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100040124200 = 2352639778193
BaseRepresentation
bin101110100101011011…
…0110010011100101000
3100120012222010212022012
41131022312302130220
53114340232433300
6113542515015052
710141042011452
oct1351266623450
9316188125265
10100040124200
1139477050aa5
121747b29a488
139583c1a983
144bb05072d2
152907a13435
hex174adb2728

100040124200 has 48 divisors (see below), whose sum is σ = 232632623580. Its totient is φ = 40009282560.

The previous prime is 100040124199. The next prime is 100040124209. The reversal of 100040124200 is 2421040001.

It can be written as a sum of positive squares in 6 ways, for example, as 246050596 + 99794073604 = 15686^2 + 315902^2 .

It is not an unprimeable number, because it can be changed into a prime (100040124209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1240304 + ... + 1318496.

Almost surely, 2100040124200 is an apocalyptic number.

100040124200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100040124200 is an abundant number, since it is smaller than the sum of its proper divisors (132592499380).

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

100040124200 is a wasteful number, since it uses less digits than its factorization.

100040124200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84606 (or 84597 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100040124200 its reverse (2421040001), we get a palindrome (102461164201).

The spelling of 100040124200 in words is "one hundred billion, forty million, one hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 6397 12794 25588 31985 51176 63970 78193 127940 156386 159925 255880 312772 319850 390965 625544 639700 781930 1279400 1563860 1954825 3127720 3909650 7819300 15638600 500200621 1000401242 2000802484 2501003105 4001604968 5002006210 10004012420 12505015525 20008024840 25010031050 50020062100 100040124200