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120200093 = 1323439349
BaseRepresentation
bin1110010101000…
…01101110011101
322101011210112022
413022201232131
5221232400333
615532145525
72656453406
oct712415635
9271153468
10120200093
1161939122
12343082a5
131bb97020
1411d6c9ad
15a844c98
hex72a1b9d

120200093 has 16 divisors (see below), whose sum is σ = 138230400. Its totient is φ = 103650624.

The previous prime is 120200071. The next prime is 120200123. The reversal of 120200093 is 390002021.

It is a cyclic number.

It is not a de Polignac number, because 120200093 - 26 = 120200029 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8183 + ... + 17531.

It is an arithmetic number, because the mean of its divisors is an integer number (8639400).

Almost surely, 2120200093 is an apocalyptic number.

120200093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120200093 is a deficient number, since it is larger than the sum of its proper divisors (18030307).

120200093 is a wasteful number, since it uses less digits than its factorization.

120200093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 120200093 is about 10963.5803002486. The cubic root of 120200093 is about 493.5164136149.

The spelling of 120200093 in words is "one hundred twenty million, two hundred thousand, ninety-three".

Divisors: 1 13 23 43 299 559 989 9349 12857 121537 215027 402007 2795351 5226091 9246161 120200093