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120077331 = 3115961673
BaseRepresentation
bin1110010100000…
…11110000010011
322100221120010120
413022003300103
5221214433311
615525401323
72655432453
oct712036023
9270846116
10120077331
1161864970
1234269243
131bb5319a
1411d39d63
15a81d706
hex7283c13

120077331 has 16 divisors (see below), whose sum is σ = 177621120. Its totient is φ = 71539520.

The previous prime is 120077329. The next prime is 120077369. The reversal of 120077331 is 133770021.

It is a cyclic number.

It is not a de Polignac number, because 120077331 - 21 = 120077329 is a prime.

It is a super-2 number, since 2×1200773312 = 28837130840167122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120077231) 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, 28890 + ... + 32783.

It is an arithmetic number, because the mean of its divisors is an integer number (11101320).

Almost surely, 2120077331 is an apocalyptic number.

120077331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120077331 is a deficient number, since it is larger than the sum of its proper divisors (57543789).

120077331 is a wasteful number, since it uses less digits than its factorization.

120077331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61746.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 120077331 is about 10957.9802427272. The cubic root of 120077331 is about 493.3483446958.

The spelling of 120077331 in words is "one hundred twenty million, seventy-seven thousand, three hundred thirty-one".

Divisors: 1 3 11 33 59 177 649 1947 61673 185019 678403 2035209 3638707 10916121 40025777 120077331