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21040314100 = 22521321244989
BaseRepresentation
bin10011100110000110…
…011011011011110100
32000022100001200220121
4103212012123123310
5321042310022400
613355450541324
71343253501421
oct234606333364
960270050817
1021040314100
118a17788443
1240b2437844
131ca408b600
141038528d48
1583226221a
hex4e619b6f4

21040314100 has 54 divisors (see below), whose sum is σ = 49439797890. Its totient is φ = 7768725120.

The previous prime is 21040314083. The next prime is 21040314103. The reversal of 21040314100 is 141304012.

It can be written as a sum of positive squares in 9 ways, for example, as 6129950436 + 14910363664 = 78294^2 + 122108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21040314103) 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 17 ways as a sum of consecutive naturals, for example, 605595 + ... + 639394.

Almost surely, 221040314100 is an apocalyptic number.

21040314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21040314100 is an abundant number, since it is smaller than the sum of its proper divisors (28399483790).

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

21040314100 is a wasteful number, since it uses less digits than its factorization.

21040314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245029 (or 1245009 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21040314100 its reverse (141304012), we get a palindrome (21181618112).

The spelling of 21040314100 in words is "twenty-one billion, forty million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 1244989 2489978 4979956 6224945 12449890 16184857 24899780 31124725 32369714 62249450 64739428 80924285 124498900 161848570 210403141 323697140 404621425 420806282 809242850 841612564 1052015705 1618485700 2104031410 4208062820 5260078525 10520157050 21040314100