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115321007100 = 2235213178716547
BaseRepresentation
bin110101101100110101…
…0101110101111111100
3102000122220211010220010
41223121222232233330
53342134134211400
6124551105223220
711221522246455
oct1533152565774
9360586733803
10115321007100
11449a877a542
121a424931b10
13ab4aa00210
14581db6612c
152eee30c450
hex1ad9aaebfc

115321007100 has 144 divisors (see below), whose sum is σ = 359551237248. Its totient is φ = 28369109760.

The previous prime is 115321007089. The next prime is 115321007143. The reversal of 115321007100 is 1700123511.

It is a happy number.

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, 6961027 + ... + 6977573.

It is an arithmetic number, because the mean of its divisors is an integer number (2496883592).

Almost surely, 2115321007100 is an apocalyptic number.

115321007100 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 115321007100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179775618624).

115321007100 is an abundant number, since it is smaller than the sum of its proper divisors (244230230148).

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

115321007100 is a wasteful number, since it uses less digits than its factorization.

115321007100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18364 (or 18357 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The spelling of 115321007100 in words is "one hundred fifteen billion, three hundred twenty-one million, seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1787 1950 3574 3900 5361 7148 8935 10722 16547 17870 21444 23231 26805 33094 35740 44675 46462 49641 53610 66188 69693 82735 89350 92924 99282 107220 116155 134025 139386 165470 178700 198564 215111 232310 248205 268050 278772 330940 348465 413675 430222 464620 496410 536100 580775 645333 696930 827350 860444 992820 1075555 1161550 1241025 1290666 1393860 1654700 1742325 2151110 2323100 2482050 2581332 3226665 3484650 4302220 4964100 5377775 6453330 6969300 10755550 12906660 16133325 21511100 29569489 32266650 59138978 64533300 88708467 118277956 147847445 177416934 295694890 354833868 384403357 443542335 591389780 739237225 768806714 887084670 1153210071 1478474450 1537613428 1774169340 1922016785 2217711675 2306420142 2956948900 3844033570 4435423350 4612840284 5766050355 7688067140 8870846700 9610083925 11532100710 19220167850 23064201420 28830251775 38440335700 57660503550 115321007100