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110100100222220 = 225173971661949081
BaseRepresentation
bin11001000010001010101101…
…010111010000110100001100
3112102211110121021202221101212
4121002022231113100310030
5103412340001124102340
61030055142054553552
732122320056414243
oct3102125527206414
9472743537687355
10110100100222220
11320992102a9779
12104221789688b8
1349585197a1894
141d28c3240d95a
15cade52647a65
hex6422ad5d0d0c

110100100222220 has 96 divisors (see below), whose sum is σ = 245447231641920. Its totient is φ = 41341712670720.

The previous prime is 110100100222213. The next prime is 110100100222283. The reversal of 110100100222220 is 22222001001011.

It is a junction number, because it is equal to n+sod(n) for n = 110100100222195 and 110100100222204.

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, 2243208080 + ... + 2243257160.

It is an arithmetic number, because the mean of its divisors is an integer number (2556741996270).

Almost surely, 2110100100222220 is an apocalyptic number.

110100100222220 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 110100100222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122723615820960).

110100100222220 is an abundant number, since it is smaller than the sum of its proper divisors (135347131419700).

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

110100100222220 is a wasteful number, since it uses less digits than its factorization.

110100100222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66123 (or 66121 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110100100222220 its reverse (22222001001011), we get a palindrome (132322101223231).

The spelling of 110100100222220 in words is "one hundred ten trillion, one hundred billion, one hundred million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 397 794 1588 1985 3970 6749 7940 13498 16619 26996 33238 33745 49081 66476 67490 83095 98162 134980 166190 196324 245405 282523 332380 490810 565046 834377 981620 1130092 1412615 1668754 2825230 3337508 4171885 5650460 6597743 8343770 13195486 16687540 19485157 26390972 32988715 38970314 65977430 77940628 97425785 112161631 131954860 194851570 224323262 331247669 389703140 448646524 560808155 662495338 815677139 1121616310 1324990676 1631354278 1656238345 2243232620 3262708556 3312476690 4078385695 6624953380 8156771390 13866511363 16313542780 27733022726 55466045452 69332556815 138665113630 277330227260 323823824183 647647648366 1295295296732 1619119120915 3238238241830 5505005011111 6476476483660 11010010022222 22020020044444 27525025055555 55050050111110 110100100222220