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1010142340 = 225233321649
BaseRepresentation
bin111100001101011…
…000110010000100
32121101202112210021
4330031120302010
54032044023330
6244122504524
734014032254
oct7415306204
92541675707
101010142340
11479220989
12242365144
1313137b77c
149822b964
155da3667a
hex3c358c84

1010142340 has 24 divisors (see below), whose sum is σ = 2122306200. Its totient is φ = 403865088.

The previous prime is 1010142323. The next prime is 1010142361. The reversal of 1010142340 is 432410101.

It can be written as a sum of positive squares in 4 ways, for example, as 31203396 + 978938944 = 5586^2 + 31288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35836 + ... + 57484.

It is an arithmetic number, because the mean of its divisors is an integer number (88429425).

Almost surely, 21010142340 is an apocalyptic number.

1010142340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010142340 is an abundant number, since it is smaller than the sum of its proper divisors (1112163860).

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

1010142340 is a wasteful number, since it uses less digits than its factorization.

1010142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23991 (or 23989 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1010142340 is about 31782.7365089918. The cubic root of 1010142340 is about 1003.3694142964.

Adding to 1010142340 its reverse (432410101), we get a palindrome (1442552441).

It can be divided in two parts, 10101 and 42340, that added together give a square (52441 = 2292).

The spelling of 1010142340 in words is "one billion, ten million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 2333 4666 9332 11665 21649 23330 43298 46660 86596 108245 216490 432980 50507117 101014234 202028468 252535585 505071170 1010142340