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120284899002 = 232192944927011
BaseRepresentation
bin111000000000110001…
…0011110011010111010
3102111110212020222110100
41300001202132122322
53432320413232002
6131131430500230
711455525525512
oct1600142363272
9374425228410
10120284899002
1147015764a44
121b38b204676
13b45c228868
145b71108842
1531deed011c
hex1c0189e6ba

120284899002 has 96 divisors (see below), whose sum is σ = 284436360000. Its totient is φ = 36591851520.

The previous prime is 120284899001. The next prime is 120284899013. The reversal of 120284899002 is 200998482021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120284899001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4439677 + ... + 4466687.

It is an arithmetic number, because the mean of its divisors is an integer number (2962878750).

Almost surely, 2120284899002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120284899002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142218180000).

120284899002 is an abundant number, since it is smaller than the sum of its proper divisors (164151460998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120284899002 is a wasteful number, since it uses less digits than its factorization.

120284899002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27516 (or 27513 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 120284899002 in words is "one hundred twenty billion, two hundred eighty-four million, eight hundred ninety-nine thousand, two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 449 522 551 898 1102 1347 1653 2694 3306 4041 4959 8082 8531 9918 13021 17062 25593 26042 27011 39063 51186 54022 76779 78126 81033 117189 153558 162066 234378 243099 247399 486198 494798 513209 742197 783319 1026418 1484394 1539627 1566638 2226591 2349957 3079254 4453182 4618881 4699914 7049871 9237762 12127939 14099742 14883061 24255878 29766122 36383817 44649183 72767634 89298366 109151451 133947549 218302902 230430841 267895098 351710231 460861682 691292523 703420462 1055130693 1382585046 2073877569 2110261386 3165392079 4147755138 6330784158 6682494389 13364988778 20047483167 40094966334 60142449501 120284899002