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221311312124 = 227192944332381
BaseRepresentation
bin1100111000011100101…
…1101010000011111100
3210011020120021111210212
43032013023222003330
512111221143441444
6245400301251552
721663205054220
oct3160713520374
9704216244725
10221311312124
1185948514451
1236a84863bb8
1317b3c592936
14a9d65d0780
155b543b719e
hex33872ea0fc

221311312124 has 96 divisors (see below), whose sum is σ = 483087628800. Its totient is φ = 86558734080.

The previous prime is 221311312063. The next prime is 221311312223. The reversal of 221311312124 is 421213113122.

It is a self number, because there is not a number n which added to its sum of digits gives 221311312124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6818414 + ... + 6850794.

It is an arithmetic number, because the mean of its divisors is an integer number (5032162800).

Almost surely, 2221311312124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221311312124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241543814400).

221311312124 is an abundant number, since it is smaller than the sum of its proper divisors (261776316676).

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

221311312124 is a wasteful number, since it uses less digits than its factorization.

221311312124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32883 (or 32881 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

Adding to 221311312124 its reverse (421213113122), we get a palindrome (642524425246).

The spelling of 221311312124 in words is "two hundred twenty-one billion, three hundred eleven million, three hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 406 443 532 551 812 886 1102 1772 2204 3101 3857 6202 7714 8417 12404 12847 15428 16834 25694 32381 33668 51388 58919 64762 89929 117838 129524 179858 226667 235676 244093 359716 453334 488186 615239 906668 939049 976372 1230478 1708651 1878098 2460956 3417302 3756196 4306673 6573343 6834604 8613346 13146686 14344783 17226692 17841931 26293372 28689566 35683862 57379132 71367724 100413481 124893517 200826962 249787034 272550877 401653924 415998707 499574068 545101754 831997414 1090203508 1663994828 1907856139 2911990949 3815712278 5823981898 7631424556 7903975433 11647963796 15807950866 31615901732 55327828031 110655656062 221311312124