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10020110122020 = 22351397511599803
BaseRepresentation
bin1001000111001111110100…
…0110101011110000100100
31022110220122200222022002110
42101303331012223300210
52303132141142401040
633151101450441020
72052633445511535
oct221637506536044
938426580868073
1010020110122020
113213560a38379
121159b6a733170
13578b7a5abbcb
14268d93cbc68c
151259a56b2980
hex91cfd1abc24

10020110122020 has 96 divisors (see below), whose sum is σ = 28295797340160. Its totient is φ = 2649272112000.

The previous prime is 10020110122003. The next prime is 10020110122049. The reversal of 10020110122020 is 2022101102001.

10020110122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10020110121987 and 10020110122005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5463439 + ... + 7063241.

It is an arithmetic number, because the mean of its divisors is an integer number (294747888960).

Almost surely, 210020110122020 is an apocalyptic number.

10020110122020 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 10020110122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14147898670080).

10020110122020 is an abundant number, since it is smaller than the sum of its proper divisors (18275687218140).

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

10020110122020 is a wasteful number, since it uses less digits than its factorization.

10020110122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600705 (or 1600703 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10020110122020 its reverse (2022101102001), we get a palindrome (12042211224021).

The spelling of 10020110122020 in words is "ten trillion, twenty billion, one hundred ten million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 751 834 1390 1502 1668 2085 2253 2780 3004 3755 4170 4506 7510 8340 9012 11265 15020 22530 45060 104389 208778 313167 417556 521945 626334 1043890 1252668 1565835 1599803 2087780 3131670 3199606 4799409 6263340 6399212 7999015 9598818 15998030 19197636 23997045 31996060 47994090 95988180 222372617 444745234 667117851 889490468 1111863085 1201452053 1334235702 2223726170 2402904106 2668471404 3335589255 3604356159 4447452340 4805808212 6007260265 6671178510 7208712318 12014520530 13342357020 14417424636 18021780795 24029041060 36043561590 72087123180 167001835367 334003670734 501005506101 668007341468 835009176835 1002011012202 1670018353670 2004022024404 2505027530505 3340036707340 5010055061010 10020110122020