Search a number
-
+
30221200110 = 2356157728621
BaseRepresentation
bin11100001001010100…
…101110101011101110
32220000011112000212210
4130021110232223232
5443343111400420
621514453111250
72116623651063
oct341124565356
986004460783
1030221200110
11118a9096a42
125a35028526
132b08162b3a
141669988c6a
15bbd26e9e0
hex70952eaee

30221200110 has 64 divisors (see below), whose sum is σ = 73850255424. Its totient is φ = 7912857600.

The previous prime is 30221200109. The next prime is 30221200133. The reversal of 30221200110 is 1100212203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041600 + ... + 1070220.

It is an arithmetic number, because the mean of its divisors is an integer number (1153910241).

Almost surely, 230221200110 is an apocalyptic number.

30221200110 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 30221200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36925127712).

30221200110 is an abundant number, since it is smaller than the sum of its proper divisors (43629055314).

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

30221200110 is a wasteful number, since it uses less digits than its factorization.

30221200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29269.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 30221200110 its reverse (1100212203), we get a palindrome (31321412313).

The spelling of 30221200110 in words is "thirty billion, two hundred twenty-one million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 577 610 915 1154 1731 1830 2885 3462 5770 8655 17310 28621 35197 57242 70394 85863 105591 143105 171726 175985 211182 286210 351970 429315 527955 858630 1055910 1745881 3491762 5237643 8729405 10475286 16514317 17458810 26188215 33028634 49542951 52376430 82571585 99085902 165143170 247714755 495429510 1007373337 2014746674 3022120011 5036866685 6044240022 10073733370 15110600055 30221200110