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21132202435104 = 253220127108699
BaseRepresentation
bin1001100111000001110010…
…11010110110001000100000
32202211012220112002110202010
410303200321122312020200
510232212222310410404
6112535555541352520
74310515450645605
oct463407132661040
982735815073663
1021132202435104
1168081313a5162
12245368ba08740
13ba39b1828c27
14530b384826ac
15269a6c9ae189
hex1338396b6220

21132202435104 has 24 divisors (see below), whose sum is σ = 55472031392400. Its totient is φ = 7044067478336.

The previous prime is 21132202435103. The next prime is 21132202435121. The reversal of 21132202435104 is 40153420223112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (21132202435103) 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 3 ways as a sum of consecutive naturals, for example, 110063554254 + ... + 110063554445.

It is an arithmetic number, because the mean of its divisors is an integer number (2311334641350).

Almost surely, 221132202435104 is an apocalyptic number.

21132202435104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21132202435104 is an abundant number, since it is smaller than the sum of its proper divisors (34339828957296).

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

21132202435104 is a wasteful number, since it uses less digits than its factorization.

21132202435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220127108712 (or 220127108704 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 21132202435104 its reverse (40153420223112), we get a palindrome (61285622658216).

The spelling of 21132202435104 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred two million, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 220127108699 440254217398 660381326097 880508434796 1320762652194 1761016869592 2641525304388 3522033739184 5283050608776 7044067478368 10566101217552 21132202435104