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120132221 = 11113127761
BaseRepresentation
bin1110010100100…
…01001001111101
322101001100102112
413022101021331
5221223212341
615530503405
72656051466
oct712211175
9271040375
10120132221
11618a2130
1234294b65
131bb72171
1411d51d6d
15a82eaeb
hex729127d

120132221 has 16 divisors (see below), whose sum is σ = 133429248. Its totient is φ = 107251200.

The previous prime is 120132211. The next prime is 120132227. The reversal of 120132221 is 122231021.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120132221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120132196 and 120132205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120132227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157481 + ... + 158241.

It is an arithmetic number, because the mean of its divisors is an integer number (8339328).

Almost surely, 2120132221 is an apocalyptic number.

120132221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120132221 is a deficient number, since it is larger than the sum of its proper divisors (13297027).

120132221 is a wasteful number, since it uses less digits than its factorization.

120132221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 120132221 is about 10960.4845239615. The cubic root of 120132221 is about 493.4235067190.

Adding to 120132221 its reverse (122231021), we get a palindrome (242363242).

The spelling of 120132221 in words is "one hundred twenty million, one hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 11 113 127 761 1243 1397 8371 14351 85993 96647 157861 945923 1063117 10921111 120132221