Search a number
-
+
1120112111100 = 2235237109925789
BaseRepresentation
bin10000010011001011111…
…000100110110111111100
310222002012112112212111110
4100103023320212313330
5121322442200023400
62214323345522020
7143632264564653
oct20231370466774
93862175485443
101120112111100
113a20450a3814
12161103343310
138181a777128
143c2dc61419a
151e20b4b4e50
hex104cbe26dfc

1120112111100 has 144 divisors (see below), whose sum is σ = 3358988309600. Its totient is φ = 287957099520.

The previous prime is 1120112111081. The next prime is 1120112111113. The reversal of 1120112111100 is 11112110211.

It is a super-2 number, since 2×11201121111002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 747006 + ... + 1672794.

Almost surely, 21120112111100 is an apocalyptic number.

1120112111100 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 1120112111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679494154800).

1120112111100 is an abundant number, since it is smaller than the sum of its proper divisors (2238876198500).

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

1120112111100 is a wasteful number, since it uses less digits than its factorization.

1120112111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925952 (or 925945 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1120112111100 its reverse (11112110211), we get a palindrome (1131224221311).

The spelling of 1120112111100 in words is "one trillion, one hundred twenty billion, one hundred twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 109 111 148 150 185 218 222 300 327 370 436 444 545 555 654 740 925 1090 1110 1308 1635 1850 2180 2220 2725 2775 3270 3700 4033 5450 5550 6540 8066 8175 10900 11100 12099 16132 16350 20165 24198 32700 40330 48396 60495 80660 100825 120990 201650 241980 302475 403300 604950 925789 1209900 1851578 2777367 3703156 4628945 5554734 9257890 11109468 13886835 18515780 23144725 27773670 34254193 46289450 55547340 68508386 69434175 92578900 100911001 102762579 137016772 138868350 171270965 201822002 205525158 277736700 302733003 342541930 403644004 411050316 504555005 513812895 605466006 685083860 856354825 1009110010 1027625790 1210932012 1513665015 1712709650 2018220020 2055251580 2522775025 2569064475 3027330030 3425419300 3733707037 5045550050 5138128950 6054660060 7467414074 7568325075 10091100100 10276257900 11201121111 14934828148 15136650150 18668535185 22402242222 30273300300 37337070370 44804484444 56005605555 74674140740 93342675925 112011211110 186685351850 224022422220 280028027775 373370703700 560056055550 1120112111100