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30002001330 = 23572941120157
BaseRepresentation
bin11011111100010000…
…100011010110110010
32212102220001120200110
4123330100203112302
5442421003020310
621441023002150
72111322542430
oct337420432662
985386046613
1030002001330
11117a6390724
125993739356
132aa1916012
141648809d50
15ba8dc1d20
hex6fc4235b2

30002001330 has 128 divisors (see below), whose sum is σ = 87205870080. Its totient is φ = 6459586560.

The previous prime is 30002001313. The next prime is 30002001347. The reversal of 30002001330 is 3310020003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30002001313) and next prime (30002001347).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189612 + ... + 309768.

It is an arithmetic number, because the mean of its divisors is an integer number (681295860).

Almost surely, 230002001330 is an apocalyptic number.

30002001330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30002001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43602935040).

30002001330 is an abundant number, since it is smaller than the sum of its proper divisors (57203868750).

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

30002001330 is a wasteful number, since it uses less digits than its factorization.

30002001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120244.

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 30002001330 its reverse (3310020003), we get a palindrome (33312021333).

The spelling of 30002001330 in words is "thirty billion, two million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 41 42 58 70 82 87 105 123 145 174 203 205 210 246 287 290 406 410 435 574 609 615 861 870 1015 1189 1218 1230 1435 1722 2030 2378 2870 3045 3567 4305 5945 6090 7134 8323 8610 11890 16646 17835 24969 35670 41615 49938 83230 120157 124845 240314 249690 360471 600785 720942 841099 1201570 1682198 1802355 2523297 3484553 3604710 4205495 4926437 5046594 6969106 8410990 9852874 10453659 12616485 14779311 17422765 20907318 24391871 24632185 25232970 29558622 34485059 34845530 48783742 49264370 52268295 68970118 73175613 73896555 103455177 104536590 121959355 142866673 146351226 147793110 172425295 206910354 243918710 285733346 344850590 365878065 428600019 517275885 714333365 731756130 857200038 1000066711 1034551770 1428666730 2000133422 2143000095 3000200133 4286000190 5000333555 6000400266 10000667110 15001000665 30002001330