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1001011122020 = 225713550006111
BaseRepresentation
bin11101001000100001110…
…10011000111101100100
310112200210012000202010202
432210100322120331210
5112400032321401040
62043505210210032
7132214663101440
oct16442072307544
93480705022122
101001011122020
11356587755928
12142004723918
13735198cb1b0
143664084b820
151b08a3e3015
hexe910e98f64

1001011122020 has 48 divisors (see below), whose sum is σ = 2587228750848. Its totient is φ = 316803519360.

The previous prime is 1001011121989. The next prime is 1001011122029. The reversal of 1001011122020 is 202211101001.

It is a junction number, because it is equal to n+sod(n) for n = 1001011121992 and 1001011122010.

It is not an unprimeable number, because it can be changed into a prime (1001011122029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275001236 + ... + 275004875.

It is an arithmetic number, because the mean of its divisors is an integer number (53900598976).

Almost surely, 21001011122020 is an apocalyptic number.

1001011122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001011122020 is an abundant number, since it is smaller than the sum of its proper divisors (1586217628828).

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

1001011122020 is a wasteful number, since it uses less digits than its factorization.

1001011122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550006140 (or 550006138 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001011122020 its reverse (202211101001), we get a palindrome (1203222223021).

The spelling of 1001011122020 in words is "one trillion, one billion, eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 550006111 1100012222 2200024444 2750030555 3850042777 5500061110 7150079443 7700085554 11000122220 14300158886 15400171108 19250213885 28600317772 35750397215 38500427770 50050556101 71500794430 77000855540 100101112202 143001588860 200202224404 250252780505 500505561010 1001011122020