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11210211111220 = 225112101131350111
BaseRepresentation
bin1010001100100001010010…
…1001101011000100110100
31110200200111212221120002021
42203020110221223010310
52432132003021024340
635501522213122524
72234624324145022
oct243102451530464
943620455846067
1011210211111220
113632250a17100
121310745029444
136341700a8274
142aa811851712
1514690b2dce4a
hexa3214a6b134

11210211111220 has 144 divisors (see below), whose sum is σ = 26331889909248. Its totient is φ = 4005258400000.

The previous prime is 11210211111191. The next prime is 11210211111227. The reversal of 11210211111220 is 2211111201211.

It is a junction number, because it is equal to n+sod(n) for n = 11210211111194 and 11210211111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210211111227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31843965 + ... + 32194075.

It is an arithmetic number, because the mean of its divisors is an integer number (182860346592).

Almost surely, 211210211111220 is an apocalyptic number.

11210211111220 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 11210211111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165944954624).

11210211111220 is an abundant number, since it is smaller than the sum of its proper divisors (15121678798028).

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

11210211111220 is a wasteful number, since it uses less digits than its factorization.

11210211111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350374 (or 350361 counting only the distinct ones).

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

Adding to 11210211111220 its reverse (2211111201211), we get a palindrome (13421322312431).

The spelling of 11210211111220 in words is "eleven trillion, two hundred ten billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 131 202 220 242 262 404 484 505 524 605 655 1010 1111 1210 1310 1441 2020 2222 2420 2620 2882 4444 5555 5764 7205 11110 12221 13231 14410 15851 22220 24442 26462 28820 31702 48884 52924 61105 63404 66155 79255 122210 132310 145541 158510 244420 264620 291082 317020 350111 582164 700222 727705 1400444 1455410 1600951 1750555 2910820 3201902 3501110 3851221 6403804 7002220 7702442 8004755 15404884 16009510 19256105 32019020 35361211 38512210 42363431 45864541 70722422 77024420 84726862 91729082 141444844 169453724 176806055 183458164 211817155 229322705 353612110 388973321 423634310 458645410 504509951 707224220 777946642 847268620 917290820 1009019902 1555893284 1944866605 2018039804 2522549755 3889733210 4278706531 4632318641 5045099510 5549609461 7779466420 8557413062 9264637282 10090199020 11099218922 17114826124 18529274564 21393532655 22198437844 23161593205 27748047305 42787065310 46323186410 50955505051 55496094610 85574130620 92646372820 101911010102 110992189220 203822020204 254777525255 509555050510 560510555561 1019110101020 1121021111122 2242042222244 2802552777805 5605105555610 11210211111220