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107222731 = 7211198929
BaseRepresentation
bin1100110010000…
…01011011001011
321110202110221021
412121001123023
5204422111411
614350053311
72441243500
oct631013313
9243673837
10107222731
1155585030
122baaa237
13192a2205
14103514a7
15962ea71
hex66416cb

107222731 has 12 divisors (see below), whose sum is σ = 136068120. Its totient is φ = 83549760.

The previous prime is 107222683. The next prime is 107222737. The reversal of 107222731 is 137222701.

It is a de Polignac number, because none of the positive numbers 2k-107222731 is a prime.

It is a super-2 number, since 2×1072227312 = 22993428086196722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107222696 and 107222705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107222737) 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 11 ways as a sum of consecutive naturals, for example, 98926 + ... + 100003.

It is an arithmetic number, because the mean of its divisors is an integer number (11339010).

Almost surely, 2107222731 is an apocalyptic number.

107222731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107222731 is a deficient number, since it is larger than the sum of its proper divisors (28845389).

107222731 is a wasteful number, since it uses less digits than its factorization.

107222731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198954 (or 198947 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 107222731 is about 10354.8409451811. The cubic root of 107222731 is about 475.0751216368.

The spelling of 107222731 in words is "one hundred seven million, two hundred twenty-two thousand, seven hundred thirty-one".

Divisors: 1 7 11 49 77 539 198929 1392503 2188219 9747521 15317533 107222731