Search a number
-
+
100112341000 = 2353722043109
BaseRepresentation
bin101110100111100101…
…0010001100000001000
3100120102000000212010111
41131033022101200020
53120012224403000
6113554014524104
710142606600200
oct1351712214010
9316360025114
10100112341000
1139503896601
121749b506634
139595b844c9
144bb9d45400
15290e02acba
hex174f291808

100112341000 has 96 divisors (see below), whose sum is σ = 272510011800. Its totient is φ = 34324214400.

The previous prime is 100112340947. The next prime is 100112341013. The reversal of 100112341000 is 143211001.

It can be written as a sum of positive squares in 4 ways, for example, as 57856605156 + 42255735844 = 240534^2 + 205562^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972555 + ... + 1070554.

Almost surely, 2100112341000 is an apocalyptic number.

100112341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112341000 is an abundant number, since it is smaller than the sum of its proper divisors (172397670800).

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

100112341000 is a wasteful number, since it uses less digits than its factorization.

100112341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043144 (or 2043123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100112341000 its reverse (143211001), we get a palindrome (100255552001).

The spelling of 100112341000 in words is "one hundred billion, one hundred twelve million, three hundred forty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 2043109 4086218 8172436 10215545 14301763 16344872 20431090 28603526 40862180 51077725 57207052 71508815 81724360 100112341 102155450 114414104 143017630 200224682 204310900 255388625 286035260 357544075 400449364 408621800 500561705 510777250 572070520 715088150 800898728 1001123410 1021554500 1430176300 1787720375 2002246820 2043109000 2502808525 2860352600 3575440750 4004493640 5005617050 7150881500 10011234100 12514042625 14301763000 20022468200 25028085250 50056170500 100112341000