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120100002 = 231121737263
BaseRepresentation
bin1110010100010…
…01010010100010
322100222201020020
413022021102202
5221221200002
615530054310
72655555531
oct712112242
9270881206
10120100002
116187aa00
123427a396
131bb605b9
1411d44318
15a8252bc
hex72894a2

120100002 has 96 divisors (see below), whose sum is σ = 288199296. Its totient is φ = 33200640.

The previous prime is 120099977. The next prime is 120100003. The reversal of 120100002 is 200001021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (120100003) 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 47 ways as a sum of consecutive naturals, for example, 456523 + ... + 456785.

It is an arithmetic number, because the mean of its divisors is an integer number (3002076).

Almost surely, 2120100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144099648).

120100002 is an abundant number, since it is smaller than the sum of its proper divisors (168099294).

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

120100002 is a wasteful number, since it uses less digits than its factorization.

120100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 120100002 is about 10959.0146454871. The cubic root of 120100002 is about 493.3793913455.

Adding to 120100002 its reverse (200001021), we get a palindrome (320101023).

The spelling of 120100002 in words is "one hundred twenty million, one hundred thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 121 187 222 242 263 363 374 407 526 561 629 726 789 814 1122 1221 1258 1578 1887 2057 2442 2893 3774 4114 4471 4477 5786 6171 6919 8679 8942 8954 9731 12342 13413 13431 13838 17358 19462 20757 26826 26862 29193 31823 41514 49181 58386 63646 76109 95469 98362 107041 147543 152218 165427 190938 214082 228327 295086 321123 330854 456654 496281 540991 642246 992562 1081982 1177451 1622973 1819697 2354902 3245946 3532353 3639394 5459091 7064706 10918182 20016667 40033334 60050001 120100002