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110011311320 = 23561311144973
BaseRepresentation
bin110011001110100101…
…1110110010011011000
3101111221212200122120212
41212131023312103120
53300300343430240
6122312152110252
710643116501031
oct1463513662330
9344855618525
10110011311320
1142723576509
12193a2695388
13a4b295a5b1
1454788c9a88
152cdd0ce165
hex199d2f64d8

110011311320 has 64 divisors (see below), whose sum is σ = 252393935040. Its totient is φ = 43143667200.

The previous prime is 110011311313. The next prime is 110011311343. The reversal of 110011311320 is 23113110011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110011311295 and 110011311304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686354 + ... + 831326.

It is an arithmetic number, because the mean of its divisors is an integer number (3943655235).

Almost surely, 2110011311320 is an apocalyptic number.

110011311320 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 110011311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126196967520).

110011311320 is an abundant number, since it is smaller than the sum of its proper divisors (142382623720).

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

110011311320 is a wasteful number, since it uses less digits than its factorization.

110011311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145356 (or 145352 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 110011311320 its reverse (23113110011), we get a palindrome (133124421331).

The spelling of 110011311320 in words is "one hundred ten billion, eleven million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 311 488 610 622 1220 1244 1555 2440 2488 3110 6220 12440 18971 37942 75884 94855 144973 151768 189710 289946 379420 579892 724865 758840 1159784 1449730 2899460 5798920 8843353 17686706 35373412 44216765 45086603 70746824 88433530 90173206 176867060 180346412 225433015 353734120 360692824 450866030 901732060 1803464120 2750282783 5500565566 11001131132 13751413915 22002262264 27502827830 55005655660 110011311320