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1021020121000 = 235311731271507
BaseRepresentation
bin11101101101110011000…
…10101010011110101000
310121121102122111012200001
432312321202222132220
5113212022122333000
62101014500352344
7133523554555435
oct16667142523650
93547378435601
101021020121000
11364015270a20
12145a696a56b4
1375388106b69
14375bbdd6b8c
151b85bd3a46a
hexedb98aa7a8

1021020121000 has 128 divisors (see below), whose sum is σ = 2642091903360. Its totient is φ = 366193728000.

The previous prime is 1021020120977. The next prime is 1021020121001. The reversal of 1021020121000 is 1210201201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1021020121001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167247 + ... + 1438753.

It is an arithmetic number, because the mean of its divisors is an integer number (20641342995).

Almost surely, 21021020121000 is an apocalyptic number.

1021020121000 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 1021020121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321045951680).

1021020121000 is an abundant number, since it is smaller than the sum of its proper divisors (1621071782360).

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

1021020121000 is a wasteful number, since it uses less digits than its factorization.

1021020121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271612 (or 1271598 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021020121000 its reverse (1210201201), we get a palindrome (1022230322201).

The spelling of 1021020121000 in words is "one trillion, twenty-one billion, twenty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 73 88 100 110 125 146 200 220 250 275 292 365 440 500 550 584 730 803 1000 1100 1375 1460 1606 1825 2200 2750 2920 3212 3650 4015 5500 6424 7300 8030 9125 11000 14600 16060 18250 20075 32120 36500 40150 73000 80300 100375 160600 200750 401500 803000 1271507 2543014 5086028 6357535 10172056 12715070 13986577 25430140 27973154 31787675 50860280 55946308 63575350 69932885 92820011 111892616 127150700 139865770 158938375 185640022 254301400 279731540 317876750 349664425 371280044 464100055 559463080 635753500 699328850 742560088 928200110 1021020121 1271507000 1398657700 1748322125 1856400220 2042040242 2320500275 2797315400 3496644250 3712800440 4084080484 4641000550 5105100605 6993288500 8168160968 9282001100 10210201210 11602501375 13986577000 18564002200 20420402420 23205002750 25525503025 40840804840 46410005500 51051006050 92820011000 102102012100 127627515125 204204024200 255255030250 510510060500 1021020121000