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30201312300 = 22352434395333
BaseRepresentation
bin11100001000001000…
…110111010000101100
32212221210002121221020
4130020020313100230
5443323013443200
621512502534140
72116262630115
oct341010672054
985853077836
1030201312300
1111898942a35
125a2a437350
132b03cbb7c3
14166708d20c
15bbb641ea0
hex70823742c

30201312300 has 144 divisors (see below), whose sum is σ = 89635096320. Its totient is φ = 7846997760.

The previous prime is 30201312241. The next prime is 30201312301. The reversal of 30201312300 is 321310203.

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 30201312300.

It is not an unprimeable number, because it can be changed into a prime (30201312301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660434 + ... + 5665766.

Almost surely, 230201312300 is an apocalyptic number.

30201312300 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 30201312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44817548160).

30201312300 is an abundant number, since it is smaller than the sum of its proper divisors (59433784020).

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

30201312300 is a wasteful number, since it uses less digits than its factorization.

30201312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30201312300 its reverse (321310203), we get a palindrome (30522622503).

The spelling of 30201312300 in words is "thirty billion, two hundred one million, three hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 439 516 645 860 878 1075 1290 1317 1756 2150 2195 2580 2634 3225 4300 4390 5268 5333 6450 6585 8780 10666 10975 12900 13170 15999 18877 21332 21950 26340 26665 31998 32925 37754 43900 53330 56631 63996 65850 75508 79995 94385 106660 113262 131700 133325 159990 188770 226524 229319 266650 283155 319980 377540 399975 458638 471925 533300 566310 687957 799950 917276 943850 1132620 1146595 1375914 1415775 1599900 1887700 2293190 2341187 2751828 2831550 3439785 4586380 4682374 5663100 5732975 6879570 7023561 9364748 11465950 11705935 13759140 14047122 17198925 22931900 23411870 28094244 34397850 35117805 46823740 58529675 68795700 70235610 100671041 117059350 140471220 175589025 201342082 234118700 302013123 351178050 402684164 503355205 604026246 702356100 1006710410 1208052492 1510065615 2013420820 2516776025 3020131230 5033552050 6040262460 7550328075 10067104100 15100656150 30201312300