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30210212032 = 26711131727739
BaseRepresentation
bin11100001000101010…
…110100000011000000
32212222101211210001221
4130020222310003000
5443332303241112
621513421404424
72116431364630
oct341052640300
985871753057
1030210212032
11118a2971490
125a31409714
132b05ab6610
1416683286c0
15bbc2ede07
hex708ab40c0

30210212032 has 224 divisors, whose sum is σ = 85227932160. Its totient is φ = 10225336320.

The previous prime is 30210212023. The next prime is 30210212143. The reversal of 30210212032 is 23021201203.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×302102120322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30210211997 and 30210212015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1075219 + ... + 1102957.

It is an arithmetic number, because the mean of its divisors is an integer number (380481840).

Almost surely, 230210212032 is an apocalyptic number.

30210212032 is a gapful number since it is divisible by the number (32) 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 30210212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42613966080).

30210212032 is an abundant number, since it is smaller than the sum of its proper divisors (55017720128).

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

30210212032 is a wasteful number, since it uses less digits than its factorization.

30210212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27799 (or 27789 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 30210212032 its reverse (23021201203), we get a palindrome (53231413235).

It can be divided in two parts, 30210 and 212032, that added together give a palindrome (242242).

The spelling of 30210212032 in words is "thirty billion, two hundred ten million, two hundred twelve thousand, thirty-two".