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1120112221100 = 225259421450949
BaseRepresentation
bin10000010011001011111…
…001000001101110101100
310222002012112202110101112
4100103023321001232230
5121322442212033400
62214323352131152
7143632265533445
oct20231371015654
93862175673345
101120112221100
113a2045169424
12161103396ab8
138181a7b5212
143c2dc6422cc
151e20b4d7835
hex104cbe41bac

1120112221100 has 72 divisors (see below), whose sum is σ = 2477717718000. Its totient is φ = 439403731200.

The previous prime is 1120112221097. The next prime is 1120112221139. The reversal of 1120112221100 is 11222110211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2258426 + ... + 2709374.

Almost surely, 21120112221100 is an apocalyptic number.

1120112221100 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 1120112221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238858859000).

1120112221100 is an abundant number, since it is smaller than the sum of its proper divisors (1357605496900).

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

1120112221100 is a wasteful number, since it uses less digits than its factorization.

1120112221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451443 (or 451436 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1120112221100 its reverse (11222110211), we get a palindrome (1131334331311).

The spelling of 1120112221100 in words is "one trillion, one hundred twenty billion, one hundred twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 421 590 842 1180 1475 1684 2105 2950 4210 5900 8420 10525 21050 24839 42100 49678 99356 124195 248390 450949 496780 620975 901898 1241950 1803796 2254745 2483900 4509490 9018980 11273725 22547450 26605991 45094900 53211982 106423964 133029955 189849529 266059910 379699058 532119820 665149775 759398116 949247645 1330299550 1898495290 2660599100 3796990580 4746238225 9492476450 11201122211 18984952900 22402244422 44804488844 56005611055 112011222110 224022444220 280028055275 560056110550 1120112221100