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5131115400 = 2335212177027
BaseRepresentation
bin1001100011101011…
…01001101110001000
3111020121002200002010
410301311221232020
541002031143100
62205053335520
7241103522055
oct46165515610
914217080063
105131115400
1121a3420a44
12bb24975a0
1363a077c78
1436967202c
15200705750
hex131d69b88

5131115400 has 96 divisors (see below), whose sum is σ = 15921793440. Its totient is φ = 1366978560.

The previous prime is 5131115393. The next prime is 5131115411. The reversal of 5131115400 is 45111315.

It is a happy number.

It is a super-3 number, since 3×51311154003 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726687 + ... + 733713.

It is an arithmetic number, because the mean of its divisors is an integer number (165852015).

Almost surely, 25131115400 is an apocalyptic number.

5131115400 is a gapful number since it is divisible by the number (50) 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 5131115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960896720).

5131115400 is an abundant number, since it is smaller than the sum of its proper divisors (10790678040).

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

5131115400 is a wasteful number, since it uses less digits than its factorization.

5131115400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8263 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 5131115400 is about 71631.8043888328. The cubic root of 5131115400 is about 1724.7941111127.

Adding to 5131115400 its reverse (45111315), we get a palindrome (5176226715).

The spelling of 5131115400 in words is "five billion, one hundred thirty-one million, one hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1217 2434 3651 4868 6085 7027 7302 9736 12170 14054 14604 18255 21081 24340 28108 29208 30425 35135 36510 42162 48680 56216 60850 70270 73020 84324 91275 105405 121700 140540 146040 168648 175675 182550 210810 243400 281080 351350 365100 421620 527025 702700 730200 843240 1054050 1405400 2108100 4216200 8551859 17103718 25655577 34207436 42759295 51311154 68414872 85518590 102622308 128277885 171037180 205244616 213796475 256555770 342074360 427592950 513111540 641389425 855185900 1026223080 1282778850 1710371800 2565557700 5131115400