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221221312401 = 3732833356563
BaseRepresentation
bin1100111000000111010…
…0010101011110010001
3210011000021221001101210
43032001310111132101
512111030123444101
6245343324250333
721661033062315
oct3160164253621
9704007831353
10221221312401
1185901733311
1236a5a6a09a9
1317b26a40b6b
14a9c8683b45
155b4b53a7d6
hex3381d15791

221221312401 has 16 divisors (see below), whose sum is σ = 299108703296. Its totient is φ = 145408836096.

The previous prime is 221221312357. The next prime is 221221312421. The reversal of 221221312401 is 104213122122.

It is a happy number.

It is not a de Polignac number, because 221221312401 - 26 = 221221312337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221221312421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442146 + ... + 798708.

It is an arithmetic number, because the mean of its divisors is an integer number (18694293956).

Almost surely, 2221221312401 is an apocalyptic number.

It is an amenable number.

221221312401 is a deficient number, since it is larger than the sum of its proper divisors (77887390895).

221221312401 is a wasteful number, since it uses less digits than its factorization.

221221312401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359472.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 221221312401 its reverse (104213122122), we get a palindrome (325434434523).

The spelling of 221221312401 in words is "two hundred twenty-one billion, two hundred twenty-one million, three hundred twelve thousand, four hundred one".

Divisors: 1 3 73 219 2833 8499 206809 356563 620427 1069689 26029099 78087297 1010142979 3030428937 73740437467 221221312401