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1103222123120 = 245132251471253
BaseRepresentation
bin10000000011011101001…
…010011010101001110000
310220110121110001120201002
4100003131022122221300
5121033344330414440
62202451354501132
7142463605215335
oct20033512325160
93813543046632
101103222123120
11395968144867
1215998aa347a8
13800584c16c0
143b5793b098c
151da6d7be115
hex100dd29aa70

1103222123120 has 80 divisors (see below), whose sum is σ = 2763531476832. Its totient is φ = 407161728000.

The previous prime is 1103222123093. The next prime is 1103222123137. The reversal of 1103222123120 is 213212223011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1103222123092 and 1103222123101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2105414 + ... + 2576666.

Almost surely, 21103222123120 is an apocalyptic number.

1103222123120 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 1103222123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381765738416).

1103222123120 is an abundant number, since it is smaller than the sum of its proper divisors (1660309353712).

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

1103222123120 is a wasteful number, since it uses less digits than its factorization.

1103222123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473530 (or 473524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1103222123120 its reverse (213212223011), we get a palindrome (1316434346131).

The spelling of 1103222123120 in words is "one trillion, one hundred three billion, two hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2251 4502 9004 11255 18008 22510 29263 36016 45020 58526 90040 117052 146315 180080 234104 292630 468208 471253 585260 942506 1170520 1885012 2341040 2356265 3770024 4712530 6126289 7540048 9425060 12252578 18850120 24505156 30631445 37700240 49010312 61262890 98020624 122525780 245051560 490103120 1060790503 2121581006 4243162012 5303952515 8486324024 10607905030 13790276539 16972648048 21215810060 27580553078 42431620120 55161106156 68951382695 84863240240 110322212312 137902765390 220644424624 275805530780 551611061560 1103222123120