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1014240100 = 225273138937
BaseRepresentation
bin111100011101000…
…001001101100100
32121200110201212011
4330131001031210
54034121140400
6244350404004
734063620136
oct7435011544
92550421764
101014240100
1148056a665
12243800604
13132184993
14989b7056
155e0958ba
hex3c741364

1014240100 has 36 divisors (see below), whose sum is σ = 2231066404. Its totient is φ = 400135680.

The previous prime is 1014240091. The next prime is 1014240109. The reversal of 1014240100 is 10424101.

It is an interprime number because it is at equal distance from previous prime (1014240091) and next prime (1014240109).

It can be written as a sum of positive squares in 6 ways, for example, as 35426304 + 978813796 = 5952^2 + 31286^2 .

It is not an unprimeable number, because it can be changed into a prime (1014240109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62169 + ... + 76768.

Almost surely, 21014240100 is an apocalyptic number.

1014240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014240100 is an abundant number, since it is smaller than the sum of its proper divisors (1216826304).

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

1014240100 is a wasteful number, since it uses less digits than its factorization.

1014240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139024 (or 139017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1014240100 is about 31847.1364489808. The cubic root of 1014240100 is about 1004.7243454122.

Adding to 1014240100 its reverse (10424101), we get a palindrome (1024664201).

The spelling of 1014240100 in words is "one billion, fourteen million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 138937 277874 555748 694685 1389370 2778740 3473425 6946850 10142401 13893700 20284802 40569604 50712005 101424010 202848020 253560025 507120050 1014240100