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30010000332 = 223131312835189
BaseRepresentation
bin11011111100101111…
…000100001111001100
32212110110002222020210
4123330233010033030
5442430030002312
621441510242420
72111450536224
oct337457041714
985413088223
1030010000332
11117aa954474
125996356410
132aa3486b60
1416498cd084
15ba9951e3c
hex6fcbc43cc

30010000332 has 96 divisors (see below), whose sum is σ = 76268586240. Its totient is φ = 9129219840.

The previous prime is 30010000303. The next prime is 30010000333. The reversal of 30010000332 is 23300001003.

It is a happy number.

It is a super-2 number, since 2×300100003322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (30010000333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5780794 + ... + 5785982.

It is an arithmetic number, because the mean of its divisors is an integer number (794464440).

Almost surely, 230010000332 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 30010000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38134293120).

30010000332 is an abundant number, since it is smaller than the sum of its proper divisors (46258585908).

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

30010000332 is a wasteful number, since it uses less digits than its factorization.

30010000332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5621 counting only the distinct ones).

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

Adding to 30010000332 its reverse (23300001003), we get a palindrome (53310001335).

The spelling of 30010000332 in words is "thirty billion, ten million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 283 393 524 566 786 849 1132 1572 1698 1703 3396 3406 3679 5109 5189 6812 7358 10218 10378 11037 14716 15567 20436 20756 22074 31134 37073 44148 62268 67457 74146 111219 134914 148292 202371 222438 269828 404742 444876 481949 679759 809484 963898 1359518 1445847 1468487 1927796 2039277 2719036 2891694 2936974 4078554 4405461 5783388 5873948 8157108 8810922 8836867 17621844 17673734 19090331 26510601 35347468 38180662 53021202 57270993 76361324 106042404 114541986 192371797 229083972 384743594 577115391 769487188 1154230782 2308461564 2500833361 5001666722 7502500083 10003333444 15005000166 30010000332