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1005010120 = 23525125253
BaseRepresentation
bin111011111001110…
…011110011001000
32121001002210201001
4323321303303020
54024240310440
6243420504344
733622305442
oct7371636310
92531083631
101005010120
11476335a84
122406ab0b4
131302a275a
1497693492
155d370b9a
hex3be73cc8

1005010120 has 16 divisors (see below), whose sum is σ = 2261272860. Its totient is φ = 402004032.

The previous prime is 1005010099. The next prime is 1005010121. The reversal of 1005010120 is 210105001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 876278404 + 128731716 = 29602^2 + 11346^2 .

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 = 1005010097 and 1005010106.

It is not an unprimeable number, because it can be changed into a prime (1005010121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12562587 + ... + 12562666.

Almost surely, 21005010120 is an apocalyptic number.

1005010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005010120 is an abundant number, since it is smaller than the sum of its proper divisors (1256262740).

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

1005010120 is a wasteful number, since it uses less digits than its factorization.

1005010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25125264 (or 25125260 counting only the distinct ones).

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

The square root of 1005010120 is about 31701.8945806083. The cubic root of 1005010120 is about 1001.6672587036.

Adding to 1005010120 its reverse (210105001), we get a palindrome (1215115121).

The spelling of 1005010120 in words is "one billion, five million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 25125253 50250506 100501012 125626265 201002024 251252530 502505060 1005010120