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111002000220 = 223252937574723
BaseRepresentation
bin110011101100000111…
…1000001101101011100
3101121111220211212021100
41213120033001231130
53304313003001340
6122554342033100
711006506301616
oct1473017015534
9347456755240
10111002000220
114309180a771
121961a418790
13a60cc87647
1455302d1db6
152d4a071830
hex19d83c1b5c

111002000220 has 144 divisors (see below), whose sum is σ = 357731206560. Its totient is φ = 27807349248.

The previous prime is 111002000201. The next prime is 111002000227. The reversal of 111002000220 is 22000200111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111002000227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 94222 + ... + 480501.

It is an arithmetic number, because the mean of its divisors is an integer number (2484244490).

Almost surely, 2111002000220 is an apocalyptic number.

111002000220 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 111002000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178865603280).

111002000220 is an abundant number, since it is smaller than the sum of its proper divisors (246729206340).

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

111002000220 is a wasteful number, since it uses less digits than its factorization.

111002000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574804 (or 574799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 111002000220 its reverse (22000200111), we get a palindrome (133002200331).

The spelling of 111002000220 in words is "one hundred eleven billion, two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 37 45 58 60 74 87 90 111 116 145 148 174 180 185 222 261 290 333 348 370 435 444 522 555 580 666 740 870 1044 1073 1110 1305 1332 1665 1740 2146 2220 2610 3219 3330 4292 5220 5365 6438 6660 9657 10730 12876 16095 19314 21460 32190 38628 48285 64380 96570 193140 574723 1149446 1724169 2298892 2873615 3448338 5172507 5747230 6896676 8620845 10345014 11494460 16666967 17241690 20690028 21264751 25862535 33333934 34483380 42529502 50000901 51725070 63794253 66667868 83334835 85059004 100001802 103450140 106323755 127588506 150002703 166669670 191382759 200003604 212647510 250004505 255177012 300005406 318971265 333339340 382765518 425295020 500009010 600010812 616677779 637942530 750013515 765531036 956913795 1000018020 1233355558 1275885060 1500027030 1850033337 1913827590 2466711116 3000054060 3083388895 3700066674 3827655180 5550100011 6166777790 7400133348 9250166685 11100200022 12333555580 18500333370 22200400044 27750500055 37000666740 55501000110 111002000220