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220101211122 = 2313172112573061
BaseRepresentation
bin1100110011111100001…
…1011111001111110010
3210001010020021000022020
43030333003133033302
512101231402223442
6245040232452310
721621212266032
oct3147703371762
9701106230266
10220101211122
1185387439681
12367a754a096
13179a8972940
14a91d9d18c2
155ad30339ec
hex333f0df3f2

220101211122 has 128 divisors (see below), whose sum is σ = 506456955648. Its totient is φ = 63170150400.

The previous prime is 220101211093. The next prime is 220101211123. The reversal of 220101211122 is 221112101022.

It is not an unprimeable number, because it can be changed into a prime (220101211123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71903472 + ... + 71906532.

It is an arithmetic number, because the mean of its divisors is an integer number (3956694966).

Almost surely, 2220101211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220101211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253228477824).

220101211122 is an abundant number, since it is smaller than the sum of its proper divisors (286355744526).

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

220101211122 is a wasteful number, since it uses less digits than its factorization.

220101211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 220101211122 its reverse (221112101022), we get a palindrome (441213312144).

The spelling of 220101211122 in words is "two hundred twenty billion, one hundred one million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 211 221 257 422 442 514 633 663 771 1266 1326 1542 2743 3061 3341 3587 4369 5486 6122 6682 7174 8229 8738 9183 10023 10761 13107 16458 18366 20046 21522 26214 39793 46631 52037 54227 56797 79586 93262 104074 108454 113594 119379 139893 156111 162681 170391 238758 279786 312222 325362 340782 645871 676481 704951 786677 921859 1291742 1352962 1409902 1573354 1843718 1937613 2029443 2114853 2360031 2765577 3875226 4058886 4229706 4720062 5531154 8396323 10226801 10979807 11984167 13373509 16792646 20453602 21959614 23968334 25188969 26747018 30680403 32939421 35952501 40120527 50377938 61360806 65878842 71905002 80241054 142737491 165988847 173855617 285474982 331977694 347711234 428212473 497966541 521566851 856424946 995933082 1043133702 2157855011 2821810399 4315710022 5643620798 6473565033 8465431197 12947130066 16930862394 36683535187 73367070374 110050605561 220101211122