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30311440200 = 23325216839689
BaseRepresentation
bin11100001110101100…
…111101111101001000
32220020110022201000100
4130032230331331020
5444034212041300
621531435205400
72122100663526
oct341654757510
986213281010
1030311440200
1111945021728
125a5b2a6860
132b20a6a142
141677959316
15bc6147700
hex70eb3df48

30311440200 has 72 divisors (see below), whose sum is σ = 101795926050. Its totient is φ = 8083050240.

The previous prime is 30311440199. The next prime is 30311440213. The reversal of 30311440200 is 204411303.

It can be written as a sum of positive squares in 3 ways, for example, as 19545717636 + 10765722564 = 139806^2 + 103758^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8418045 + ... + 8421644.

Almost surely, 230311440200 is an apocalyptic number.

30311440200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30311440200 is an abundant number, since it is smaller than the sum of its proper divisors (71484485850).

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

30311440200 is a wasteful number, since it uses less digits than its factorization.

30311440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16839711 (or 16839699 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30311440200 its reverse (204411303), we get a palindrome (30515851503).

The spelling of 30311440200 in words is "thirty billion, three hundred eleven million, four hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 16839689 33679378 50519067 67358756 84198445 101038134 134717512 151557201 168396890 202076268 252595335 303114402 336793780 404152536 420992225 505190670 606228804 673587560 757786005 841984450 1010381340 1212457608 1262976675 1515572010 1683968900 2020762680 2525953350 3031144020 3367937800 3788930025 5051906700 6062288040 7577860050 10103813400 15155720100 30311440200