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132144221 = 11219229251
BaseRepresentation
bin1111110000001…
…01110001011101
3100012122121210102
413320011301131
5232312103341
621040150445
73163131056
oct770056135
9305577712
10132144221
1168656a00
1238308425
13214b9761
141379b72d
15b903c9b
hex7e05c5d

132144221 has 24 divisors (see below), whose sum is σ = 154173600. Its totient is φ = 112860000.

The previous prime is 132144209. The next prime is 132144253. The reversal of 132144221 is 122441231.

132144221 = T310 + T311 + ... + T936.

It is not a de Polignac number, because 132144221 - 214 = 132127837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132144193 and 132144202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132144421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526346 + ... + 526596.

It is an arithmetic number, because the mean of its divisors is an integer number (6423900).

Almost surely, 2132144221 is an apocalyptic number.

132144221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132144221 is a deficient number, since it is larger than the sum of its proper divisors (22029379).

132144221 is a wasteful number, since it uses less digits than its factorization.

132144221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 132144221 is about 11495.3999930407. The cubic root of 132144221 is about 509.3497042954.

Adding to 132144221 its reverse (122441231), we get a palindrome (254585452).

The spelling of 132144221 in words is "one hundred thirty-two million, one hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 11 19 121 209 229 251 2299 2519 2761 4351 4769 27709 30371 47861 52459 57479 526471 577049 632269 1092101 6954959 12013111 132144221