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5123114000 = 24534162477
BaseRepresentation
bin1001100010101110…
…01000010000010000
3111020001001011012222
410301113020100100
540443004122000
62204210040212
7240645515264
oct46127102020
914201034188
105123114000
112199956414
12bab879068
13638506004
1436858c0a4
151eeb74a85
hex1315c8410

5123114000 has 80 divisors (see below), whose sum is σ = 12690031536. Its totient is φ = 1999232000.

The previous prime is 5123113993. The next prime is 5123114011. The reversal of 5123114000 is 4113215.

It can be written as a sum of positive squares in 8 ways, for example, as 3901751296 + 1221362704 = 62464^2 + 34948^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 5123114000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50762 + ... + 113238.

Almost surely, 25123114000 is an apocalyptic number.

5123114000 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 5123114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345015768).

5123114000 is an abundant number, since it is smaller than the sum of its proper divisors (7566917536).

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

5123114000 is a wasteful number, since it uses less digits than its factorization.

5123114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62541 (or 62525 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 5123114000 is about 71575.9317089201. The cubic root of 5123114000 is about 1723.8971035858.

Adding to 5123114000 its reverse (4113215), we get a palindrome (5127227215).

The spelling of 5123114000 in words is "five billion, one hundred twenty-three million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 62477 82000 124954 249908 312385 499816 624770 999632 1249540 1561925 2499080 2561557 3123850 4998160 5123114 6247700 7809625 10246228 12495400 12807785 15619250 20492456 24990800 25615570 31238500 40984912 51231140 62477000 64038925 102462280 124954000 128077850 204924560 256155700 320194625 512311400 640389250 1024622800 1280778500 2561557000 5123114000