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120002181 = 3136174987
BaseRepresentation
bin1110010011100…
…01011010000101
322100210202001020
413021301122011
5221210032211
615524021353
72655000405
oct711613205
9270722036
10120002181
1161813462
1234231859
131bb27c10
1411d1a805
15a806306
hex7271685

120002181 has 16 divisors (see below), whose sum is σ = 172624704. Its totient is φ = 73713024.

The previous prime is 120002177. The next prime is 120002191. The reversal of 120002181 is 181200021.

It is not a de Polignac number, because 120002181 - 22 = 120002177 is a prime.

It is a super-3 number, since 3×1200021813 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 120002181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002111) 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 15 ways as a sum of consecutive naturals, for example, 21570 + ... + 26556.

It is an arithmetic number, because the mean of its divisors is an integer number (10789044).

Almost surely, 2120002181 is an apocalyptic number.

It is an amenable number.

120002181 is a deficient number, since it is larger than the sum of its proper divisors (52622523).

120002181 is a wasteful number, since it uses less digits than its factorization.

120002181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 120002181 is about 10954.5506982258. The cubic root of 120002181 is about 493.2454030750.

The spelling of 120002181 in words is "one hundred twenty million, two thousand, one hundred eighty-one".

Divisors: 1 3 13 39 617 1851 4987 8021 14961 24063 64831 194493 3076979 9230937 40000727 120002181