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120116373 = 31317237877
BaseRepresentation
bin1110010100011…
…01010010010101
322101000112200120
413022031102111
5221222210443
615530302153
72655654336
oct712152225
9271015616
10120116373
1161891233
1234287959
131bb67ba0
1411d4a28d
15a82a083
hex728d495

120116373 has 32 divisors (see below), whose sum is σ = 190584576. Its totient is φ = 66536448.

The previous prime is 120116363. The next prime is 120116383. The reversal of 120116373 is 373611021.

It is an interprime number because it is at equal distance from previous prime (120116363) and next prime (120116383).

It is not a de Polignac number, because 120116373 - 24 = 120116357 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120116323) 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 31 ways as a sum of consecutive naturals, for example, 11311 + ... + 19187.

It is an arithmetic number, because the mean of its divisors is an integer number (5955768).

Almost surely, 2120116373 is an apocalyptic number.

120116373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120116373 is a deficient number, since it is larger than the sum of its proper divisors (70468203).

120116373 is a wasteful number, since it uses less digits than its factorization.

120116373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7933.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 120116373 is about 10959.7615393767. The cubic root of 120116373 is about 493.4018080730.

Adding to 120116373 its reverse (373611021), we get a palindrome (493727394).

The spelling of 120116373 in words is "one hundred twenty million, one hundred sixteen thousand, three hundred seventy-three".

Divisors: 1 3 13 17 23 39 51 69 221 299 391 663 897 1173 5083 7877 15249 23631 102401 133909 181171 307203 401727 543513 1740817 2355223 3079907 5222451 7065669 9239721 40038791 120116373