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221144310321 = 31153203962011
BaseRepresentation
bin1100110111110100111…
…0100110001000110001
3210010210221000221101220
43031331032212020301
512110400420412241
6245331534015253
721656106423414
oct3157516461061
9703727027356
10221144310321
118587221a530
1236a38947529
1317b13ac01bc
14a9bc35bb7b
155b448ca166
hex337d3a6231

221144310321 has 32 divisors (see below), whose sum is σ = 327899612160. Its totient is φ = 131431435200.

The previous prime is 221144310307. The next prime is 221144310329. The reversal of 221144310321 is 123013441122.

It is not a de Polignac number, because 221144310321 - 27 = 221144310193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221144310291 and 221144310300.

It is not an unprimeable number, because it can be changed into a prime (221144310329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3535206 + ... + 3597216.

It is an arithmetic number, because the mean of its divisors is an integer number (10246862880).

Almost surely, 2221144310321 is an apocalyptic number.

It is an amenable number.

221144310321 is a deficient number, since it is larger than the sum of its proper divisors (106755301839).

221144310321 is a wasteful number, since it uses less digits than its factorization.

221144310321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64117.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221144310321 its reverse (123013441122), we get a palindrome (344157751443).

The spelling of 221144310321 in words is "two hundred twenty-one billion, one hundred forty-four million, three hundred ten thousand, three hundred twenty-one".

Divisors: 1 3 11 33 53 159 583 1749 2039 6117 22429 62011 67287 108067 186033 324201 682121 1188737 2046363 3286583 3566211 9859749 36152413 108457239 126440429 379321287 1390844719 4172534157 6701342737 20104028211 73714770107 221144310321