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12303111100 = 22527210512389
BaseRepresentation
bin10110111010101001…
…01001001110111100
31011202102110210121111
423131110221032330
5200144044023400
65352454211404
7613611501400
oct133524511674
934672423544
1012303111100
115243870515
122474353b64
131210bb16c7
14849da1100
154c01963ba
hex2dd5293bc

12303111100 has 108 divisors (see below), whose sum is σ = 31099129320. Its totient is φ = 4212432000.

The previous prime is 12303111091. The next prime is 12303111101. The reversal of 12303111100 is 111130321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303111101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5148706 + ... + 5151094.

Almost surely, 212303111100 is an apocalyptic number.

12303111100 is a gapful number since it is divisible by the number (10) 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 12303111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549564660).

12303111100 is an abundant number, since it is smaller than the sum of its proper divisors (18796018220).

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

12303111100 is a wasteful number, since it uses less digits than its factorization.

12303111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 12303111100 its reverse (111130321), we get a palindrome (12414241421).

The spelling of 12303111100 in words is "twelve billion, three hundred three million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1051 1225 2102 2389 2450 4204 4778 4900 5255 7357 9556 10510 11945 14714 16723 21020 23890 26275 29428 33446 36785 47780 51499 52550 59725 66892 73570 83615 102998 105100 117061 119450 147140 167230 183925 205996 234122 238900 257495 334460 367850 418075 468244 514990 585305 735700 836150 1029980 1170610 1287475 1672300 2341220 2510839 2574950 2926525 5021678 5149900 5853050 10043356 11706100 12554195 17575873 25108390 35151746 50216780 62770975 70303492 87879365 123031111 125541950 175758730 246062222 251083900 351517460 439396825 492124444 615155555 878793650 1230311110 1757587300 2460622220 3075777775 6151555550 12303111100