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122100231 = 31119918593
BaseRepresentation
bin1110100011100…
…01101000000111
322111202100000210
413101301220013
5222224201411
620041010503
73011556231
oct721615007
9274670023
10122100231
1162a16790
1234a83a33
131c3b0b76
1412305251
15aabcca6
hex7471a07

122100231 has 16 divisors (see below), whose sum is σ = 178502400. Its totient is φ = 73624320.

The previous prime is 122100211. The next prime is 122100233. The reversal of 122100231 is 132001221.

It is not a de Polignac number, because 122100231 - 211 = 122098183 is a prime.

It is a super-2 number, since 2×1221002312 = 29816932820506722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2730 + ... + 15863.

It is an arithmetic number, because the mean of its divisors is an integer number (11156400).

Almost surely, 2122100231 is an apocalyptic number.

122100231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122100231 is a deficient number, since it is larger than the sum of its proper divisors (56402169).

122100231 is a wasteful number, since it uses less digits than its factorization.

122100231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18806.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 122100231 is about 11049.8973298398. The cubic root of 122100231 is about 496.1033524980.

Adding to 122100231 its reverse (132001221), we get a palindrome (254101452).

The spelling of 122100231 in words is "one hundred twenty-two million, one hundred thousand, two hundred thirty-one".

Divisors: 1 3 11 33 199 597 2189 6567 18593 55779 204523 613569 3700007 11100021 40700077 122100231