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21221310001 = 1713752117489
BaseRepresentation
bin10011110000111000…
…110111111000110001
32000202221122020121111
4103300320313320301
5321430123410001
613425434153321
71350612105313
oct236070677061
960687566544
1021221310001
118aaa970331
124142b82841
132002720888
1410545a17b3
158430b5851
hex4f0e37e31

21221310001 has 16 divisors (see below), whose sum is σ = 22678373520. Its totient is φ = 19788021760.

The previous prime is 21221309987. The next prime is 21221310013. The reversal of 21221310001 is 10001312212.

It can be written as a sum of positive squares in 8 ways, for example, as 1795640625 + 19425669376 = 42375^2 + 139376^2 .

It is not a de Polignac number, because 21221310001 - 213 = 21221301809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21221310031) 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 15 ways as a sum of consecutive naturals, for example, 1204665 + ... + 1222153.

It is an arithmetic number, because the mean of its divisors is an integer number (1417398345).

Almost surely, 221221310001 is an apocalyptic number.

It is an amenable number.

21221310001 is a deficient number, since it is larger than the sum of its proper divisors (1457063519).

21221310001 is a wasteful number, since it uses less digits than its factorization.

21221310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18164.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 21221310001 its reverse (10001312212), we get a palindrome (31222622213).

The spelling of 21221310001 in words is "twenty-one billion, two hundred twenty-one million, three hundred ten thousand, one".

Divisors: 1 17 137 521 2329 8857 17489 71377 297313 1213409 2395993 9111769 40731881 154900073 1248312353 21221310001