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2100124016 = 243119721493
BaseRepresentation
bin111110100101101…
…0101100101110000
312102100202100112222
41331023111211300
513300112432031
6544220540212
7103020521354
oct17513254560
95370670488
102100124016
11988513291
124a73b1668
13276132443
1415ccbd464
15c458de7b
hex7d2d5970

2100124016 has 40 divisors (see below), whose sum is σ = 4221765504. Its totient is φ = 1010983680.

The previous prime is 2100124009. The next prime is 2100124067. The reversal of 2100124016 is 6104210012.

It is a junction number, because it is equal to n+sod(n) for n = 2100123985 and 2100124003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86966 + ... + 108458.

Almost surely, 22100124016 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 2100124016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110882752).

2100124016 is an abundant number, since it is smaller than the sum of its proper divisors (2121641488).

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

2100124016 is a wasteful number, since it uses less digits than its factorization.

2100124016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21729 (or 21723 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2100124016 is about 45827.1100550755. The cubic root of 2100124016 is about 1280.6043727938.

Adding to 2100124016 its reverse (6104210012), we get a palindrome (8204334028).

The spelling of 2100124016 in words is "two billion, one hundred million, one hundred twenty-four thousand, sixteen".

Divisors: 1 2 4 8 16 31 62 124 197 248 394 496 788 1576 3152 6107 12214 21493 24428 42986 48856 85972 97712 171944 343888 666283 1332566 2665132 4234121 5330264 8468242 10660528 16936484 33872968 67745936 131257751 262515502 525031004 1050062008 2100124016