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114145231300 = 22526134953617
BaseRepresentation
bin110101001001110010…
…1100000000111000100
3101220121222101112201021
41222103211200013010
53332232134400200
6124234304240524
711150424312622
oct1522345400704
9356558345637
10114145231300
1144455009801
121a157010144
13a9c123aaa9
14574b940512
152e80ea941a
hex1a939601c4

114145231300 has 72 divisors (see below), whose sum is σ = 252481800200. Its totient is φ = 44780083200.

The previous prime is 114145231279. The next prime is 114145231301. The reversal of 114145231300 is 3132541411.

It can be written as a sum of positive squares in 12 ways, for example, as 16606445956 + 97538785344 = 128866^2 + 312312^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (114145231301) 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, 2102092 + ... + 2155708.

Almost surely, 2114145231300 is an apocalyptic number.

114145231300 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 114145231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126240900100).

114145231300 is an abundant number, since it is smaller than the sum of its proper divisors (138336568900).

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

114145231300 is a wasteful number, since it uses less digits than its factorization.

114145231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54041 (or 54034 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 114145231300 its reverse (3132541411), we get a palindrome (117277772711).

The spelling of 114145231300 in words is "one hundred fourteen billion, one hundred forty-five million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 349 610 698 1220 1396 1525 1745 3050 3490 6100 6980 8725 17450 21289 34900 42578 53617 85156 106445 107234 212890 214468 268085 425780 532225 536170 1064450 1072340 1340425 2128900 2680850 3270637 5361700 6541274 13082548 16353185 18712333 32706370 37424666 65412740 74849332 81765925 93561665 163531850 187123330 327063700 374246660 467808325 935616650 1141452313 1871233300 2282904626 4565809252 5707261565 11414523130 22829046260 28536307825 57072615650 114145231300