Search a number
-
+
21203232200010 = 232572233713674133
BaseRepresentation
bin1001101001000110000110…
…00111111001010101001010
32210002000020201010101111200
410310203003013321111022
510234343204420400020
6113032344100005030
74315611600665400
oct464430307712512
983060221111450
1021203232200010
11683527089a903
1224653b3690776
13baa5c1402713
14534355b53470
1526b8286d0590
hex1348c31f954a

21203232200010 has 576 divisors, whose sum is σ = 68792662927872. Its totient is φ = 4506057464832.

The previous prime is 21203232199931. The next prime is 21203232200027. The reversal of 21203232200010 is 1000223230212.

21203232200010 is a `hidden beast` number, since 2 + 120 + 323 + 220 + 0 + 0 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5130225904 + ... + 5130230036.

It is an arithmetic number, because the mean of its divisors is an integer number (119431706472).

Almost surely, 221203232200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21203232200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34396331463936).

21203232200010 is an abundant number, since it is smaller than the sum of its proper divisors (47589430727862).

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

21203232200010 is a wasteful number, since it uses less digits than its factorization.

21203232200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21203232200010 its reverse (1000223230212), we get a palindrome (22203455430222).

The spelling of 21203232200010 in words is "twenty-one trillion, two hundred three billion, two hundred thirty-two million, two hundred thousand, ten".