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10203424144 = 24252532
BaseRepresentation
bin10011000000010101…
…11110010110010000
3222100002112122120221
421200022332112100
5131344034033034
64404250442424
7510564450154
oct114012762620
928302478527
1010203424144
114366626641
121b89133414
13c67ba31a4
146cb197064
153eab91bb4
hex2602be590

10203424144 has 15 divisors (see below), whose sum is σ = 19769917153. Its totient is φ = 5101510048.

The previous prime is 10203424139. The next prime is 10203424163. The reversal of 10203424144 is 44142430201.

The square root of 10203424144 is 101012.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9741690000 + 461734144 = 98700^2 + 21488^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 391422 + ... + 416674.

Almost surely, 210203424144 is an apocalyptic number.

10203424144 is the 101012-nd square number.

It is an amenable number.

10203424144 is a deficient number, since it is larger than the sum of its proper divisors (9566493009).

10203424144 is an frugal number, since it uses more digits than its factorization.

10203424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50514 (or 25255 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Multiplying 10203424144 by its sum of digits (25), we get a square (255085603600 = 5050602).

Adding to 10203424144 its reverse (44142430201), we get a palindrome (54345854345).

The spelling of 10203424144 in words is "ten billion, two hundred three million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 25253 50506 101012 202024 404048 637714009 1275428018 2550856036 5101712072 10203424144