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5510106100 = 2252473833061
BaseRepresentation
bin1010010000110110…
…11000101111110100
3112020000020101120201
411020123120233310
542241041343400
62310432410244
7253355062162
oct51033305764
915200211521
105510106100
1123783472a4
1210993a6984
1369a741915
143a3b28232
15223b1906a
hex1486d8bf4

5510106100 has 72 divisors (see below), whose sum is σ = 12247216128. Its totient is φ = 2150812800.

The previous prime is 5510106097. The next prime is 5510106101. The reversal of 5510106100 is 16010155.

It is a super-2 number, since 2×55101061002 = 60722538466514420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5510106101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1798570 + ... + 1801630.

It is an arithmetic number, because the mean of its divisors is an integer number (170100224).

Almost surely, 25510106100 is an apocalyptic number.

5510106100 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 5510106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123608064).

5510106100 is an abundant number, since it is smaller than the sum of its proper divisors (6737110028).

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

5510106100 is a wasteful number, since it uses less digits than its factorization.

5510106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 5510106100 is about 74230.0889127852. The cubic root of 5510106100 is about 1766.2546592724.

Adding to 5510106100 its reverse (16010155), we get a palindrome (5526116255).

The spelling of 5510106100 in words is "five billion, five hundred ten million, one hundred six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 383 470 766 940 1175 1532 1915 2350 3061 3830 4700 6122 7660 9575 12244 15305 18001 19150 30610 36002 38300 61220 72004 76525 90005 143867 153050 180010 287734 306100 360020 450025 575468 719335 900050 1172363 1438670 1800100 2344726 2877340 3596675 4689452 5861815 7193350 11723630 14386700 23447260 29309075 55101061 58618150 110202122 117236300 220404244 275505305 551010610 1102021220 1377526525 2755053050 5510106100