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5430421100 = 2252132924967
BaseRepresentation
bin1010000111010110…
…11010011001101100
3112000110021222022102
411003223122121230
542110141433400
62254504434232
7251366550326
oct50353323154
915013258272
105430421100
112337370825
121076778978
13687091a30
14397304616
1521bb289d5
hex143ada66c

5430421100 has 108 divisors (see below), whose sum is σ = 13145814864. Its totient is φ = 1935548160.

The previous prime is 5430421057. The next prime is 5430421111. The reversal of 5430421100 is 11240345.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 35 ways as a sum of consecutive naturals, for example, 1090817 + ... + 1095783.

It is an arithmetic number, because the mean of its divisors is an integer number (121720508).

Almost surely, 25430421100 is an apocalyptic number.

5430421100 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 5430421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6572907432).

5430421100 is an abundant number, since it is smaller than the sum of its proper divisors (7715393764).

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

5430421100 is a wasteful number, since it uses less digits than its factorization.

5430421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5430421100 is about 73691.3909490111. The cubic root of 5430421100 is about 1757.6989880768.

Adding to 5430421100 its reverse (11240345), we get a palindrome (5441661445).

The spelling of 5430421100 in words is "five billion, four hundred thirty million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 754 841 1300 1450 1508 1682 1885 2900 3364 3770 4205 4967 7540 8410 9425 9934 10933 16820 18850 19868 21025 21866 24835 37700 42050 43732 49670 54665 64571 84100 99340 109330 124175 129142 144043 218660 248350 258284 273325 288086 322855 496700 546650 576172 645710 720215 1093300 1291420 1440430 1614275 1872559 2880860 3228550 3601075 3745118 4177247 6457100 7202150 7490236 8354494 9362795 14404300 16708988 18725590 20886235 37451180 41772470 46813975 54304211 83544940 93627950 104431175 108608422 187255900 208862350 217216844 271521055 417724700 543042110 1086084220 1357605275 2715210550 5430421100