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120149001 = 347297307
BaseRepresentation
bin1110010100101…
…01010000001001
322101002012110000
413022111100021
5221224232001
615531113213
72656151430
oct712252011
9271065400
10120149001
11619037a5
12342a2809
131bb799ab
1411d58117
15a834a86
hex7295409

120149001 has 40 divisors (see below), whose sum is σ = 212224320. Its totient is φ = 66280032.

The previous prime is 120148999. The next prime is 120149011. The reversal of 120149001 is 100941021.

It is not a de Polignac number, because 120149001 - 21 = 120148999 is a prime.

It is a super-3 number, since 3×1201490013 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (120149011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12790 + ... + 20096.

It is an arithmetic number, because the mean of its divisors is an integer number (5305608).

Almost surely, 2120149001 is an apocalyptic number.

120149001 is the 5481-st decagonal number.

It is an amenable number.

120149001 is a deficient number, since it is larger than the sum of its proper divisors (92075319).

120149001 is an equidigital number, since it uses as much as digits as its factorization.

120149001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7355 (or 7346 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 120149001 is about 10961.2499743414. The cubic root of 120149001 is about 493.4464793540.

The spelling of 120149001 in words is "one hundred twenty million, one hundred forty-nine thousand, one".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 261 567 609 783 1827 2349 5481 7307 16443 21921 51149 65763 153447 197289 211903 460341 591867 635709 1381023 1483321 1907127 4143069 4449963 5721381 13349889 17164143 40049667 120149001