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21212031440 = 245299143117
BaseRepresentation
bin10011110000010101…
…011110100111010000
32000202022011211211002
4103300111132213100
5321420240001230
613424503241132
71350440202155
oct236025364720
960668154732
1021212031440
118aa57031a6
12413ba491a8
1320008224c2
14105326822c
15842381545
hex4f055e9d0

21212031440 has 40 divisors (see below), whose sum is σ = 51018598440. Its totient is φ = 8192231936.

The previous prime is 21212031431. The next prime is 21212031443. The reversal of 21212031440 is 4413021212.

It can be written as a sum of positive squares in 4 ways, for example, as 25482304 + 21186549136 = 5048^2 + 145556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212031443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4569239 + ... + 4573878.

It is an arithmetic number, because the mean of its divisors is an integer number (1275464961).

Almost surely, 221212031440 is an apocalyptic number.

21212031440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212031440 is an abundant number, since it is smaller than the sum of its proper divisors (29806567000).

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

21212031440 is a wasteful number, since it uses less digits than its factorization.

21212031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143159 (or 9143153 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21212031440 its reverse (4413021212), we get a palindrome (25625052652).

The spelling of 21212031440 in words is "twenty-one billion, two hundred twelve million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 9143117 18286234 36572468 45715585 73144936 91431170 146289872 182862340 265150393 365724680 530300786 731449360 1060601572 1325751965 2121203144 2651503930 4242406288 5303007860 10606015720 21212031440