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114421332300 = 2235211263131837
BaseRepresentation
bin110101010010000001…
…0101111100101001100
3101221100012220221002020
41222210002233211030
53333313330113200
6124321530130140
711160316164042
oct1524402574514
9357305827066
10114421332300
114458694a550
121a213580950
13aa364bb872
145776492392
152e9a346ea0
hex1aa40af94c

114421332300 has 144 divisors (see below), whose sum is σ = 362531296512. Its totient is φ = 27632825600.

The previous prime is 114421332247. The next prime is 114421332313. The reversal of 114421332300 is 3233124411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801982 + ... + 933818.

It is an arithmetic number, because the mean of its divisors is an integer number (2517578448).

Almost surely, 2114421332300 is an apocalyptic number.

114421332300 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 114421332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181265648256).

114421332300 is an abundant number, since it is smaller than the sum of its proper divisors (248109964212).

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

114421332300 is a wasteful number, since it uses less digits than its factorization.

114421332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132128 (or 132121 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 114421332300 its reverse (3233124411), we get a palindrome (117654456711).

The spelling of 114421332300 in words is "one hundred fourteen billion, four hundred twenty-one million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 263 275 300 330 526 550 660 789 825 1052 1100 1315 1578 1650 2630 2893 3156 3300 3945 5260 5786 6575 7890 8679 11572 13150 14465 15780 17358 19725 26300 28930 34716 39450 43395 57860 72325 78900 86790 131837 144650 173580 216975 263674 289300 395511 433950 527348 659185 791022 867900 1318370 1450207 1582044 1977555 2636740 2900414 3295925 3955110 4350621 5800828 6591850 7251035 7910220 8701242 9887775 13183700 14502070 17402484 19775550 21753105 29004140 34673131 36255175 39551100 43506210 69346262 72510350 87012420 104019393 108765525 138692524 145020700 173365655 208038786 217531050 346731310 381404441 416077572 435062100 520096965 693462620 762808882 866828275 1040193930 1144213323 1525617764 1733656550 1907022205 2080387860 2288426646 2600484825 3467313100 3814044410 4576853292 5200969650 5721066615 7628088820 9535111025 10401939300 11442133230 19070222050 22884266460 28605333075 38140444100 57210666150 114421332300