Search a number
-
+
111122022120 = 233519186126189
BaseRepresentation
bin110011101111101100…
…0110111111011101000
3101121211021200121100220
41213133120313323220
53310034214201440
6123014310330040
711012464413654
oct1473730677350
9347737617326
10111122022120
1143143536a1a
1219652659920
13a62babb515
145542215a64
152d5587d8d0
hex19df637ee8

111122022120 has 128 divisors (see below), whose sum is σ = 351113616000. Its totient is φ = 28056775680.

The previous prime is 111122022119. The next prime is 111122022127. The reversal of 111122022120 is 21220221111.

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 111122022120.

It is not an unprimeable number, because it can be changed into a prime (111122022127) 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, 4229986 + ... + 4256174.

It is an arithmetic number, because the mean of its divisors is an integer number (2743075125).

Almost surely, 2111122022120 is an apocalyptic number.

111122022120 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 111122022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175556808000).

111122022120 is an abundant number, since it is smaller than the sum of its proper divisors (239991593880).

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

111122022120 is a wasteful number, since it uses less digits than its factorization.

111122022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28083 (or 28079 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 111122022120 its reverse (21220221111), we get a palindrome (132342243231).

The spelling of 111122022120 in words is "one hundred eleven billion, one hundred twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1861 2280 3722 5583 7444 9305 11166 14888 18610 22332 26189 27915 35359 37220 44664 52378 55830 70718 74440 78567 104756 106077 111660 130945 141436 157134 176795 209512 212154 223320 261890 282872 314268 353590 392835 424308 497591 523780 530385 628536 707180 785670 848616 995182 1047560 1060770 1414360 1492773 1571340 1990364 2121540 2487955 2985546 3142680 3980728 4243080 4975910 5971092 7463865 9951820 11942184 14927730 19903640 29855460 48737729 59710920 97475458 146213187 194950916 243688645 292426374 389901832 487377290 584852748 731065935 926016851 974754580 1169705496 1462131870 1852033702 1949509160 2778050553 2924263740 3704067404 4630084255 5556101106 5848527480 7408134808 9260168510 11112202212 13890252765 18520337020 22224404424 27780505530 37040674040 55561011060 111122022120