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110002050020 = 225192112313567
BaseRepresentation
bin110011001110010100…
…0100001001111100100
3101111221020021010110202
41212130220201033210
53300241011100040
6122311221410032
710642644666122
oct1463450411744
9344836233422
10110002050020
1142719320345
121939b569918
13a4b0a67035
145477598912
152cdc3a0015
hex199ca213e4

110002050020 has 72 divisors (see below), whose sum is σ = 244037412864. Its totient is φ = 41644798272.

The previous prime is 110002050017. The next prime is 110002050043. The reversal of 110002050020 is 20050200011.

It is a junction number, because it is equal to n+sod(n) for n = 110002049983 and 110002050010.

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 23 ways as a sum of consecutive naturals, for example, 8101277 + ... + 8114843.

It is an arithmetic number, because the mean of its divisors is an integer number (3389408512).

Almost surely, 2110002050020 is an apocalyptic number.

110002050020 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 110002050020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122018706432).

110002050020 is an abundant number, since it is smaller than the sum of its proper divisors (134035362844).

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

110002050020 is a wasteful number, since it uses less digits than its factorization.

110002050020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14737 (or 14716 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

Adding to 110002050020 its reverse (20050200011), we get a palindrome (130052250031).

The spelling of 110002050020 in words is "one hundred ten billion, two million, fifty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1123 1444 1805 2246 3610 4492 5615 7220 11230 13567 21337 22460 27134 42674 54268 67835 85348 106685 135670 213370 257773 271340 405403 426740 515546 810806 1031092 1288865 1621612 2027015 2577730 4054030 4897687 5155460 8108060 9795374 15235741 19590748 24488435 30471482 48976870 60942964 76178705 97953740 152357410 289479079 304714820 578958158 1157916316 1447395395 2894790790 5500102501 5789581580 11000205002 22000410004 27500512505 55001025010 110002050020