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120121331 = 1147283821
BaseRepresentation
bin1110010100011…
…10011111110011
322101000210111012
413022032133303
5221222340311
615530341135
72656004651
oct712163763
9271023435
10120121331
1161894a30
123428a7ab
131bb6a215
1411d4bdd1
15a82b78b
hex728e7f3

120121331 has 16 divisors (see below), whose sum is σ = 134466048. Its totient is φ = 106370400.

The previous prime is 120121319. The next prime is 120121333. The reversal of 120121331 is 133121021.

It is a de Polignac number, because none of the positive numbers 2k-120121331 is a prime.

It is a super-2 number, since 2×1201213312 = 28858268322423122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120121333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145901 + ... + 146721.

It is an arithmetic number, because the mean of its divisors is an integer number (8404128).

Almost surely, 2120121331 is an apocalyptic number.

120121331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120121331 is a deficient number, since it is larger than the sum of its proper divisors (14344717).

120121331 is a wasteful number, since it uses less digits than its factorization.

120121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 120121331 is about 10959.9877280953. The cubic root of 120121331 is about 493.4085966354.

Adding to 120121331 its reverse (133121021), we get a palindrome (253242352).

The spelling of 120121331 in words is "one hundred twenty million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 11 47 283 517 821 3113 9031 13301 38587 146311 232343 424457 2555773 10920121 120121331