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30300410311300 = 22521098113427687
BaseRepresentation
bin1101110001110110111010…
…01100010111001010000100
310222021200122200200202112001
412320323131030113022010
512432420220014430200
6144235452154435044
76245063262040453
oct670733514271204
9128250580622461
1030300410311300
1197223717662a8
12349450a132a84
1313ba41627c8bc
1476a794bb8b9a
153782b34d676a
hex1b8edd317284

30300410311300 has 72 divisors (see below), whose sum is σ = 66436956998720. Its totient is φ = 11994158851200.

The previous prime is 30300410311291. The next prime is 30300410311319. The reversal of 30300410311300 is 311301400303.

It is a super-2 number, since 2×303004103113002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7126057 + ... + 10553743.

Almost surely, 230300410311300 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 30300410311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33218478499360).

30300410311300 is an abundant number, since it is smaller than the sum of its proper divisors (36136546687420).

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

30300410311300 is a wasteful number, since it uses less digits than its factorization.

30300410311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428621 (or 3428614 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 30300410311300 its reverse (311301400303), we get a palindrome (30611711711603).

The spelling of 30300410311300 in words is "thirty trillion, three hundred billion, four hundred ten million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 811 1090 1622 2180 2725 3244 4055 5450 8110 10900 16220 20275 40550 81100 88399 176798 353596 441995 883990 1767980 2209975 3427687 4419950 6855374 8839900 13710748 17138435 34276870 68553740 85692175 171384350 342768700 373617883 747235766 1494471532 1868089415 2779854157 3736178830 5559708314 7472357660 9340447075 11119416628 13899270785 18680894150 27798541570 37361788300 55597083140 69496353925 138992707850 277985415700 303004103113 606008206226 1212016412452 1515020515565 3030041031130 6060082062260 7575102577825 15150205155650 30300410311300