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5140310100 = 22352374759167
BaseRepresentation
bin1001100100110001…
…01110100001010100
3111021020101210211120
410302120232201110
541011404410400
62210022403540
7241244625552
oct46230564124
914236353746
105140310100
1121a8631072
12bb55905b0
1363bc47113
1436a986bd2
1520141eca0
hex13262e854

5140310100 has 288 divisors, whose sum is σ = 15958978560. Its totient is φ = 1275517440.

The previous prime is 5140310093. The next prime is 5140310107. The reversal of 5140310100 is 10130415.

It is an interprime number because it is at equal distance from previous prime (5140310093) and next prime (5140310107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5140310100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140310107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30780217 + ... + 30780383.

It is an arithmetic number, because the mean of its divisors is an integer number (55413120).

Almost surely, 25140310100 is an apocalyptic number.

5140310100 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 5140310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979489280).

5140310100 is an abundant number, since it is smaller than the sum of its proper divisors (10818668460).

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

5140310100 is a wasteful number, since it uses less digits than its factorization.

5140310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5140310100 is about 71695.9559528988. The cubic root of 5140310100 is about 1725.8237443585.

Adding to 5140310100 its reverse (10130415), we get a palindrome (5150440515).

The spelling of 5140310100 in words is "five billion, one hundred forty million, three hundred ten thousand, one hundred".