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100244434000 = 245350122217
BaseRepresentation
bin101110101011100001…
…0001010110001010000
3100120202012120212122211
41131113002022301100
53120300033342000
6114015054041504
710146102426034
oct1352702126120
9316665525584
10100244434000
1139571407a77
12175177a9294
1395b7353849
144bcd6cc1c4
15291a91e7ba
hex175708ac50

100244434000 has 40 divisors (see below), whose sum is σ = 242391046248. Its totient is φ = 40097772800.

The previous prime is 100244433943. The next prime is 100244434013. The reversal of 100244434000 is 434442001.

It can be written as a sum of positive squares in 4 ways, for example, as 2165227024 + 98079206976 = 46532^2 + 313176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25059109 + ... + 25063108.

Almost surely, 2100244434000 is an apocalyptic number.

100244434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100244434000 is an abundant number, since it is smaller than the sum of its proper divisors (142146612248).

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

100244434000 is an equidigital number, since it uses as much as digits as its factorization.

100244434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50122240 (or 50122224 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 100244434000 its reverse (434442001), we get a palindrome (100678876001).

The spelling of 100244434000 in words is "one hundred billion, two hundred forty-four million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 50122217 100244434 200488868 250611085 400977736 501222170 801955472 1002444340 1253055425 2004888680 2506110850 4009777360 5012221700 6265277125 10024443400 12530554250 20048886800 25061108500 50122217000 100244434000