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30010413330 = 2345149248657
BaseRepresentation
bin11011111100110000…
…101001000100010010
32212110110212221210000
4123330300221010102
5442430131211310
621441523150430
72111454206262
oct337460510422
985413787700
1030010413330
1111800106797
125996515416
132aa359cb31
1416499997a2
15ba99d44c0
hex6fcc29112

30010413330 has 80 divisors (see below), whose sum is σ = 81236568600. Its totient is φ = 7949035008.

The previous prime is 30010413299. The next prime is 30010413347. The reversal of 30010413330 is 3331401003.

It can be written as a sum of positive squares in 4 ways, for example, as 7423028649 + 22587384681 = 86157^2 + 150291^2 .

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 39 ways as a sum of consecutive naturals, for example, 3639 + ... + 245018.

Almost surely, 230010413330 is an apocalyptic number.

30010413330 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 30010413330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40618284300).

30010413330 is an abundant number, since it is smaller than the sum of its proper divisors (51226155270).

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

30010413330 is a wasteful number, since it uses less digits than its factorization.

30010413330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248825 (or 248816 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30010413330 its reverse (3331401003), we get a palindrome (33341814333).

The spelling of 30010413330 in words is "thirty billion, ten million, four hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 149 162 270 298 405 447 745 810 894 1341 1490 2235 2682 4023 4470 6705 8046 12069 13410 20115 24138 40230 60345 120690 248657 497314 745971 1243285 1491942 2237913 2486570 3729855 4475826 6713739 7459710 11189565 13427478 20141217 22379130 33568695 37049893 40282434 67137390 74099786 100706085 111149679 185249465 201412170 222299358 333449037 370498930 555748395 666898074 1000347111 1111496790 1667245185 2000694222 3001041333 3334490370 5001735555 6002082666 10003471110 15005206665 30010413330