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127001001402 = 232114794714411
BaseRepresentation
bin111011001000111011…
…0010111110110111010
3110010210220210022221200
41312101312113312322
54040044224021102
6134202104115030
712114126462132
oct1662166276672
9403726708850
10127001001402
11499518330a0
1220744465a76
13bc8c781052
14620b083ac2
15348491b51c
hex1d91d97dba

127001001402 has 96 divisors (see below), whose sum is σ = 306916107264. Its totient is φ = 37623933600.

The previous prime is 127001001367. The next prime is 127001001403. The reversal of 127001001402 is 204100100721.

It is a super-3 number, since 3×1270010014023 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (127001001403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8805577 + ... + 8819987.

It is an arithmetic number, because the mean of its divisors is an integer number (3197042784).

Almost surely, 2127001001402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127001001402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153458053632).

127001001402 is an abundant number, since it is smaller than the sum of its proper divisors (179915105862).

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

127001001402 is a wasteful number, since it uses less digits than its factorization.

127001001402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15424 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The spelling of 127001001402 in words is "one hundred twenty-seven billion, one million, one thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 947 1034 1551 1894 2841 3102 4653 5682 8523 9306 10417 14411 17046 20834 28822 31251 43233 44509 62502 86466 89018 93753 129699 133527 158521 187506 259398 267054 317042 400581 475563 489599 677317 801162 951126 979198 1354634 1426689 1468797 2031951 2853378 2937594 4063902 4406391 6095853 7450487 8812782 12191706 13647217 14900974 22351461 27294434 40941651 44702922 67054383 81883302 122824953 134108766 150119387 245649906 300238774 450358161 641419199 900716322 1282838398 1351074483 1924257597 2702148966 3848515194 5772772791 7055611189 11545545582 14111222378 21166833567 42333667134 63500500701 127001001402