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114310234300 = 225267711032333
BaseRepresentation
bin110101001110101101…
…0111100000010111100
3101221001110212120021111
41222131122330002330
53333101404444200
6124302521011404
711154466650133
oct1523532740274
9357043776244
10114310234300
114452a168a19
121a1a2323b64
13aa194907c2
14576581291a
152e906ee0ba
hex1a9d6bc0bc

114310234300 has 144 divisors (see below), whose sum is σ = 257890493952. Its totient is φ = 43957267200.

The previous prime is 114310234279. The next prime is 114310234373. The reversal of 114310234300 is 3432013411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48995934 + ... + 48998266.

It is an arithmetic number, because the mean of its divisors is an integer number (1790906208).

Almost surely, 2114310234300 is an apocalyptic number.

114310234300 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 114310234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128945246976).

114310234300 is an abundant number, since it is smaller than the sum of its proper divisors (143580259652).

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

114310234300 is a wasteful number, since it uses less digits than its factorization.

114310234300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 114310234300 its reverse (3432013411), we get a palindrome (117742247711).

The spelling of 114310234300 in words is "one hundred fourteen billion, three hundred ten million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 71 100 103 134 142 206 268 284 335 355 412 515 670 710 1030 1340 1420 1675 1775 2060 2333 2575 3350 3550 4666 4757 5150 6700 6901 7100 7313 9332 9514 10300 11665 13802 14626 19028 23330 23785 27604 29252 34505 36565 46660 47570 58325 69010 73130 95140 116650 118925 138020 146260 156311 165643 172525 182825 233300 237850 240299 312622 331286 345050 365650 475700 480598 489971 625244 662572 690100 731300 781555 828215 961196 979942 1201495 1563110 1656430 1959884 2402990 2449855 3126220 3312860 3907775 4141075 4805980 4899710 6007475 7815550 8282150 9799420 11098081 12014950 12249275 15631100 16100033 16564300 17061229 22196162 24029900 24498550 32200066 34122458 44392324 48997100 55490405 64400132 68244916 80500165 85306145 110980810 161000330 170612290 221961620 277452025 322000660 341224580 402500825 426530725 554904050 805001650 853061450 1109808100 1143102343 1610003300 1706122900 2286204686 4572409372 5715511715 11431023430 22862046860 28577558575 57155117150 114310234300