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10001022020 = 225111910123689
BaseRepresentation
bin10010101000001101…
…10111110001000100
3221210222200120001222
421110012313301010
5130440230201040
64332220335512
7502556166413
oct112406676104
927728616058
1010001022020
114272352960
121b313a4598
13c34c87712
146ac34b47a
153d8010bb5
hex2541b7c44

10001022020 has 96 divisors (see below), whose sum is σ = 24357110400. Its totient is φ = 3411072000.

The previous prime is 10001022013. The next prime is 10001022023. The reversal of 10001022020 is 2022010001.

It is a junction number, because it is equal to n+sod(n) for n = 10001021989 and 10001022007.

It is not an unprimeable number, because it can be changed into a prime (10001022023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410336 + ... + 434024.

It is an arithmetic number, because the mean of its divisors is an integer number (253719900).

Almost surely, 210001022020 is an apocalyptic number.

10001022020 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 10001022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12178555200).

10001022020 is an abundant number, since it is smaller than the sum of its proper divisors (14356088380).

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

10001022020 is a wasteful number, since it uses less digits than its factorization.

10001022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23829 (or 23827 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10001022020 its reverse (2022010001), we get a palindrome (12023032021).

The spelling of 10001022020 in words is "ten billion, one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 101 110 190 202 209 220 380 404 418 505 836 1010 1045 1111 1919 2020 2090 2222 3838 4180 4444 5555 7676 9595 11110 19190 21109 22220 23689 38380 42218 47378 84436 94756 105545 118445 211090 236890 260579 422180 450091 473780 521158 900182 1042316 1302895 1800364 2250455 2392589 2605790 4500910 4785178 4951001 5211580 9001820 9570356 9902002 11962945 19804004 23925890 24755005 26318479 45459191 47851780 49510010 52636958 90918382 99020020 105273916 131592395 181836764 227295955 263184790 454591910 500051101 526369580 909183820 1000102202 2000204404 2500255505 5000511010 10001022020