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11122111320 = 23351929168211
BaseRepresentation
bin10100101101110110…
…11111001101011000
31001201010012210110220
422112323133031120
5140234230030240
65035345240040
7542421246345
oct122673371530
931633183426
1011122111320
114798161941
1221a4933020
131083310578
147771b97cc
154516605d0
hex296edf358

11122111320 has 128 divisors (see below), whose sum is σ = 36333792000. Its totient is φ = 2712890880.

The previous prime is 11122111313. The next prime is 11122111333. The reversal of 11122111320 is 2311122111.

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 11122111320.

It is a congruent number.

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, 17986 + ... + 150225.

It is an arithmetic number, because the mean of its divisors is an integer number (283857750).

Almost surely, 211122111320 is an apocalyptic number.

11122111320 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 11122111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18166896000).

11122111320 is an abundant number, since it is smaller than the sum of its proper divisors (25211680680).

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

11122111320 is a wasteful number, since it uses less digits than its factorization.

11122111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168273 (or 168269 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11122111320 its reverse (2311122111), we get a palindrome (13433233431).

The spelling of 11122111320 in words is "eleven billion, one hundred twenty-two million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 29 30 38 40 57 58 60 76 87 95 114 116 120 145 152 174 190 228 232 285 290 348 380 435 456 551 570 580 696 760 870 1102 1140 1160 1653 1740 2204 2280 2755 3306 3480 4408 5510 6612 8265 11020 13224 16530 22040 33060 66120 168211 336422 504633 672844 841055 1009266 1345688 1682110 2018532 2523165 3196009 3364220 4037064 4878119 5046330 6392018 6728440 9588027 9756238 10092660 12784036 14634357 15980045 19176054 19512476 20185320 24390595 25568072 29268714 31960090 38352108 39024952 47940135 48781190 58537428 63920180 73171785 76704216 92684261 95880270 97562380 117074856 127840360 146343570 185368522 191760540 195124760 278052783 292687140 370737044 383521080 463421305 556105566 585374280 741474088 926842610 1112211132 1390263915 1853685220 2224422264 2780527830 3707370440 5561055660 11122111320