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11022311220 = 2235477155051
BaseRepresentation
bin10100100001111101…
…10001111100110100
31001110011102102110220
422100332301330310
5140033202424340
65021422214340
7540100046064
oct122076617464
931404372426
1011022311220
114746897618
1221774243b0
131068739a5b
14767c3b3a4
154479e9ed0
hex290fb1f34

11022311220 has 96 divisors (see below), whose sum is σ = 31963631616. Its totient is φ = 2836176000.

The previous prime is 11022311197. The next prime is 11022311227. The reversal of 11022311220 is 2211322011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11022311220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022311227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172695 + ... + 227745.

It is an arithmetic number, because the mean of its divisors is an integer number (332954496).

Almost surely, 211022311220 is an apocalyptic number.

11022311220 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 11022311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15981815808).

11022311220 is an abundant number, since it is smaller than the sum of its proper divisors (20941320396).

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

11022311220 is a wasteful number, since it uses less digits than its factorization.

11022311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55181 (or 55179 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11022311220 its reverse (2211322011), we get a palindrome (13233633231).

The spelling of 11022311220 in words is "eleven billion, twenty-two million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 71 94 141 142 188 213 235 282 284 355 426 470 564 705 710 852 940 1065 1410 1420 2130 2820 3337 4260 6674 10011 13348 16685 20022 33370 40044 50055 55051 66740 100110 110102 165153 200220 220204 275255 330306 550510 660612 825765 1101020 1651530 2587397 3303060 3908621 5174794 7762191 7817242 10349588 11725863 12936985 15524382 15634484 19543105 23451726 25873970 31048764 38810955 39086210 46903452 51747940 58629315 77621910 78172420 117258630 155243820 183705187 234517260 367410374 551115561 734820748 918525935 1102231122 1837051870 2204462244 2755577805 3674103740 5511155610 11022311220