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10010012122020 = 2235262163652627
BaseRepresentation
bin1001000110101010001100…
…1101110111101110100100
31022102221120221210202020110
42101222203031313232210
52303001001100401040
633142311443333020
72052125301104361
oct221524315675644
938387527722213
1010010012122020
11320a249978529
121158010981170
13577c2b4cb391
142686b6b29468
151255b3de7980
hex91aa3377ba4

10010012122020 has 48 divisors (see below), whose sum is σ = 28038728023488. Its totient is φ = 2668318081920.

The previous prime is 10010012122001. The next prime is 10010012122039. The reversal of 10010012122020 is 2022121001001.

It is an interprime number because it is at equal distance from previous prime (10010012122001) and next prime (10010012122039).

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 = 10010012121987 and 10010012122005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31669054 + ... + 31983573.

It is an arithmetic number, because the mean of its divisors is an integer number (584140167156).

Almost surely, 210010012122020 is an apocalyptic number.

10010012122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010012122020 is an abundant number, since it is smaller than the sum of its proper divisors (18028715901468).

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

10010012122020 is a wasteful number, since it uses less digits than its factorization.

10010012122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63655260 (or 63655258 counting only the distinct ones).

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

Adding to 10010012122020 its reverse (2022121001001), we get a palindrome (12032133123021).

The spelling of 10010012122020 in words is "ten trillion, ten billion, twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2621 5242 7863 10484 13105 15726 26210 31452 39315 52420 78630 157260 63652627 127305254 190957881 254610508 318263135 381915762 636526270 763831524 954789405 1273052540 1909578810 3819157620 166833535367 333667070734 500500606101 667334141468 834167676835 1001001212202 1668335353670 2002002424404 2502503030505 3336670707340 5005006061010 10010012122020