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13105324115420 = 22531499346912211
BaseRepresentation
bin1011111010110101001000…
…1100000100010111011100
31201101212010120101221212012
42332231102030010113130
53204204200433143140
643512300333530352
72521554101663315
oct276552214042734
951355116357765
1013105324115420
1141a2a33898589
121577a966439b8
13740a99518bc4
143344301d760c
1517ad75eec265
hexbeb523045dc

13105324115420 has 96 divisors (see below), whose sum is σ = 28476430080000. Its totient is φ = 5060988345600.

The previous prime is 13105324115419. The next prime is 13105324115431. The reversal of 13105324115420 is 2451142350131.

13105324115420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073233115 + ... + 1073245325.

It is an arithmetic number, because the mean of its divisors is an integer number (296629480000).

Almost surely, 213105324115420 is an apocalyptic number.

13105324115420 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 13105324115420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238215040000).

13105324115420 is an abundant number, since it is smaller than the sum of its proper divisors (15371105964580).

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

13105324115420 is a wasteful number, since it uses less digits than its factorization.

13105324115420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16219 (or 16217 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 13105324115420 its reverse (2451142350131), we get a palindrome (15556466465551).

The spelling of 13105324115420 in words is "thirteen trillion, one hundred five billion, three hundred twenty-four million, one hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 499 620 998 1996 2495 3469 4990 6938 9980 12211 13876 15469 17345 24422 30938 34690 48844 61055 61876 69380 77345 107539 122110 154690 215078 244220 309380 378541 430156 537695 757082 1075390 1514164 1731031 1892705 2150780 3462062 3785410 6093289 6924124 7570820 8655155 12186578 17310310 24373156 30466445 34620620 42359959 53661961 60932890 84719918 107323922 121865780 169439836 188891959 211799795 214647844 268309805 377783918 423599590 536619610 755567836 847199180 944459795 1073239220 1313158729 1888919590 2626317458 3777839180 5252634916 6565793645 13131587290 21137619541 26263174580 42275239082 84550478164 105688097705 211376195410 422752390820 655266205771 1310532411542 2621064823084 3276331028855 6552662057710 13105324115420