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1330456100 = 225213304561
BaseRepresentation
bin100111101001101…
…0010011000100100
310102201111011122212
41033103102120210
510211044043400
6340004142552
744653455521
oct11723223044
93381434585
101330456100
1162300a3a6
12311697a58
1318283c73c
14c89ac148
157bc09335
hex4f4d2624

1330456100 has 18 divisors (see below), whose sum is σ = 2887089954. Its totient is φ = 532182400.

The previous prime is 1330456097. The next prime is 1330456103. The reversal of 1330456100 is 16540331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1330456097) and next prime (1330456103).

It can be written as a sum of positive squares in 3 ways, for example, as 1999396 + 1328456704 = 1414^2 + 36448^2 .

It is a super-2 number, since 2×13304561002 = 3540226868054420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1330456103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6652181 + ... + 6652380.

Almost surely, 21330456100 is an apocalyptic number.

1330456100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330456100 is an abundant number, since it is smaller than the sum of its proper divisors (1556633854).

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

1330456100 is a wasteful number, since it uses less digits than its factorization.

1330456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13304575 (or 13304568 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1330456100 is about 36475.4177494926. The cubic root of 1330456100 is about 1099.8501448751.

Adding to 1330456100 its reverse (16540331), we get a palindrome (1346996431).

The spelling of 1330456100 in words is "one billion, three hundred thirty million, four hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13304561 26609122 53218244 66522805 133045610 266091220 332614025 665228050 1330456100