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11222220211220 = 22517106573097169
BaseRepresentation
bin1010001101001110000001…
…1100110000010000010100
31110201211111211012001021202
42203103200130300100110
52432331101333224340
635511230005532032
72235531035622254
oct243234034602024
943654454161252
1011222220211220
113637353823737
121312b36a14018
136353350a7ab5
142ab23075b964
15146db0759c15
hexa34e0730414

11222220211220 has 48 divisors (see below), whose sum is σ = 24955286222160. Its totient is φ = 4224438042624.

The previous prime is 11222220211117. The next prime is 11222220211273. The reversal of 11222220211220 is 2211202222211.

It can be written as a sum of positive squares in 8 ways, for example, as 1211311555216 + 10010908656004 = 1100596^2 + 3164002^2 .

It is a super-2 number, since 2×112222202112202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11222220211192 and 11222220211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2074796 + ... + 5171964.

It is an arithmetic number, because the mean of its divisors is an integer number (519901796295).

Almost surely, 211222220211220 is an apocalyptic number.

11222220211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222220211220 is an abundant number, since it is smaller than the sum of its proper divisors (13733066010940).

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

11222220211220 is a wasteful number, since it uses less digits than its factorization.

11222220211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107852 (or 3107850 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11222220211220 its reverse (2211202222211), we get a palindrome (13433422433431).

The spelling of 11222220211220 in words is "eleven trillion, two hundred twenty-two billion, two hundred twenty million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 10657 21314 42628 53285 106570 181169 213140 362338 724676 905845 1811690 3097169 3623380 6194338 12388676 15485845 30971690 52651873 61943380 105303746 210607492 263259365 526518730 1053037460 33006530033 66013060066 132026120132 165032650165 330065300330 561111010561 660130600660 1122222021122 2244444042244 2805555052805 5611110105610 11222220211220