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11121021220 = 22531414011091
BaseRepresentation
bin10100101101101110…
…10101000100100100
31001201001011102010211
422112313111010210
5140233440134340
65035310025204
7542406056251
oct122667250444
931631142124
1011121021220
114797587931
1221a44a8204
13108301b33a
14776db4428
154514e75ea
hex296dd5124

11121021220 has 96 divisors (see below), whose sum is σ = 24779768832. Its totient is φ = 4185600000.

The previous prime is 11121021199. The next prime is 11121021227. The reversal of 11121021220 is 2212012111.

It is a super-2 number, since 2×111210212202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11121021220.

It is not an unprimeable number, because it can be changed into a prime (11121021227) 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, 10192875 + ... + 10193965.

It is an arithmetic number, because the mean of its divisors is an integer number (258122592).

Almost surely, 211121021220 is an apocalyptic number.

11121021220 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 11121021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12389884416).

11121021220 is an abundant number, since it is smaller than the sum of its proper divisors (13658747612).

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

11121021220 is a wasteful number, since it uses less digits than its factorization.

11121021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11121021220 its reverse (2212012111), we get a palindrome (13333033331).

The spelling of 11121021220 in words is "eleven billion, one hundred twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 401 410 620 802 820 1091 1271 1604 2005 2182 2542 4010 4364 5084 5455 6355 8020 10910 12431 12710 16441 21820 24862 25420 32882 33821 44731 49724 62155 65764 67642 82205 89462 124310 135284 164410 169105 178924 223655 248620 328820 338210 437491 447310 509671 676420 874982 894620 1019342 1386661 1749964 2038684 2187455 2548355 2773322 4374910 5096710 5546644 6933305 8749820 10193420 13562221 13866610 17937131 27124442 27733220 35874262 54248884 67811105 71748524 89685655 135622210 179371310 271244420 358742620 556051061 1112102122 2224204244 2780255305 5560510610 11121021220