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1023021211000 = 23535396719961
BaseRepresentation
bin11101110001100001101…
…00001101110101111000
310121210121002220010002111
432320300310031311320
5113230121412223000
62101545222542104
7133624263550165
oct16706064156570
93553532803074
101023021211000
11364951892508
12146327897934
1375616873399
143772ba9706c
151b927865cba
hexee30d0dd78

1023021211000 has 128 divisors (see below), whose sum is σ = 2441681573760. Its totient is φ = 401052288000.

The previous prime is 1023021210919. The next prime is 1023021211013. The reversal of 1023021211000 is 1121203201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51241020 + ... + 51260980.

It is an arithmetic number, because the mean of its divisors is an integer number (19075637295).

Almost surely, 21023021211000 is an apocalyptic number.

1023021211000 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 1023021211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220840786880).

1023021211000 is an abundant number, since it is smaller than the sum of its proper divisors (1418660362760).

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

1023021211000 is a wasteful number, since it uses less digits than its factorization.

1023021211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21002 (or 20988 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1023021211000 its reverse (1121203201), we get a palindrome (1024142414201).

The spelling of 1023021211000 in words is "one trillion, twenty-three billion, twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 967 1000 1060 1325 1934 2120 2650 3868 4835 5300 6625 7736 9670 10600 13250 19340 19961 24175 26500 38680 39922 48350 51251 53000 79844 96700 99805 102502 120875 159688 193400 199610 205004 241750 256255 399220 410008 483500 499025 512510 798440 967000 998050 1025020 1057933 1281275 1996100 2050040 2115866 2495125 2562550 3992200 4231732 4990250 5125100 5289665 6406375 8463464 9980500 10250200 10579330 12812750 19302287 19961000 21158660 25625500 26448325 38604574 42317320 51251000 52896650 77209148 96511435 105793300 132241625 154418296 193022870 211586600 264483250 386045740 482557175 528966500 772091480 965114350 1023021211 1057933000 1930228700 2046042422 2412785875 3860457400 4092084844 4825571750 5115106055 8184169688 9651143500 10230212110 19302287000 20460424220 25575530275 40920848440 51151060550 102302121100 127877651375 204604242200 255755302750 511510605500 1023021211000