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111321945 = 36574363
BaseRepresentation
bin1101010001010…
…10001101011001
321202110202000000
412220222031121
5211444300240
615014003213
72521135530
oct650521531
9252422000
10111321945
1157924909
1231346509
131a0a8c97
1410adb317
159b8e430
hex6a2a359

111321945 has 56 divisors (see below), whose sum is σ = 228952896. Its totient is φ = 50878368.

The previous prime is 111321941. The next prime is 111321971. The reversal of 111321945 is 549123111.

It is a happy number.

It is not a de Polignac number, because 111321945 - 22 = 111321941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (111321941) 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 55 ways as a sum of consecutive naturals, for example, 23334 + ... + 27696.

Almost surely, 2111321945 is an apocalyptic number.

111321945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111321945 is an abundant number, since it is smaller than the sum of its proper divisors (117630951).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111321945 is an frugal number, since it uses more digits than its factorization.

111321945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4378 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 111321945 is about 10550.9215237343. The cubic root of 111321945 is about 481.0537397293.

The spelling of 111321945 in words is "one hundred eleven million, three hundred twenty-one thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 729 945 1215 1701 2835 3645 4363 5103 8505 13089 21815 25515 30541 39267 65445 91623 117801 152705 196335 274869 353403 458115 589005 824607 1060209 1374345 1767015 2473821 3180627 4123035 5301045 7421463 12369105 15903135 22264389 37107315 111321945