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1301130012 = 2237133732203
BaseRepresentation
bin100110110001101…
…1010101100011100
310100200022020211110
41031203122230130
510131042130022
6333035422020
744146264650
oct11543325434
93320266743
101301130012
116084aa266
123038b4910
13179742420
14c4b36a60
157936500c
hex4d8dab1c

1301130012 has 96 divisors (see below), whose sum is σ = 3837686272. Its totient is φ = 333870336.

The previous prime is 1301130007. The next prime is 1301130029. The reversal of 1301130012 is 2100311031.

1301130012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1301130012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24303 + ... + 56505.

Almost surely, 21301130012 is an apocalyptic number.

1301130012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918843136).

1301130012 is an abundant number, since it is smaller than the sum of its proper divisors (2536556260).

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

1301130012 is a wasteful number, since it uses less digits than its factorization.

1301130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32267 (or 32265 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1301130012 is about 36071.1797977277. The cubic root of 1301130012 is about 1091.7090189294.

Adding to 1301130012 its reverse (2100311031), we get a palindrome (3401441043).

The spelling of 1301130012 in words is "one billion, three hundred one million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 37 39 42 52 74 78 84 91 111 148 156 182 222 259 273 364 444 481 518 546 777 962 1036 1092 1443 1554 1924 2886 3108 3367 5772 6734 10101 13468 20202 32203 40404 64406 96609 128812 193218 225421 386436 418639 450842 676263 837278 901684 1191511 1255917 1352526 1674556 2383022 2511834 2705052 2930473 3574533 4766044 5023668 5860946 7149066 8340577 8791419 11721892 14298132 15489643 16681154 17582838 25021731 30979286 33362308 35165676 46468929 50043462 61958572 92937858 100086924 108427501 185875716 216855002 325282503 433710004 650565006 1301130012