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100020344424 = 2337111317376619
BaseRepresentation
bin101110100100110101…
…1010101011001101000
3100120011120220221112220
41131021223111121220
53114320202010144
6113540531034040
710140411620460
oct1351153253150
9316146827486
10100020344424
1139466971180
121747473b920
13957cab3870
144baba38ba0
152905e07919
hex1749ad5668

100020344424 has 512 divisors, whose sum is σ = 365144371200. Its totient is φ = 21956935680.

The previous prime is 100020344423. The next prime is 100020344491. The reversal of 100020344424 is 424443020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100020344394 and 100020344403.

It is not an unprimeable number, because it can be changed into a prime (100020344423) 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 127 ways as a sum of consecutive naturals, for example, 15107787 + ... + 15114405.

It is an arithmetic number, because the mean of its divisors is an integer number (713172600).

Almost surely, 2100020344424 is an apocalyptic number.

100020344424 is a gapful number since it is divisible by the number (14) 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 100020344424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182572185600).

100020344424 is an abundant number, since it is smaller than the sum of its proper divisors (265124026776).

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

100020344424 is a wasteful number, since it uses less digits than its factorization.

100020344424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 100020344424 its reverse (424443020001), we get a palindrome (524463364425).

It can be divided in two parts, 100020 and 344424, that added together give a palindrome (444444).

The spelling of 100020344424 in words is "one hundred billion, twenty million, three hundred forty-four thousand, four hundred twenty-four".