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111220022320 = 24511259148779
BaseRepresentation
bin110011110010100111…
…0101101110000110000
3101122002010002112100221
41213211032231300300
53310234311203240
6123032131022424
711015064406561
oct1474516556060
9348063075327
10111220022320
1143193891a20
121967b43aa14
13a6461b19c4
145551246168
152d5e28aa4a
hex19e53adc30

111220022320 has 80 divisors (see below), whose sum is σ = 282209080320. Its totient is φ = 40427206400.

The previous prime is 111220022297. The next prime is 111220022341. The reversal of 111220022320 is 23220022111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1112200223202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 111220022294 and 111220022303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2255691 + ... + 2304469.

It is an arithmetic number, because the mean of its divisors is an integer number (3527613504).

Almost surely, 2111220022320 is an apocalyptic number.

111220022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111220022320 is an abundant number, since it is smaller than the sum of its proper divisors (170989058000).

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

111220022320 is a wasteful number, since it uses less digits than its factorization.

111220022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51394 (or 51388 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 111220022320 its reverse (23220022111), we get a palindrome (134440044431).

The spelling of 111220022320 in words is "one hundred eleven billion, two hundred twenty million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2591 5182 10364 12955 20728 25910 28501 41456 48779 51820 57002 97558 103640 114004 142505 195116 207280 228008 243895 285010 390232 456016 487790 536569 570020 780464 975580 1073138 1140040 1951160 2146276 2280080 2682845 3902320 4292552 5365690 8585104 10731380 21462760 42925520 126386389 252772778 505545556 631931945 1011091112 1263863890 1390250279 2022182224 2527727780 2780500558 5055455560 5561001116 6951251395 10110911120 11122002232 13902502790 22244004464 27805005580 55610011160 111220022320