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30013331200 = 28528356501
BaseRepresentation
bin11011111100111011…
…110001011100000000
32212110200101012100021
4123330323301130000
5442431403044300
621442105503224
72111521051216
oct337473613400
985420335307
1030013331200
1111801819a56
1259974a1b14
132aa4081c98
14164a118cb6
15ba9dadd1a
hex6fcef1700

30013331200 has 108 divisors (see below), whose sum is σ = 75184047288. Its totient is φ = 11860480000.

The previous prime is 30013331149. The next prime is 30013331237. The reversal of 30013331200 is 213331003.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 502950 + ... + 559450.

It is an arithmetic number, because the mean of its divisors is an integer number (696148586).

Almost surely, 230013331200 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 30013331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37592023644).

30013331200 is an abundant number, since it is smaller than the sum of its proper divisors (45170716088).

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

30013331200 is an equidigital number, since it uses as much as digits as its factorization.

30013331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56610 (or 56591 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 30013331200 its reverse (213331003), we get a palindrome (30226662203).

The spelling of 30013331200 in words is "thirty billion, thirteen million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 128 160 166 200 256 320 332 400 415 640 664 800 830 1280 1328 1600 1660 2075 2656 3200 3320 4150 5312 6400 6640 8300 10624 13280 16600 21248 26560 33200 53120 56501 66400 106240 113002 132800 226004 265600 282505 452008 531200 565010 904016 1130020 1412525 1808032 2260040 2825050 3616064 4520080 4689583 5650100 7232128 9040160 9379166 11300200 14464256 18080320 18758332 22600400 23447915 36160640 37516664 45200800 46895830 72321280 75033328 90401600 93791660 117239575 150066656 180803200 187583320 234479150 300133312 361606400 375166640 468958300 600266624 750333280 937916600 1200533248 1500666560 1875833200 3001333120 3751666400 6002666240 7503332800 15006665600 30013331200