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11100122220 = 223511107157181
BaseRepresentation
bin10100101011001111…
…00110110001101100
31001122120211122002210
422111213212301230
5140213112402340
65033242050420
7542033324235
oct122547466154
931576748083
1011100122220
114786803130
1221994a9a10
13107b8b1975
147742d408c
1544e76a180
hex2959e6c6c

11100122220 has 96 divisors (see below), whose sum is σ = 34222922496. Its totient is φ = 2665772800.

The previous prime is 11100122203. The next prime is 11100122233. The reversal of 11100122220 is 2222100111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11100122196 and 11100122205.

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, 7971 + ... + 149210.

It is an arithmetic number, because the mean of its divisors is an integer number (356488776).

Almost surely, 211100122220 is an apocalyptic number.

11100122220 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 11100122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17111461248).

11100122220 is an abundant number, since it is smaller than the sum of its proper divisors (23122800276).

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

11100122220 is a wasteful number, since it uses less digits than its factorization.

11100122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157311 (or 157309 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11100122220 its reverse (2222100111), we get a palindrome (13322222331).

The spelling of 11100122220 in words is "eleven billion, one hundred million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 132 165 214 220 321 330 428 535 642 660 1070 1177 1284 1605 2140 2354 3210 3531 4708 5885 6420 7062 11770 14124 17655 23540 35310 70620 157181 314362 471543 628724 785905 943086 1571810 1728991 1886172 2357715 3143620 3457982 4715430 5186973 6915964 8644955 9430860 10373946 16818367 17289910 20747892 25934865 33636734 34579820 50455101 51869730 67273468 84091835 100910202 103739460 168183670 185002037 201820404 252275505 336367340 370004074 504551010 555006111 740008148 925010185 1009102020 1110012222 1850020370 2220024444 2775030555 3700040740 5550061110 11100122220