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10103002144 = 25378532941
BaseRepresentation
bin10010110100010111…
…11001010000100000
3222002002120200111121
421122023321100200
5131142332032034
64350302222024
7505235046514
oct113213712040
928062520447
1010103002144
114314977054
121b5b584914
13c501425a1
146bbad6144
153e1e571b4
hex25a2f9420

10103002144 has 24 divisors (see below), whose sum is σ = 20427863148. Its totient is φ = 4914973440.

The previous prime is 10103002121. The next prime is 10103002213. The reversal of 10103002144 is 44120030101.

It can be written as a sum of positive squares in 2 ways, for example, as 9757488400 + 345513744 = 98780^2 + 18588^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4265287 + ... + 4267654.

Almost surely, 210103002144 is an apocalyptic number.

It is an amenable number.

10103002144 is an abundant number, since it is smaller than the sum of its proper divisors (10324861004).

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

10103002144 is an equidigital number, since it uses as much as digits as its factorization.

10103002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8532988 (or 8532980 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10103002144 its reverse (44120030101), we get a palindrome (54223032245).

The spelling of 10103002144 in words is "ten billion, one hundred three million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 8532941 17065882 34131764 68263528 136527056 273054112 315718817 631437634 1262875268 2525750536 5051501072 10103002144