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11202211220 = 22543109119503
BaseRepresentation
bin10100110111011010…
…00010110110010100
31001220200221021212212
422123231002312110
5140420231224340
65051330132552
7544413136634
oct123355026624
931820837785
1011202211220
1148293a1102
122207721158
131096aa7265
14783aaa6c4
154586d3a65
hex29bb42d94

11202211220 has 48 divisors (see below), whose sum is σ = 24292773120. Its totient is φ = 4336488576.

The previous prime is 11202211219. The next prime is 11202211247. The reversal of 11202211220 is 2211220211.

11202211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11202211195 and 11202211204.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33989 + ... + 153491.

It is an arithmetic number, because the mean of its divisors is an integer number (506099440).

Almost surely, 211202211220 is an apocalyptic number.

11202211220 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 11202211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146386560).

11202211220 is an abundant number, since it is smaller than the sum of its proper divisors (13090561900).

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

11202211220 is a wasteful number, since it uses less digits than its factorization.

11202211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119664 (or 119662 counting only the distinct ones).

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

Adding to 11202211220 its reverse (2211220211), we get a palindrome (13413431431).

The spelling of 11202211220 in words is "eleven billion, two hundred two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 109 172 215 218 430 436 545 860 1090 2180 4687 9374 18748 23435 46870 93740 119503 239006 478012 597515 1195030 2390060 5138629 10277258 13025827 20554516 25693145 26051654 51386290 52103308 65129135 102772580 130258270 260516540 560110561 1120221122 2240442244 2800552805 5601105610 11202211220