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1330342100 = 225244929629
BaseRepresentation
bin100111101001011…
…0110100011010100
310102201021101021122
41033102312203110
510211031421400
6340001503112
744652502253
oct11722664324
93381241248
101330342100
11622a4178a
12311641a98
131827cc899
14c897c79a
157bbd5685
hex4f4b68d4

1330342100 has 36 divisors (see below), whose sum is σ = 2893369500. Its totient is φ = 530933760.

The previous prime is 1330342093. The next prime is 1330342109. The reversal of 1330342100 is 12430331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29441476 + 1300900624 = 5426^2 + 36068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330342109) 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, 30086 + ... + 59714.

It is an arithmetic number, because the mean of its divisors is an integer number (80371375).

Almost surely, 21330342100 is an apocalyptic number.

1330342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330342100 is an abundant number, since it is smaller than the sum of its proper divisors (1563027400).

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

1330342100 is a wasteful number, since it uses less digits than its factorization.

1330342100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30092 (or 30085 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1330342100 is about 36473.8550197261. The cubic root of 1330342100 is about 1099.8187304607.

Adding to 1330342100 its reverse (12430331), we get a palindrome (1342772431).

The spelling of 1330342100 in words is "one billion, three hundred thirty million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 449 898 1796 2245 4490 8980 11225 22450 29629 44900 59258 118516 148145 296290 592580 740725 1481450 2962900 13303421 26606842 53213684 66517105 133034210 266068420 332585525 665171050 1330342100