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1000020121000 = 23531763679239
BaseRepresentation
bin11101000110101011101…
…10000001010110101000
310112121020010021200022021
432203111312001112220
5112341020122333000
62043223005434224
7132151300530565
oct16432566012650
93477203250267
101000020121000
1135611931911a
1214198886b974
13733bc4c2064
1436588da386c
151b02d3dd11a
hexe8d5d815a8

1000020121000 has 128 divisors (see below), whose sum is σ = 2478354278400. Its totient is φ = 376378291200.

The previous prime is 1000020120989. The next prime is 1000020121033. The reversal of 1000020121000 is 1210200001.

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 31 ways as a sum of consecutive naturals, for example, 108234381 + ... + 108243619.

It is an arithmetic number, because the mean of its divisors is an integer number (19362142800).

Almost surely, 21000020121000 is an apocalyptic number.

1000020121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000020121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239177139200).

1000020121000 is an abundant number, since it is smaller than the sum of its proper divisors (1478334157400).

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

1000020121000 is a wasteful number, since it uses less digits than its factorization.

1000020121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15644 (or 15630 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1000020121000 its reverse (1210200001), we get a palindrome (1001230321001).

The spelling of 1000020121000 in words is "one trillion, twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 6367 8500 9239 12734 17000 18478 25468 31835 36956 46195 50936 63670 73912 92390 108239 127340 157063 159175 184780 216478 230975 254680 314126 318350 369560 432956 461950 541195 628252 636700 785315 795875 865912 923900 1082390 1154875 1256504 1273400 1570630 1591750 1847800 2164780 2309750 2705975 3141260 3183500 3926575 4329560 4619500 5411950 6282520 6367000 7853150 9239000 10823900 13529875 15706300 19632875 21647800 27059750 31412600 39265750 54119500 58824713 78531500 108239000 117649426 157063000 235298852 294123565 470597704 588247130 1000020121 1176494260 1470617825 2000040242 2352988520 2941235650 4000080484 5000100605 5882471300 7353089125 8000160968 10000201210 11764942600 14706178250 20000402420 25000503025 29412356500 40000804840 50001006050 58824713000 100002012100 125002515125 200004024200 250005030250 500010060500 1000020121000