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100141233300 = 223252449247813
BaseRepresentation
bin101110101000011100…
…0011111010010010100
3100120111000101201220200
41131100320133102110
53120042123431200
6114000530100500
710143410303253
oct1352070372224
9316430351820
10100141233300
113951912a839
12174a911a730
13959bb5c244
144bbdb0679a
152911836800
hex1750e1f494

100141233300 has 108 divisors (see below), whose sum is σ = 314587482300. Its totient is φ = 26644746240.

The previous prime is 100141233287. The next prime is 100141233331. The reversal of 100141233300 is 3332141001.

It can be written as a sum of positive squares in 6 ways, for example, as 14201965584 + 85939267716 = 119172^2 + 293154^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280194 + ... + 528006.

Almost surely, 2100141233300 is an apocalyptic number.

100141233300 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 100141233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157293741150).

100141233300 is an abundant number, since it is smaller than the sum of its proper divisors (214446249000).

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

100141233300 is a wasteful number, since it uses less digits than its factorization.

100141233300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248282 (or 248272 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100141233300 its reverse (3332141001), we get a palindrome (103473374301).

The spelling of 100141233300 in words is "one hundred billion, one hundred forty-one million, two hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 449 450 898 900 1347 1796 2245 2694 4041 4490 5388 6735 8082 8980 11225 13470 16164 20205 22450 26940 33675 40410 44900 67350 80820 101025 134700 202050 247813 404100 495626 743439 991252 1239065 1486878 2230317 2478130 2973756 3717195 4460634 4956260 6195325 7434390 8921268 11151585 12390650 14868780 18585975 22303170 24781300 37171950 44606340 55757925 74343900 111268037 111515850 222536074 223031700 333804111 445072148 556340185 667608222 1001412333 1112680370 1335216444 1669020555 2002824666 2225360740 2781700925 3338041110 4005649332 5007061665 5563401850 6676082220 8345102775 10014123330 11126803700 16690205550 20028246660 25035308325 33380411100 50070616650 100141233300