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21431134100 = 2252214311341
BaseRepresentation
bin10011111101011001…
…010010011110010100
32001022120110102011102
4103331121102132110
5322342332242400
613502331325232
71356040430345
oct237531223624
961276412142
1021431134100
1190a8353282
1241a12b0818
13203703764c
1410743c00cc
158567109d5
hex4fd652794

21431134100 has 18 divisors (see below), whose sum is σ = 46505561214. Its totient is φ = 8572453600.

The previous prime is 21431134073. The next prime is 21431134157. The reversal of 21431134100 is 143113412.

It can be written as a sum of positive squares in 3 ways, for example, as 344028304 + 21087105796 = 18548^2 + 145214^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 107155571 + ... + 107155770.

Almost surely, 221431134100 is an apocalyptic number.

21431134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21431134100 is an abundant number, since it is smaller than the sum of its proper divisors (25074427114).

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

21431134100 is a wasteful number, since it uses less digits than its factorization.

21431134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214311355 (or 214311348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21431134100 its reverse (143113412), we get a palindrome (21574247512).

The spelling of 21431134100 in words is "twenty-one billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 214311341 428622682 857245364 1071556705 2143113410 4286226820 5357783525 10715567050 21431134100