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30311201400 = 23352167302507
BaseRepresentation
bin11100001110101100…
…000011101001111000
32220020102212120102220
4130032230003221320
5444034131421100
621531430124040
72122065650364
oct341654035170
986212776386
1030311201400
1111944979277
125a5b1b0620
132b209b553c
1416778d62a4
15bc60ebaa0
hex70eb03a78

30311201400 has 96 divisors (see below), whose sum is σ = 94527699840. Its totient is φ = 8034559360.

The previous prime is 30311201357. The next prime is 30311201407. The reversal of 30311201400 is 410211303.

It is a super-2 number, since 2×303112014002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30311201400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30311201407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51054 + ... + 251453.

It is an arithmetic number, because the mean of its divisors is an integer number (984663540).

Almost surely, 230311201400 is an apocalyptic number.

30311201400 is a gapful number since it is divisible by the number (30) 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 30311201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47263849920).

30311201400 is an abundant number, since it is smaller than the sum of its proper divisors (64216498440).

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

30311201400 is a wasteful number, since it uses less digits than its factorization.

30311201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302693 (or 302684 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30311201400 its reverse (410211303), we get a palindrome (30721412703).

The spelling of 30311201400 in words is "thirty billion, three hundred eleven million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1336 1670 2004 2505 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 25050 33400 50100 100200 302507 605014 907521 1210028 1512535 1815042 2420056 3025070 3630084 4537605 6050140 7260168 7562675 9075210 12100280 15125350 18150420 22688025 30250700 36300840 45376050 50518669 60501400 90752100 101037338 151556007 181504200 202074676 252593345 303112014 404149352 505186690 606224028 757780035 1010373380 1212448056 1262966725 1515560070 2020746760 2525933450 3031120140 3788900175 5051866900 6062240280 7577800350 10103733800 15155600700 30311201400