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120793101 = 311132711039
BaseRepresentation
bin1110011001100…
…10100000001101
322102021220222120
413030302200031
5221410334401
615553003153
72664503322
oct714624015
9272256876
10120793101
1162203710
12345534b9
131c043c10
1412084b49
15a910836
hex733280d

120793101 has 32 divisors (see below), whose sum is σ = 190095360. Its totient is φ = 67262400.

The previous prime is 120793097. The next prime is 120793117. The reversal of 120793101 is 101397021.

It is not a de Polignac number, because 120793101 - 22 = 120793097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120793121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115740 + ... + 116778.

It is an arithmetic number, because the mean of its divisors is an integer number (5940480).

Almost surely, 2120793101 is an apocalyptic number.

120793101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120793101 is a deficient number, since it is larger than the sum of its proper divisors (69302259).

120793101 is a wasteful number, since it uses less digits than its factorization.

120793101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 120793101 is about 10990.5914763492. The cubic root of 120793101 is about 494.3266714946.

The spelling of 120793101 in words is "one hundred twenty million, seven hundred ninety-three thousand, one hundred one".

Divisors: 1 3 11 13 33 39 143 271 429 813 1039 2981 3117 3523 8943 10569 11429 13507 34287 38753 40521 116259 148577 281569 445731 844707 3097259 3660397 9291777 10981191 40264367 120793101