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220312232012112 = 24317379311783701
BaseRepresentation
bin110010000101111101110000…
…010101000010100101010000
31001220001122101020201012002220
4302011331300111002211100
5212334043422343341422
62100322013035141040
764256014326552012
oct6205756025024520
91056048336635086
10220312232012112
116421a9904963a9
1220861ba08a4780
1395c147b61b0b6
143c592517581b2
151a70c603d3e5c
hexc85f70542950

220312232012112 has 160 divisors (see below), whose sum is σ = 618973005763584. Its totient is φ = 67242212352000.

The previous prime is 220312232012087. The next prime is 220312232012137. The reversal of 220312232012112 is 211210232213022.

It is an interprime number because it is at equal distance from previous prime (220312232012087) and next prime (220312232012137).

It is a super-2 number, since 2×2203122320121122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 280725862 + ... + 281509562.

Almost surely, 2220312232012112 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 220312232012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309486502881792).

220312232012112 is an abundant number, since it is smaller than the sum of its proper divisors (398660773751472).

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

220312232012112 is a wasteful number, since it uses less digits than its factorization.

220312232012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793077 (or 793071 counting only the distinct ones).

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

Adding to 220312232012112 its reverse (211210232213022), we get a palindrome (431522464225134).

The spelling of 220312232012112 in words is "two hundred twenty trillion, three hundred twelve billion, two hundred thirty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 296 408 444 592 629 816 888 1258 1776 1887 2516 3774 5032 7548 9311 10064 15096 18622 27933 30192 37244 55866 74488 111732 148976 158287 223464 316574 344507 446928 474861 633148 689014 783701 949722 1033521 1266296 1378028 1567402 1899444 2067042 2351103 2532592 2756056 3134804 3798888 4134084 4702206 5512112 5856619 6269608 7597776 8268168 9404412 11713238 12539216 13322917 16536336 17569857 18808824 23426476 26645834 28996937 35139714 37617648 39968751 46852952 53291668 57993874 70279428 79937502 86990811 93705904 106583336 115987748 140558856 159875004 173981622 213166672 231975496 281117712 319750008 347963244 463950992 492947929 639500016 695926488 985895858 1391852976 1478843787 1971791716 2957687574 3943583432 5915375148 7297040011 7887166864 11830750296 14594080022 21891120033 23661500592 29188160044 43782240066 58376320088 87564480132 116752640176 124049680187 175128960264 248099360374 269990480407 350257920528 372149040561 496198720748 539980960814 744298081122 809971441221 992397441496 1079961921628 1488596162244 1619942882442 1984794882992 2159923843256 2977192324488 3239885764884 4319847686512 4589838166919 5954384648976 6479771529768 9179676333838 12959543059536 13769514500757 18359352667676 27539029001514 36718705335352 55078058003028 73437410670704 110156116006056 220312232012112