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1300023312 = 24372552731
BaseRepresentation
bin100110101111100…
…1100100000010000
310100121020000201120
41031133030200100
510130301221222
6333000002240
744134005300
oct11537144020
93317200646
101300023312
11607913835
12303460380
13179445783
14c4929600
15791e715c
hex4d7cc810

1300023312 has 60 divisors (see below), whose sum is σ = 3906709776. Its totient is φ = 371434560.

The previous prime is 1300023293. The next prime is 1300023313. The reversal of 1300023312 is 2133200031.

It is a super-2 number, since 2×13000233122 = 3380121223486898688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1300023291 and 1300023300.

It is not an unprimeable number, because it can be changed into a prime (1300023313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274014 + ... + 278717.

Almost surely, 21300023312 is an apocalyptic number.

1300023312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1300023312 is an abundant number, since it is smaller than the sum of its proper divisors (2606686464).

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

1300023312 is a wasteful number, since it uses less digits than its factorization.

1300023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552756 (or 552743 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1300023312 is about 36055.8360324650. The cubic root of 1300023312 is about 1091.3994067531.

Adding to 1300023312 its reverse (2133200031), we get a palindrome (3433223343).

The spelling of 1300023312 in words is "one billion, three hundred million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 552731 1105462 1658193 2210924 3316386 3869117 4421848 6632772 7738234 8843696 11607351 13265544 15476468 23214702 26531088 27083819 30952936 46429404 54167638 61905872 81251457 92858808 108335276 162502914 185717616 216670552 325005828 433341104 650011656 1300023312