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5110110720 = 293351121347
BaseRepresentation
bin1001100001001011…
…00001101000000000
3111012010120112002000
410300211201220000
540431142020340
62203023224000
7240430136661
oct46045415000
914163515060
105110110720
112192584900
12ba7448000
13635902470
14366965368
151ed956d30
hex130961a00

5110110720 has 960 divisors, whose sum is σ = 21943595520. Its totient is φ = 1119191040.

The previous prime is 5110110713. The next prime is 5110110763. The reversal of 5110110720 is 270110115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×51101107202 = 52226463141317836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5110110693 and 5110110702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108725737 + ... + 108725783.

It is an arithmetic number, because the mean of its divisors is an integer number (22857912).

Almost surely, 25110110720 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 5110110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10971797760).

5110110720 is an abundant number, since it is smaller than the sum of its proper divisors (16833484800).

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

5110110720 is a wasteful number, since it uses less digits than its factorization.

5110110720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 5110110720 is about 71485.0384346263. The cubic root of 5110110720 is about 1722.4373593162.

Adding to 5110110720 its reverse (270110115), we get a palindrome (5380220835).

The spelling of 5110110720 in words is "five billion, one hundred ten million, one hundred ten thousand, seven hundred twenty".