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30113312220 = 22335229243517
BaseRepresentation
bin11100000010111001…
…001010110111011100
32212201122111202112000
4130002321022313130
5443133001442340
621500040442300
72114143634115
oct340271126734
985648452460
1030113312220
11118531a81a2
125a04a79390
132abb9b9c54
14165950320c
15bb3a5cd30
hex702e4addc

30113312220 has 96 divisors (see below), whose sum is σ = 94095355200. Its totient is φ = 7995117312.

The previous prime is 30113312213. The next prime is 30113312221. The reversal of 30113312220 is 2221331103.

30113312220 is a `hidden beast` number, since 301 + 133 + 12 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30113312193 and 30113312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30113312221) 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, 1902 + ... + 245418.

It is an arithmetic number, because the mean of its divisors is an integer number (980159950).

Almost surely, 230113312220 is an apocalyptic number.

30113312220 is a gapful number since it is divisible by the number (30) 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 30113312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47047677600).

30113312220 is an abundant number, since it is smaller than the sum of its proper divisors (63982042980).

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

30113312220 is a wasteful number, since it uses less digits than its factorization.

30113312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243764 (or 243756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30113312220 its reverse (2221331103), we get a palindrome (32334643323).

The spelling of 30113312220 in words is "thirty billion, one hundred thirteen million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 229 270 458 540 687 916 1145 1374 2061 2290 2748 3435 4122 4580 6183 6870 8244 10305 12366 13740 20610 24732 30915 41220 61830 123660 243517 487034 730551 974068 1217585 1461102 2191653 2435170 2922204 3652755 4383306 4870340 6574959 7305510 8766612 10958265 13149918 14611020 21916530 26299836 32874795 43833060 55765393 65749590 111530786 131499180 167296179 223061572 278826965 334592358 501888537 557653930 669184716 836480895 1003777074 1115307860 1505665611 1672961790 2007554148 2509442685 3011331222 3345923580 5018885370 6022662444 7528328055 10037770740 15056656110 30113312220