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2134201300 = 2252711277169
BaseRepresentation
bin111111100110101…
…0101001111010100
312111201212122210121
41333031111033110
513332323420200
6551435201324
7103613261140
oct17715251724
95451778717
102134201300
119a5779030
124b68a6244
1328020420a
14163630220
15c7570e1a
hex7f3553d4

2134201300 has 72 divisors (see below), whose sum is σ = 5774005440. Its totient is φ = 665203200.

The previous prime is 2134201291. The next prime is 2134201309. The reversal of 2134201300 is 31024312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2134201291) and next prime (2134201309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134201309) 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 23 ways as a sum of consecutive naturals, for example, 130885 + ... + 146284.

It is an arithmetic number, because the mean of its divisors is an integer number (80194520).

Almost surely, 22134201300 is an apocalyptic number.

2134201300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134201300 is an abundant number, since it is smaller than the sum of its proper divisors (3639804140).

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

2134201300 is a wasteful number, since it uses less digits than its factorization.

2134201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277201 (or 277194 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2134201300 is about 46197.4165944374. The cubic root of 2134201300 is about 1287.4937417611.

Adding to 2134201300 its reverse (31024312), we get a palindrome (2165225612).

The spelling of 2134201300 in words is "two billion, one hundred thirty-four million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 277169 554338 1108676 1385845 1940183 2771690 3048859 3880366 5543380 6097718 6929225 7760732 9700915 12195436 13858450 15244295 19401830 21342013 27716900 30488590 38803660 42684026 48504575 60977180 76221475 85368052 97009150 106710065 152442950 194018300 213420130 304885900 426840260 533550325 1067100650 2134201300