Search a number
-
+
1300023111212 = 2274710334927481
BaseRepresentation
bin10010111010101111011…
…010100110111000101100
311121021120211211121211222
4102322233122212320230
5132244421404024322
62433120011002512
7162631533056120
oct22725732467054
94537524747758
101300023111212
11461378177a71
1218bb53139438
139578cb29a07
1446cc8683580
1523c3ae8ce42
hex12eaf6a6e2c

1300023111212 has 96 divisors (see below), whose sum is σ = 2688926822400. Its totient is φ = 538437404160.

The previous prime is 1300023111199. The next prime is 1300023111217. The reversal of 1300023111212 is 2121113200031.

It is not an unprimeable number, because it can be changed into a prime (1300023111217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47292512 + ... + 47319992.

It is an arithmetic number, because the mean of its divisors is an integer number (28009654400).

Almost surely, 21300023111212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300023111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344463411200).

1300023111212 is an abundant number, since it is smaller than the sum of its proper divisors (1388903711188).

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

1300023111212 is a wasteful number, since it uses less digits than its factorization.

1300023111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27991 (or 27989 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1300023111212 its reverse (2121113200031), we get a palindrome (3421136311243).

The spelling of 1300023111212 in words is "one trillion, three hundred billion, twenty-three million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 47 94 103 188 206 329 349 412 658 698 721 1316 1396 1442 2443 2884 4841 4886 9682 9772 16403 19364 27481 32806 33887 35947 54962 65612 67774 71894 109924 114821 135548 143788 192367 229642 251629 384734 459284 503258 769468 1006516 1291607 1689509 2583214 2830543 3379018 5166428 5661086 6758036 9041249 9590869 11322172 11826563 18082498 19181738 19813801 23653126 36164996 38363476 39627602 47306252 67136083 79255204 133035521 134272166 266071042 268544332 450770843 532142084 901541686 931248647 987859507 1803083372 1862497294 1975719014 3155395901 3724994588 3951438028 6310791802 6915016549 12621583604 13830033098 27660066196 46429396829 92858793658 185717587316 325005777803 650011555606 1300023111212