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7140122100 = 22325219715881
BaseRepresentation
bin1101010011001010…
…11001110111110100
3200102121101210011200
412221211121313310
5104110332401400
63140301332500
7341640015336
oct65145316764
920377353150
107140122100
11303445a461
121473267130
1389a356a27
144ba3d3456
152bbc96b00
hex1a9959df4

7140122100 has 216 divisors, whose sum is σ = 23894095680. Its totient is φ = 1778112000.

The previous prime is 7140122083. The next prime is 7140122131. The reversal of 7140122100 is 12210417.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1211160 + ... + 1217040.

Almost surely, 27140122100 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 7140122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11947047840).

7140122100 is an abundant number, since it is smaller than the sum of its proper divisors (16753973580).

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

7140122100 is a wasteful number, since it uses less digits than its factorization.

7140122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7140122100 is about 84499.2431918772. The cubic root of 7140122100 is about 1925.6109468010.

Adding to 7140122100 its reverse (12210417), we get a palindrome (7152332517).

The spelling of 7140122100 in words is "seven billion, one hundred forty million, one hundred twenty-two thousand, one hundred".