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11101101220 = 22511531675701
BaseRepresentation
bin10100101011010110…
…10101110010100100
31001122122200101001001
422111223111302210
5140213340214340
65033315043044
7542044542406
oct122553256244
931578611031
1011101101220
114787311720
1221998a0484
13107bb65461
147744aab76
1544e8b029a
hex295ad5ca4

11101101220 has 96 divisors (see below), whose sum is σ = 26071186176. Its totient is φ = 3936192000.

The previous prime is 11101101217. The next prime is 11101101227. The reversal of 11101101220 is 2210110111.

11101101220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11101101197 and 11101101206.

It is not an unprimeable number, because it can be changed into a prime (11101101227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944370 + ... + 1950070.

It is an arithmetic number, because the mean of its divisors is an integer number (271574856).

Almost surely, 211101101220 is an apocalyptic number.

11101101220 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 11101101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035593088).

11101101220 is an abundant number, since it is smaller than the sum of its proper divisors (14970084956).

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

11101101220 is a wasteful number, since it uses less digits than its factorization.

11101101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5939 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11101101220 its reverse (2210110111), we get a palindrome (13311211331).

The spelling of 11101101220 in words is "eleven billion, one hundred one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 167 212 220 265 334 530 583 668 835 1060 1166 1670 1837 2332 2915 3340 3674 5701 5830 7348 8851 9185 11402 11660 17702 18370 22804 28505 35404 36740 44255 57010 62711 88510 97361 114020 125422 177020 194722 250844 302153 313555 389444 486805 604306 627110 952067 973610 1208612 1254220 1510765 1904134 1947220 3021530 3323683 3808268 4760335 6043060 6647366 9520670 10472737 13294732 16618415 19041340 20945474 33236830 41890948 50459551 52363685 66473660 100919102 104727370 201838204 209454740 252297755 504595510 555055061 1009191020 1110110122 2220220244 2775275305 5550550610 11101101220