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1300118300052 = 22311132851265747
BaseRepresentation
bin10010111010110101000…
…101101110010110010100
311121021211110221201101120
4102322311011232112110
5132300120241100202
62433133251123540
7162634100132445
oct22726505562624
94537743851346
101300118300052
11461416982830
1218bb7aba35b0
13957a6777680
1446cd71812cc
1523c444e20bc
hex12eb516e594

1300118300052 has 96 divisors (see below), whose sum is σ = 3565224144384. Its totient is φ = 363540528000.

The previous prime is 1300118299979. The next prime is 1300118300059. The reversal of 1300118300052 is 2500038110031.

It is a junction number, because it is equal to n+sod(n) for n = 1300118299995 and 1300118300031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300118300059) 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, 4759443 + ... + 5025189.

It is an arithmetic number, because the mean of its divisors is an integer number (37137751504).

Almost surely, 21300118300052 is an apocalyptic number.

1300118300052 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 1300118300052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782612072192).

1300118300052 is an abundant number, since it is smaller than the sum of its proper divisors (2265105844332).

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

1300118300052 is a wasteful number, since it uses less digits than its factorization.

1300118300052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268629 (or 268627 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 1300118300052 in words is "one trillion, three hundred billion, one hundred eighteen million, three hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 2851 5702 8553 11404 17106 31361 34212 37063 62722 74126 94083 111189 125444 148252 188166 222378 265747 376332 407693 444756 531494 797241 815386 1062988 1223079 1594482 1630772 2446158 2923217 3188964 3454711 4892316 5846434 6909422 8769651 10364133 11692868 13818844 17539302 20728266 35078604 38001821 41456532 76003642 114005463 152007284 228010926 456021852 757644697 1515289394 2272934091 3030578788 4545868182 8334091667 9091736364 9849381061 16668183334 19698762122 25002275001 29548143183 33336366668 39397524244 50004550002 59096286366 100009100004 108343191671 118192572732 216686383342 325029575013 433372766684 650059150026 1300118300052