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1305403012212 = 2231373953120283
BaseRepresentation
bin10010111111110000000…
…101010011010001110100
311121210110210001220121120
4102333300011103101310
5132341431132342322
62435405512543540
7163212050344515
oct22776005232164
94553423056546
101305403012212
11463688a72242
12190bb49b1bb0
13961395b06a0
1447278d96a0c
1523e53437a5c
hex12ff0153474

1305403012212 has 96 divisors (see below), whose sum is σ = 3328695151488. Its totient is φ = 395741251584.

The previous prime is 1305403012183. The next prime is 1305403012213. The reversal of 1305403012212 is 2122103045031.

It is a super-2 number, since 2×13054030122122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305403012213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10792623 + ... + 10912905.

It is an arithmetic number, because the mean of its divisors is an integer number (34673907828).

Almost surely, 21305403012212 is an apocalyptic number.

1305403012212 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 1305403012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664347575744).

1305403012212 is an abundant number, since it is smaller than the sum of its proper divisors (2023292139276).

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

1305403012212 is a wasteful number, since it uses less digits than its factorization.

1305403012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121329 (or 121327 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1305403012212 its reverse (2122103045031), we get a palindrome (3427506057243).

The spelling of 1305403012212 in words is "one trillion, three hundred five billion, four hundred three million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 219 292 438 876 949 953 1898 1906 2847 2859 3796 3812 5694 5718 11388 11436 12389 24778 37167 49556 69569 74334 120283 139138 148668 208707 240566 278276 360849 417414 481132 721698 834828 904397 1443396 1563679 1808794 2713191 3127358 3617588 4691037 5426382 6254716 8780659 9382074 10852764 17561318 18764148 26341977 35122636 52683954 105367908 114148567 114629699 228297134 229259398 342445701 343889097 456594268 458518796 684891402 687778194 1369782804 1375556388 1490186087 2980372174 4470558261 5960744348 8367968027 8941116522 16735936054 17882233044 25103904081 33471872108 50207808162 100415616324 108783584351 217567168702 326350753053 435134337404 652701506106 1305403012212