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1100112122220 = 2235372179227419
BaseRepresentation
bin10000000000100011110…
…010101101000101101100
310220011120201001011111120
4100000203302231011230
5121011012200402340
62201215020420540
7142323542515326
oct20004362550554
93804521034446
101100112122220
11394611682091
121592613a7750
137c9810a4597
143b362332616
151d93a74c4d0
hex10023cad16c

1100112122220 has 96 divisors (see below), whose sum is σ = 3165031430400. Its totient is φ = 285302248704.

The previous prime is 1100112122201. The next prime is 1100112122227. The reversal of 1100112122220 is 222212110011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1100112122220.

It is not an unprimeable number, because it can be changed into a prime (1100112122227) 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, 4723671 + ... + 4951089.

It is an arithmetic number, because the mean of its divisors is an integer number (32969077400).

Almost surely, 21100112122220 is an apocalyptic number.

1100112122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100112122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582515715200).

1100112122220 is an abundant number, since it is smaller than the sum of its proper divisors (2064919308180).

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

1100112122220 is a wasteful number, since it uses less digits than its factorization.

1100112122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229647 (or 229645 counting only the distinct ones).

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

Adding to 1100112122220 its reverse (222212110011), we get a palindrome (1322324232231).

The spelling of 1100112122220 in words is "one trillion, one hundred billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2179 2220 4358 6537 8716 10895 13074 21790 26148 32685 43580 65370 80623 130740 161246 227419 241869 322492 403115 454838 483738 682257 806230 909676 967476 1137095 1209345 1364514 1612460 2274190 2418690 2729028 3411285 4548380 4837380 6822570 8414503 13645140 16829006 25243509 33658012 42072515 50487018 84145030 100974036 126217545 168290060 252435090 495546001 504870180 991092002 1486638003 1982184004 2477730005 2973276006 4955460010 5946552012 7433190015 9910920020 14866380030 18335202037 29732760060 36670404074 55005606111 73340808148 91676010185 110011212222 183352020370 220022424444 275028030555 366704040740 550056061110 1100112122220