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30220122112 = 21172720297
BaseRepresentation
bin11100001001010000…
…100111100000000000
32220000002111021010221
4130021100213200000
5443342322401422
621514414032424
72116611541165
oct341120474000
986002437127
1030220122112
11118a8520034
125a347a8714
132b07b7627b
14166978806c
15bbd10a3c7
hex709427800

30220122112 has 48 divisors (see below), whose sum is σ = 60511585680. Its totient is φ = 15088533504.

The previous prime is 30220122077. The next prime is 30220122113. The reversal of 30220122112 is 21122102203.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30220122113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1478748 + ... + 1499044.

It is an arithmetic number, because the mean of its divisors is an integer number (1260658035).

Almost surely, 230220122112 is an apocalyptic number.

30220122112 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 30220122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30255792840).

30220122112 is an abundant number, since it is smaller than the sum of its proper divisors (30291463568).

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

30220122112 is an equidigital number, since it uses as much as digits as its factorization.

30220122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21046 (or 21026 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 30220122112 its reverse (21122102203), we get a palindrome (51342224315).

The spelling of 30220122112 in words is "thirty billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 727 1024 1454 2048 2908 5816 11632 20297 23264 40594 46528 81188 93056 162376 186112 324752 372224 649504 744448 1299008 1488896 2598016 5196032 10392064 14755919 20784128 29511838 41568256 59023676 118047352 236094704 472189408 944378816 1888757632 3777515264 7555030528 15110061056 30220122112