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1002142420 = 22550107121
BaseRepresentation
bin111011101110110…
…111101011010100
32120211201002221221
4323232313223110
54023022024140
6243235220124
733556033006
oct7356675324
92524632857
101002142420
11474757484
1223b747644
1312c80a3a6
1497148376
155cea614a
hex3bbb7ad4

1002142420 has 12 divisors (see below), whose sum is σ = 2104499124. Its totient is φ = 400856960.

The previous prime is 1002142411. The next prime is 1002142439. The reversal of 1002142420 is 242412001.

It can be written as a sum of positive squares in 2 ways, for example, as 747803716 + 254338704 = 27346^2 + 15948^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1002142394 and 1002142403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25053541 + ... + 25053580.

It is an arithmetic number, because the mean of its divisors is an integer number (175374927).

Almost surely, 21002142420 is an apocalyptic number.

1002142420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002142420 is an abundant number, since it is smaller than the sum of its proper divisors (1102356704).

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

1002142420 is a wasteful number, since it uses less digits than its factorization.

1002142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50107130 (or 50107128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1002142420 is about 31656.6331121931. The cubic root of 1002142420 is about 1000.7136306102.

Adding to 1002142420 its reverse (242412001), we get a palindrome (1244554421).

It can be divided in two parts, 10021 and 42420, that added together give a square (52441 = 2292).

The spelling of 1002142420 in words is "one billion, two million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 50107121 100214242 200428484 250535605 501071210 1002142420