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1331211330 = 2325132111197
BaseRepresentation
bin100111101011000…
…1010110001000010
310102202220112122100
41033112022301002
510211242230310
6340032251230
744663052411
oct11726126102
93382815570
101331211330
11623485859
123119a0b16
13182a45417
14c8b27478
157bd07ec0
hex4f58ac42

1331211330 has 48 divisors (see below), whose sum is σ = 3464078904. Its totient is φ = 354689280.

The previous prime is 1331211317. The next prime is 1331211373. The reversal of 1331211330 is 331121331.

It is a happy number.

1331211330 is a `hidden beast` number, since 1 + 331 + 2 + 1 + 1 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1173131001 + 158080329 = 34251^2 + 12573^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113292 + ... + 124488.

Almost surely, 21331211330 is an apocalyptic number.

1331211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331211330 is an abundant number, since it is smaller than the sum of its proper divisors (2132867574).

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

1331211330 is a wasteful number, since it uses less digits than its factorization.

1331211330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12531 (or 12528 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1331211330 is about 36485.7688695195. The cubic root of 1331211330 is about 1100.0582145500.

Adding to 1331211330 its reverse (331121331), we get a palindrome (1662332661).

It can be divided in two parts, 13312 and 11330, that added together give a palindrome (24642).

The spelling of 1331211330 in words is "one billion, three hundred thirty-one million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1321 2642 3963 6605 7926 11197 11889 13210 19815 22394 23778 33591 39630 55985 59445 67182 100773 111970 118890 167955 201546 335910 503865 1007730 14791237 29582474 44373711 73956185 88747422 133121133 147912370 221868555 266242266 443737110 665605665 1331211330