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21433130100 = 22325223814589
BaseRepresentation
bin10011111101100000…
…111001110001110100
32001022201012211011100
4103331200321301310
5322343340130400
613502442210100
71356063412524
oct237540716164
961281184140
1021433130100
1190a9496968
1241a1ab3930
132037586005
14107477d684
158569a7100
hex4fd839c74

21433130100 has 54 divisors (see below), whose sum is σ = 67180958390. Its totient is φ = 5715501120.

The previous prime is 21433130099. The next prime is 21433130113. The reversal of 21433130100 is 103133412.

21433130100 is a `hidden beast` number, since 2 + 1 + 433 + 130 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4074013584 + 17359116516 = 63828^2 + 131754^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 11906395 + ... + 11908194.

Almost surely, 221433130100 is an apocalyptic number.

21433130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21433130100 is an abundant number, since it is smaller than the sum of its proper divisors (45747828290).

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

21433130100 is a wasteful number, since it uses less digits than its factorization.

21433130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23814609 (or 23814599 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21433130100 its reverse (103133412), we get a palindrome (21536263512).

The spelling of 21433130100 in words is "twenty-one billion, four hundred thirty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 23814589 47629178 71443767 95258356 119072945 142887534 214331301 238145890 285775068 357218835 428662602 476291780 595364725 714437670 857325204 1071656505 1190729450 1428875340 1786094175 2143313010 2381458900 3572188350 4286626020 5358282525 7144376700 10716565050 21433130100