic number.

13022422413400 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 13022422413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15256192391640).

13022422413400 is an abundant number, since it is smaller than the sum of its proper divisors (17489962369880).

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

13022422413400 is a wasteful number, since it uses less digits than its factorization.

13022422413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222245 (or 222236 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13022422413400 its reverse (431422422031), we get a palindrome (13453844835431).

The spelling of 13022422413400 in words is "thirteen trillion, twenty-two billion, four hundred twenty-two million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 137 200 274 548 685 1096 1370 2161 2740 3425 4322 5480 6850 8644 10805 13700 17288 21610 27400 43220 54025 86440 108050 216100 219931 296057 432200 439862 592114 879724 1099655 1184228 1480285 1759448 2199310 2368456 2960570 4398620 5498275 5921140 7401425 8797240 10996550 11842280 14802850 21993100 29605700 30130547 43986200 59211400 60261094 120522188 150652735 241044376 301305470 475270891 602610940 753263675 950541782 1205221880 1506527350 1901083564 2376354455 3013054700 3802167128 4752708910 6026109400 9505417820 11881772275 19010835640 23763544550 47527089100 65112112067 95054178200 130224224134 260448448268 325560560335 520896896536 651121120670 1302242241340 1627802801675 2604484482680 3255605603350 6511211206700 13022422413400