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11122013220 = 2235318297213
BaseRepresentation
bin10100101101110110…
…00111010000100100
31001201010000210220120
422112323013100210
5140234213410340
65035343201540
7542420360343
oct122673072044
931633023816
1011122013220
1147980a516a
1221a48a62b0
1310832a7a16
14777191b5a
154516414d0
hex296ec7424

11122013220 has 96 divisors (see below), whose sum is σ = 32189445120. Its totient is φ = 2866337280.

The previous prime is 11122013219. The next prime is 11122013237. The reversal of 11122013220 is 2231022111.

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 11122013220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538334 + ... + 1545546.

It is an arithmetic number, because the mean of its divisors is an integer number (335306720).

Almost surely, 211122013220 is an apocalyptic number.

11122013220 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 11122013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094722560).

11122013220 is an abundant number, since it is smaller than the sum of its proper divisors (21067431900).

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

11122013220 is a wasteful number, since it uses less digits than its factorization.

11122013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8085 (or 8083 counting only the distinct ones).

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

Adding to 11122013220 its reverse (2231022111), we get a palindrome (13353035331).

The spelling of 11122013220 in words is "eleven billion, one hundred twenty-two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 829 930 1658 1860 2487 3316 4145 4974 7213 8290 9948 12435 14426 16580 21639 24870 25699 28852 36065 43278 49740 51398 72130 77097 86556 102796 108195 128495 144260 154194 216390 223603 256990 308388 385485 432780 447206 513980 670809 770970 894412 1118015 1341618 1541940 2236030 2683236 3354045 4472060 5979577 6708090 11959154 13416180 17938731 23918308 29897885 35877462 59795770 71754924 89693655 119591540 179387310 185366887 358774620 370733774 556100661 741467548 926834435 1112201322 1853668870 2224402644 2780503305 3707337740 5561006610 11122013220