Search a number
-
+
1002112010020 = 225114555054591
BaseRepresentation
bin11101001010100101000…
…01111100011100100100
310112210121220112122120101
432211102201330130210
5112404311133310040
62044210334113444
7132254161353442
oct16452241743444
93483556478511
101002112010020
11356aa2117320
1214227134b884
1373663a00104
1436706b3bb92
151b101da209a
hexe95287c724

1002112010020 has 24 divisors (see below), whose sum is σ = 2295747514368. Its totient is φ = 364404367200.

The previous prime is 1002112009967. The next prime is 1002112010021. The reversal of 1002112010020 is 200102112001.

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 = 1002112009979 and 1002112010006.

It is not an unprimeable number, because it can be changed into a prime (1002112010021) 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 7 ways as a sum of consecutive naturals, for example, 2277527076 + ... + 2277527515.

It is an arithmetic number, because the mean of its divisors is an integer number (95656146432).

Almost surely, 21002112010020 is an apocalyptic number.

1002112010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002112010020 is an abundant number, since it is smaller than the sum of its proper divisors (1293635504348).

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

1002112010020 is a wasteful number, since it uses less digits than its factorization.

1002112010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555054611 (or 4555054609 counting only the distinct ones).

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

Adding to 1002112010020 its reverse (200102112001), we get a palindrome (1202214122021).

The spelling of 1002112010020 in words is "one trillion, two billion, one hundred twelve million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 4555054591 9110109182 18220218364 22775272955 45550545910 50105600501 91101091820 100211201002 200422402004 250528002505 501056005010 1002112010020