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21214065300 = 2235282186131
BaseRepresentation
bin10011110000011101…
…001111001010010100
32000202110000011202020
4103300131033022110
5321421300042200
613425015013140
71350463402611
oct236035171224
960673004666
1021214065300
118aa687227a
12414066a1b0
13200108517c
141053637508
15842633ea0
hex4f074f294

21214065300 has 72 divisors (see below), whose sum is σ = 61454837472. Its totient is φ = 5650128000.

The previous prime is 21214065289. The next prime is 21214065331. The reversal of 21214065300 is 356041212.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 203235 + ... + 289365.

Almost surely, 221214065300 is an apocalyptic number.

21214065300 is a gapful number since it is divisible by the number (20) 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 21214065300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30727418736).

21214065300 is an abundant number, since it is smaller than the sum of its proper divisors (40240772172).

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

21214065300 is a wasteful number, since it uses less digits than its factorization.

21214065300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86969 (or 86962 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 21214065300 in words is "twenty-one billion, two hundred fourteen million, sixty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 821 1642 2463 3284 4105 4926 8210 9852 12315 16420 20525 24630 41050 49260 61575 82100 86131 123150 172262 246300 258393 344524 430655 516786 861310 1033572 1291965 1722620 2153275 2583930 4306550 5167860 6459825 8613100 12919650 25839300 70713551 141427102 212140653 282854204 353567755 424281306 707135510 848562612 1060703265 1414271020 1767838775 2121406530 3535677550 4242813060 5303516325 7071355100 10607032650 21214065300