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10132323201 = 327111337113269
BaseRepresentation
bin10010110111110111…
…01111101110000001
3222011010202100102200
421123323233232001
5131222333320301
64353230503413
7506042216610
oct113373575601
928133670380
1010132323201
11432a483430
121b69364b69
13c5623a520
146c1969877
153e47e9c86
hex25beefb81

10132323201 has 192 divisors, whose sum is σ = 20435950080. Its totient is φ = 4668088320.

The previous prime is 10132323197. The next prime is 10132323209. The reversal of 10132323201 is 10232323101.

10132323201 is a `hidden beast` number, since 10 + 132 + 323 + 201 = 666.

It is not a de Polignac number, because 10132323201 - 22 = 10132323197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10132323209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37666495 + ... + 37666763.

It is an arithmetic number, because the mean of its divisors is an integer number (106437240).

Almost surely, 210132323201 is an apocalyptic number.

10132323201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10132323201 is an abundant number, since it is smaller than the sum of its proper divisors (10303626879).

10132323201 is a wasteful number, since it uses less digits than its factorization.

10132323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10132323201 its reverse (10232323101), we get a palindrome (20364646302).

It can be divided in two parts, 10132 and 323201, that added together give a palindrome (333333).

The spelling of 10132323201 in words is "ten billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred one".