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1301112144 = 243229311569
BaseRepresentation
bin100110110001101…
…0110010101010000
310100200021100022200
41031203112111100
510131041042034
6333035203200
744146161603
oct11543262520
93320240280
101301112144
116084978a2
123038a6500
13179737257
14c4b3033a
157935ea99
hex4d8d6550

1301112144 has 60 divisors (see below), whose sum is σ = 3766881300. Its totient is φ = 418747392.

The previous prime is 1301112121. The next prime is 1301112161. The reversal of 1301112144 is 4412111031.

It can be written as a sum of positive squares in 2 ways, for example, as 650250000 + 650862144 = 25500^2 + 25512^2 .

It is a super-2 number, since 2×13011121442 = 3385785622528553472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151609 + ... + 159960.

It is an arithmetic number, because the mean of its divisors is an integer number (62781355).

Almost surely, 21301112144 is an apocalyptic number.

It is an amenable number.

1301112144 is an abundant number, since it is smaller than the sum of its proper divisors (2465769156).

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

1301112144 is a wasteful number, since it uses less digits than its factorization.

1301112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311612 (or 311603 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1301112144 is about 36070.9321199217. The cubic root of 1301112144 is about 1091.7040215435.

Adding to 1301112144 its reverse (4412111031), we get a palindrome (5713223175).

The spelling of 1301112144 in words is "one billion, three hundred one million, one hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 311569 623138 934707 1246276 1869414 2492552 2804121 3738828 4985104 5608242 7477656 9035501 11216484 14955312 18071002 22432968 27106503 36142004 44865936 54213006 72284008 81319509 108426012 144568016 162639018 216852024 325278036 433704048 650556072 1301112144