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100310332221 = 32112444341453
BaseRepresentation
bin101110101101011110…
…1100011001100111101
3100120220210120212000200
41131122331203030331
53120413421112341
6114025410314113
710150532520111
oct1353275431475
9316823525020
10100310332221
11395a5627310
1217535888939
1395c7bb7388
144bd8363741
1529215d9db6
hex175af6333d

100310332221 has 24 divisors (see below), whose sum is σ = 158075045856. Its totient is φ = 60790187040.

The previous prime is 100310332207. The next prime is 100310332223. The reversal of 100310332221 is 122233013001.

100310332221 is a `hidden beast` number, since 1 + 0 + 0 + 310 + 332 + 2 + 21 = 666.

It is not a de Polignac number, because 100310332221 - 27 = 100310332093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100310332194 and 100310332203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100310332223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399131 + ... + 2440583.

It is an arithmetic number, because the mean of its divisors is an integer number (6586460244).

Almost surely, 2100310332221 is an apocalyptic number.

100310332221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100310332221 is a deficient number, since it is larger than the sum of its proper divisors (57764713635).

100310332221 is a wasteful number, since it uses less digits than its factorization.

100310332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65913 (or 65910 counting only the distinct ones).

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

Adding to 100310332221 its reverse (122233013001), we get a palindrome (222543345222).

The spelling of 100310332221 in words is "one hundred billion, three hundred ten million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 24443 41453 73329 124359 219987 268873 373077 455983 806619 1367949 2419857 4103847 1013235679 3039707037 9119121111 11145592469 33436777407 100310332221