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10535234320 = 2451310130033
BaseRepresentation
bin10011100111111001…
…01110101100010000
31000012012220100120201
421303330232230100
5133034004444240
64501222344544
7522034004602
oct116374565420
930165810521
1010535234320
114516957526
12206028b154
13cbb85ab80
1471d28b172
15419d85d9a
hex273f2eb10

10535234320 has 40 divisors (see below), whose sum is σ = 26378608536. Its totient is φ = 3889932288.

The previous prime is 10535234317. The next prime is 10535234329. The reversal of 10535234320 is 2343253501.

It can be written as a sum of positive squares in 4 ways, for example, as 643738384 + 9891495936 = 25372^2 + 99456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105352343202 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10535234329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5063977 + ... + 5066056.

Almost surely, 210535234320 is an apocalyptic number.

10535234320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10535234320 is an abundant number, since it is smaller than the sum of its proper divisors (15843374216).

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

10535234320 is a wasteful number, since it uses less digits than its factorization.

10535234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130059 (or 10130053 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 10535234320 its reverse (2343253501), we get a palindrome (12878487821).

The spelling of 10535234320 in words is "ten billion, five hundred thirty-five million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 10130033 20260066 40520132 50650165 81040264 101300330 131690429 162080528 202600660 263380858 405201320 526761716 658452145 810402640 1053523432 1316904290 2107046864 2633808580 5267617160 10535234320