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214222331001 = 3714897684773
BaseRepresentation
bin1100011110000010100…
…1010101110001111001
3202110221112002221212110
43013200221111301321
512002211404043001
6242225024002533
721322425524610
oct3074051256171
9673845087773
10214222331001
118293aa14a68
1235626760449
131727ca03753
14a522d10877
15588bd733d6
hex31e0a55c79

214222331001 has 16 divisors (see below), whose sum is σ = 326456417664. Its totient is φ = 122404364544.

The previous prime is 214222330997. The next prime is 214222331003. The reversal of 214222331001 is 100133222412.

214222331001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214222331001 - 22 = 214222330997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (214222331003) 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, 29550 + ... + 655223.

It is an arithmetic number, because the mean of its divisors is an integer number (20403526104).

Almost surely, 2214222331001 is an apocalyptic number.

214222331001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214222331001 is a deficient number, since it is larger than the sum of its proper divisors (112234086663).

214222331001 is a wasteful number, since it uses less digits than its factorization.

214222331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699680.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 214222331001 its reverse (100133222412), we get a palindrome (314355553413).

The spelling of 214222331001 in words is "two hundred fourteen billion, two hundred twenty-two million, three hundred thirty-one thousand, one".

Divisors: 1 3 7 21 14897 44691 104279 312837 684773 2054319 4793411 14380233 10201063381 30603190143 71407443667 214222331001