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3111234100000 = 2555132393257
BaseRepresentation
bin101101010001100100000…
…000001101101100100000
3102000102122020212000202121
4231101210000031230200
5401433301412200000
610341140424154024
7440531165335525
oct55214400155440
912012566760677
103111234100000
11a9a5155a3444
12422b8a008914
131975079004a0
14aa827d6514c
1555de4d60b1a
hex2d46400db20

3111234100000 has 144 divisors (see below), whose sum is σ = 8244993989736. Its totient is φ = 1148762880000.

The previous prime is 3111234099997. The next prime is 3111234100003. The reversal of 3111234100000 is 14321113.

It is an interprime number because it is at equal distance from previous prime (3111234099997) and next prime (3111234100003).

It can be written as a sum of positive squares in 12 ways, for example, as 2836570060944 + 274664039056 = 1684212^2 + 524084^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3111234100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103372 + ... + 2496628.

Almost surely, 23111234100000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3111234100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122496994868).

3111234100000 is an abundant number, since it is smaller than the sum of its proper divisors (5133759889736).

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

3111234100000 is an equidigital number, since it uses as much as digits as its factorization.

3111234100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393305 (or 2393277 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3111234100000 its reverse (14321113), we get a palindrome (3111248421113).

The spelling of 3111234100000 in words is "three trillion, one hundred eleven billion, two hundred thirty-four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3125 3250 4000 5000 5200 6250 6500 8125 10000 10400 12500 13000 16250 20000 25000 26000 32500 40625 50000 52000 65000 81250 100000 130000 162500 260000 325000 650000 1300000 2393257 4786514 9573028 11966285 19146056 23932570 31112341 38292112 47865140 59831425 62224682 76584224 95730280 119662850 124449364 155561705 191460560 239325700 248898728 299157125 311123410 382921120 478651400 497797456 598314250 622246820 777808525 957302800 995594912 1196628500 1244493640 1495785625 1555617050 1914605600 2393257000 2488987280 2991571250 3111234100 3889042625 4786514000 4977974560 5983142500 6222468200 7478928125 7778085250 9573028000 11966285000 12444936400 14957856250 15556170500 19445213125 23932570000 24889872800 29915712500 31112341000 38890426250 47865140000 59831425000 62224682000 77780852500 97226065625 119662850000 124449364000 155561705000 194452131250 239325700000 311123410000 388904262500 622246820000 777808525000 1555617050000 3111234100000