Search a number
-
+
1012110002020 = 225132299440829
BaseRepresentation
bin11101011101001100111…
…01010000011101100100
310120202102200112021020101
432232212131100131210
5113040300130031040
62052542405513444
7133060013033245
oct16564635203544
93522380467211
101012110002020
1136026278a727
121441a1712884
1374598166600
1436db48daccc
151b4d99b509a
hexeba6750764

1012110002020 has 36 divisors (see below), whose sum is σ = 2301502219380. Its totient is φ = 373702153344.

The previous prime is 1012110001993. The next prime is 1012110002039. The reversal of 1012110002020 is 202000112101.

It can be written as a sum of positive squares in 6 ways, for example, as 148593288484 + 863516713536 = 385478^2 + 929256^2 .

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 = 1012110001988 and 1012110002006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149717035 + ... + 149723794.

It is an arithmetic number, because the mean of its divisors is an integer number (63930617205).

Almost surely, 21012110002020 is an apocalyptic number.

1012110002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012110002020 is an abundant number, since it is smaller than the sum of its proper divisors (1289392217360).

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

1012110002020 is a wasteful number, since it uses less digits than its factorization.

1012110002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299440864 (or 299440849 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012110002020 its reverse (202000112101), we get a palindrome (1214110114121).

The spelling of 1012110002020 in words is "one trillion, twelve billion, one hundred ten million, two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 299440829 598881658 1197763316 1497204145 2994408290 3892730777 5988816580 7785461554 15570923108 19463653885 38927307770 50605500101 77854615540 101211000202 202422000404 253027500505 506055001010 1012110002020