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12100001010 = 2354767349367
BaseRepresentation
bin10110100010011011…
…10101110011110010
31011020021021201221120
423101031311303302
5144240100013020
65320401003110
7605564211606
oct132115656362
934207251846
1012100001010
11514a153939
122418323496
1311aaaa8916
1482b00d506
154ac425740
hex2d1375cf2

12100001010 has 128 divisors (see below), whose sum is σ = 30269030400. Its totient is φ = 3093513984.

The previous prime is 12100000987. The next prime is 12100001029. The reversal of 12100001010 is 1010000121.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12100001010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32969847 + ... + 32970213.

It is an arithmetic number, because the mean of its divisors is an integer number (236476800).

Almost surely, 212100001010 is an apocalyptic number.

12100001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134515200).

12100001010 is an abundant number, since it is smaller than the sum of its proper divisors (18169029390).

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

12100001010 is a wasteful number, since it uses less digits than its factorization.

12100001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 12100001010 its reverse (1010000121), we get a palindrome (13110001131).

The spelling of 12100001010 in words is "twelve billion, one hundred million, one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 47 67 94 134 141 201 235 282 335 349 367 402 470 670 698 705 734 1005 1047 1101 1410 1745 1835 2010 2094 2202 3149 3490 3670 5235 5505 6298 9447 10470 11010 15745 16403 17249 18894 23383 24589 31490 32806 34498 46766 47235 49178 49209 51747 70149 73767 82015 86245 94470 98418 103494 116915 122945 128083 140298 147534 164030 172490 233830 245890 246045 256166 258735 350745 368835 384249 492090 517470 640415 701490 737670 768498 1099001 1155683 1280830 1921245 2198002 2311366 3297003 3467049 3842490 5495005 5778415 6019901 6594006 6934098 8581561 10990010 11556830 12039802 16485015 17163122 17335245 18059703 25744683 30099505 32970030 34670490 36119406 42907805 51489366 60199010 85815610 90298515 128723415 180597030 257446830 403333367 806666734 1210000101 2016666835 2420000202 4033333670 6050000505 12100001010