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2134698100 = 225221346981
BaseRepresentation
bin111111100111100…
…1110100001110100
312111202210220021121
41333033032201310
513332440314400
6551453553324
7103620430423
oct17717164164
95452726247
102134698100
119a5a88307
124b6aa5844
13280349392
1416371d2ba
15c761d21a
hex7f3ce874

2134698100 has 18 divisors (see below), whose sum is σ = 4632295094. Its totient is φ = 853879200.

The previous prime is 2134698079. The next prime is 2134698101. The reversal of 2134698100 is 18964312.

It can be written as a sum of positive squares in 3 ways, for example, as 455993316 + 1678704784 = 21354^2 + 40972^2 .

It is a super-2 number, since 2×21346981002 = 9113871956287220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134698101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10673391 + ... + 10673590.

Almost surely, 22134698100 is an apocalyptic number.

2134698100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134698100 is an abundant number, since it is smaller than the sum of its proper divisors (2497596994).

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

2134698100 is a wasteful number, since it uses less digits than its factorization.

2134698100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21346995 (or 21346988 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 2134698100 is about 46202.7932056061. The cubic root of 2134698100 is about 1287.5936350665.

The spelling of 2134698100 in words is "two billion, one hundred thirty-four million, six hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21346981 42693962 85387924 106734905 213469810 426939620 533674525 1067349050 2134698100