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1001310220020 = 2235111517136697
BaseRepresentation
bin11101001001000101011…
…11010110111011110100
310112201120000211111110110
432210202233112323310
5112401140404020040
62043555013023020
7132225254303325
oct16444257267364
93481500744413
101001310220020
11356720573660
12142088924a70
1373566871566
143666c46844c
151b0a67c4980
hexe922bd6ef4

1001310220020 has 48 divisors (see below), whose sum is σ = 3058547583168. Its totient is φ = 242741871360.

The previous prime is 1001310220013. The next prime is 1001310220021. The reversal of 1001310220020 is 200220131001.

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 = 1001310219978 and 1001310220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001310220021) by changing a digit.

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, 758567689 + ... + 758569008.

It is an arithmetic number, because the mean of its divisors is an integer number (63719741316).

Almost surely, 21001310220020 is an apocalyptic number.

1001310220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001310220020 is an abundant number, since it is smaller than the sum of its proper divisors (2057237363148).

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

1001310220020 is a wasteful number, since it uses less digits than its factorization.

1001310220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517136720 (or 1517136718 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1001310220020 its reverse (200220131001), we get a palindrome (1201530351021).

The spelling of 1001310220020 in words is "one trillion, one billion, three hundred ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1517136697 3034273394 4551410091 6068546788 7585683485 9102820182 15171366970 16688503667 18205640364 22757050455 30342733940 33377007334 45514100910 50065511001 66754014668 83442518335 91028201820 100131022002 166885036670 200262044004 250327555005 333770073340 500655110010 1001310220020