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10202102441 = 176110939001
BaseRepresentation
bin10011000000001011…
…11011101010101001
3222100000001111112222
421200011323222221
5131343214234231
64404202243425
7510550303616
oct114005735251
928300044488
1010202102441
114365903623
121b887b6575
13c6782c70b
146cad3150d
153ea9d027b
hex26017baa9

10202102441 has 16 divisors (see below), whose sum is σ = 10990577808. Its totient is φ = 9434880000.

The previous prime is 10202102429. The next prime is 10202102453. The reversal of 10202102441 is 14420120201.

10202102441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10202102429) and next prime (10202102453).

It can be written as a sum of positive squares in 8 ways, for example, as 92416 + 10202010025 = 304^2 + 101005^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202102441 - 226 = 10134993577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10202102401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128941 + ... + 1137941.

It is an arithmetic number, because the mean of its divisors is an integer number (686911113).

Almost surely, 210202102441 is an apocalyptic number.

It is an amenable number.

10202102441 is a deficient number, since it is larger than the sum of its proper divisors (788475367).

10202102441 is a wasteful number, since it uses less digits than its factorization.

10202102441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10172.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10202102441 its reverse (14420120201), we get a palindrome (24622222642).

The spelling of 10202102441 in words is "ten billion, two hundred two million, one hundred two thousand, four hundred forty-one".

Divisors: 1 17 61 1037 1093 9001 18581 66673 153017 549061 1133441 9334037 9838093 167247581 600123673 10202102441