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111221012212020 = 223251736346736017
BaseRepresentation
bin11001010010011110101000…
…111011001010100100110100
3112120210121212120102212012100
4121102132220323022210310
5104034221113111241040
61032314121101022100
732266311236212134
oct3122365073124464
9476717776385170
10111221012212020
1132490625960167
1210583463b54930
134a0a133b885c9
141d671a8d5aac4
15ccd1a8e5db30
hex6527a8eca934

111221012212020 has 72 divisors (see below), whose sum is σ = 357215721584904. Its totient is φ = 27914293260288.

The previous prime is 111221012211989. The next prime is 111221012212039. The reversal of 111221012212020 is 20212210122111.

It can be written as a sum of positive squares in 4 ways, for example, as 55492338665124 + 55728673546896 = 7449318^2 + 7465164^2 .

It is a super-2 number, since 2×1112210122120202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111221012211984 and 111221012212002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18173364949 + ... + 18173371068.

It is an arithmetic number, because the mean of its divisors is an integer number (4961329466457).

Almost surely, 2111221012212020 is an apocalyptic number.

111221012212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111221012212020 is an abundant number, since it is smaller than the sum of its proper divisors (245994709372884).

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

111221012212020 is a wasteful number, since it uses less digits than its factorization.

111221012212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36346736049 (or 36346736044 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111221012212020 its reverse (20212210122111), we get a palindrome (131433222334131).

The spelling of 111221012212020 in words is "one hundred eleven trillion, two hundred twenty-one billion, twelve million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 36346736017 72693472034 109040208051 145386944068 181733680085 218080416102 327120624153 363467360170 436160832204 545201040255 617894512289 654241248306 726934720340 1090402080510 1235789024578 1308482496612 1635603120765 1853683536867 2180804161020 2471578049156 3089472561445 3271206241530 3707367073734 5561050610601 6178945122890 6542412483060 7414734147468 9268417684335 11122101221202 12357890245780 18536835368670 22244202442404 27805253053005 37073670737340 55610506106010 111221012212020