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10022001002020 = 2257631113448053
BaseRepresentation
bin1001000111010110110111…
…0011110100011000100100
31022111002112110222221211001
42101311231303310120210
52303200024224031040
633152013234523044
72053031345645320
oct221655563643044
938432473887731
1010022001002020
113214341324517
12115a3b7a36484
135790bc26b607
142690d3090980
15125a666bd59a
hex91d6dcf4624

10022001002020 has 48 divisors (see below), whose sum is σ = 24090921163008. Its totient is φ = 3430669092480.

The previous prime is 10022001001997. The next prime is 10022001002029. The reversal of 10022001002020 is 2020010022001.

10022001002020 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 10022001001988 and 10022001002006.

It is not an unprimeable number, because it can be changed into a prime (10022001002029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56635687 + ... + 56812366.

It is an arithmetic number, because the mean of its divisors is an integer number (501894190896).

Almost surely, 210022001002020 is an apocalyptic number.

10022001002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022001002020 is an abundant number, since it is smaller than the sum of its proper divisors (14068920160988).

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

10022001002020 is a wasteful number, since it uses less digits than its factorization.

10022001002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113448700 (or 113448698 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10022001002020 its reverse (2020010022001), we get a palindrome (12042011024021).

The spelling of 10022001002020 in words is "ten trillion, twenty-two billion, one million, two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 631 1262 2524 3155 4417 6310 8834 12620 17668 22085 44170 88340 113448053 226896106 453792212 567240265 794136371 1134480530 1588272742 2268961060 3176545484 3970681855 7941363710 15882727420 71585721443 143171442886 286342885772 357928607215 501100050101 715857214430 1002200100202 1431714428860 2004400200404 2505500250505 5011000501010 10022001002020