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2011313030300 = 2252722711514657
BaseRepresentation
bin11101010001001011100…
…110010100010010011100
321010021112212022100001022
4131101023212110102130
5230423132113432200
64135552350303312
7265212132450500
oct35211346242234
97107485270038
102011313030300
11705aa1852a02
122859807b7b38
1311788729c742
146d4c3166300
15374bb2a1885
hex1d44b99449c

2011313030300 has 108 divisors (see below), whose sum is σ = 5095866906144. Its totient is φ = 687047961600.

The previous prime is 2011313030291. The next prime is 2011313030333. The reversal of 2011313030300 is 30303131102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 570572 + ... + 2085228.

Almost surely, 22011313030300 is an apocalyptic number.

2011313030300 is a gapful number since it is divisible by the number (20) 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 2011313030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547933453072).

2011313030300 is an abundant number, since it is smaller than the sum of its proper divisors (3084553875844).

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

2011313030300 is a wasteful number, since it uses less digits than its factorization.

2011313030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514956 (or 1514942 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 2011313030300 its reverse (30303131102), we get a palindrome (2041616161402).

The spelling of 2011313030300 in words is "two trillion, eleven billion, three hundred thirteen million, thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 271 350 490 542 700 980 1084 1225 1355 1897 2450 2710 3794 4900 5420 6775 7588 9485 13279 13550 18970 26558 27100 37940 47425 53116 66395 94850 132790 189700 265580 331975 663950 1327900 1514657 3029314 6058628 7573285 10602599 15146570 21205198 30293140 37866425 42410396 53012995 74218193 75732850 106025990 148436386 151465700 212051980 265064975 296872772 371090965 410472047 530129950 742181930 820944094 1060259900 1484363860 1641888188 1855454825 2052360235 2873304329 3710909650 4104720470 5746608658 7421819300 8209440940 10261801175 11493217316 14366521645 20113130303 20523602350 28733043290 40226260606 41047204700 57466086580 71832608225 80452521212 100565651515 143665216450 201131303030 287330432900 402262606060 502828257575 1005656515150 2011313030300