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30113221200 = 2435289281959
BaseRepresentation
bin11100000010111000…
…110100101001010000
32212201122100010122220
4130002320310221100
5443132441034300
621500034501040
72114143104546
oct340270645120
985648303586
1030113221200
1111853145877
125a04a34780
132abb9876aa
1416594bbd96
15bb3a40da0
hex702e34a50

30113221200 has 120 divisors (see below), whose sum is σ = 97546881600. Its totient is φ = 7939937280.

The previous prime is 30113221199. The next prime is 30113221211. The reversal of 30113221200 is 212231103.

It is a tau number, because it is divible by the number of its divisors (120).

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 30113221200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34180 + ... + 247779.

It is an arithmetic number, because the mean of its divisors is an integer number (812890680).

Almost surely, 230113221200 is an apocalyptic number.

30113221200 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 30113221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48773440800).

30113221200 is an abundant number, since it is smaller than the sum of its proper divisors (67433660400).

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

30113221200 is a wasteful number, since it uses less digits than its factorization.

30113221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282069 (or 282058 counting only the distinct ones).

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

Adding to 30113221200 its reverse (212231103), we get a palindrome (30325452303).

The spelling of 30113221200 in words is "thirty billion, one hundred thirteen million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 89 100 120 150 178 200 240 267 300 356 400 445 534 600 712 890 1068 1200 1335 1424 1780 2136 2225 2670 3560 4272 4450 5340 6675 7120 8900 10680 13350 17800 21360 26700 35600 53400 106800 281959 563918 845877 1127836 1409795 1691754 2255672 2819590 3383508 4229385 4511344 5639180 6767016 7048975 8458770 11278360 13534032 14097950 16917540 21146925 22556720 25094351 28195900 33835080 42293850 50188702 56391800 67670160 75283053 84587700 100377404 112783600 125471755 150566106 169175400 200754808 250943510 301132212 338350800 376415265 401509616 501887020 602264424 627358775 752830530 1003774040 1204528848 1254717550 1505661060 1882076325 2007548080 2509435100 3011322120 3764152650 5018870200 6022644240 7528305300 10037740400 15056610600 30113221200