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107223369 = 311171311459
BaseRepresentation
bin1100110010000…
…01100101001001
321110202111210220
412121001211021
5204422121434
614350100253
72441245401
oct631014511
9243674726
10107223369
1155585560
122baaa689
13192a25a6
1410351801
15962ed49
hex6641949

107223369 has 32 divisors (see below), whose sum is σ = 166510080. Its totient is φ = 60652800.

The previous prime is 107223367. The next prime is 107223371. The reversal of 107223369 is 963322701.

107223369 = T1422 + T1423 + ... + T1520.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107223367) and next prime (107223371).

It is not a de Polignac number, because 107223369 - 21 = 107223367 is a prime.

It is a super-2 number, since 2×1072233692 = 22993701719420322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (107223367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72762 + ... + 74220.

It is an arithmetic number, because the mean of its divisors is an integer number (5203440).

Almost surely, 2107223369 is an apocalyptic number.

It is an amenable number.

107223369 is a deficient number, since it is larger than the sum of its proper divisors (59286711).

107223369 is a wasteful number, since it uses less digits than its factorization.

107223369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 107223369 is about 10354.8717519823. The cubic root of 107223369 is about 475.0760639038.

The spelling of 107223369 in words is "one hundred seven million, two hundred twenty-three thousand, three hundred sixty-nine".

Divisors: 1 3 11 17 33 51 131 187 393 561 1441 1459 2227 4323 4377 6681 16049 24497 24803 48147 73491 74409 191129 272833 573387 818499 2102419 3249193 6307257 9747579 35741123 107223369