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1300240100 = 225225750593
BaseRepresentation
bin100110110000000…
…0001011011100100
310100121122001002202
41031200001123210
510130330140400
6333004354032
744135600315
oct11540013344
93317561082
101300240100
11607a516a5
12303545918
131794c0353
14c498460c
157923b4d5
hex4d8016e4

1300240100 has 36 divisors (see below), whose sum is σ = 2832555684. Its totient is φ = 518062080.

The previous prime is 1300240049. The next prime is 1300240103. The reversal of 1300240100 is 10420031.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 41267776 + 1258972324 = 6424^2 + 35482^2 .

It is not an unprimeable number, because it can be changed into a prime (1300240103) 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, 404 + ... + 50996.

Almost surely, 21300240100 is an apocalyptic number.

1300240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300240100 is an abundant number, since it is smaller than the sum of its proper divisors (1532315584).

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

1300240100 is a wasteful number, since it uses less digits than its factorization.

1300240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50864 (or 50857 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1300240100 is about 36058.8421888446. The cubic root of 1300240100 is about 1091.4600695484.

Adding to 1300240100 its reverse (10420031), we get a palindrome (1310660131).

The spelling of 1300240100 in words is "one billion, three hundred million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 514 1028 1285 2570 5140 6425 12850 25700 50593 101186 202372 252965 505930 1011860 1264825 2529650 5059300 13002401 26004802 52009604 65012005 130024010 260048020 325060025 650120050 1300240100