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11220001110 = 23252910939439
BaseRepresentation
bin10100111001100001…
…11010000101010110
31001221221102010000200
422130300322011112
5140434310013420
65053203321330
7545020302333
oct123460720526
931857363020
1011220001110
11483844199a
122211680246
13109a695716
147861bb98a
1545a049b90
hex29cc3a156

11220001110 has 96 divisors (see below), whose sum is σ = 30455568000. Its totient is φ = 2862252288.

The previous prime is 11220001109. The next prime is 11220001127. The reversal of 11220001110 is 1110002211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11220001092 and 11220001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264771 + ... + 304209.

It is an arithmetic number, because the mean of its divisors is an integer number (317245500).

Almost surely, 211220001110 is an apocalyptic number.

11220001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15227784000).

11220001110 is an abundant number, since it is smaller than the sum of its proper divisors (19235566890).

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

11220001110 is a wasteful number, since it uses less digits than its factorization.

11220001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39590 (or 39587 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11220001110 its reverse (1110002211), we get a palindrome (12330003321).

The spelling of 11220001110 in words is "eleven billion, two hundred twenty million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 109 145 174 218 261 290 327 435 522 545 654 870 981 1090 1305 1635 1962 2610 3161 3270 4905 6322 9483 9810 15805 18966 28449 31610 39439 47415 56898 78878 94830 118317 142245 197195 236634 284490 354951 394390 591585 709902 1143731 1183170 1774755 2287462 3431193 3549510 4298851 5718655 6862386 8597702 10293579 11437310 12896553 17155965 20587158 21494255 25793106 34311930 38689659 42988510 51467895 64482765 77379318 102935790 124666679 128965530 193448295 249333358 374000037 386896590 623333395 748000074 1122000111 1246666790 1870000185 2244000222 3740000370 5610000555 11220001110