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20210121011000 = 2353971511379813
BaseRepresentation
bin1001001100001100010010…
…00101010110111100111000
32122120001212002012211011102
410212012021011112330320
510122110311434323000
6110552222412350532
74154063432112404
oct446061105267470
978501762184142
1020210121011000
116492078485638
122324a34775448
13b37a633ac4cb
144dc2645a2104
15250aa1b1d3d5
hex126189156f38

20210121011000 has 128 divisors (see below), whose sum is σ = 48095679864960. Its totient is φ = 7947717120000.

The previous prime is 20210121010997. The next prime is 20210121011009. The reversal of 20210121011000 is 11012101202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20210121011009) 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, 13957094 + ... + 15336906.

It is an arithmetic number, because the mean of its divisors is an integer number (375747498945).

Almost surely, 220210121011000 is an apocalyptic number.

20210121011000 is a gapful number since it is divisible by the number (20) 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 20210121011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24047839932480).

20210121011000 is an abundant number, since it is smaller than the sum of its proper divisors (27885558853960).

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

20210121011000 is a wasteful number, since it uses less digits than its factorization.

20210121011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380082 (or 1380068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20210121011000 its reverse (11012101202), we get a palindrome (20221133112202).

The spelling of 20210121011000 in words is "twenty trillion, two hundred ten billion, one hundred twenty-one million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 151 194 200 250 302 388 485 500 604 755 776 970 1000 1208 1510 1940 2425 3020 3775 3880 4850 6040 7550 9700 12125 14647 15100 18875 19400 24250 29294 30200 37750 48500 58588 73235 75500 97000 117176 146470 151000 292940 366175 585880 732350 1379813 1464700 1830875 2759626 2929400 3661750 5519252 6899065 7323500 11038504 13798130 14647000 27596260 34495325 55192520 68990650 133841861 137981300 172476625 208351763 267683722 275962600 344953250 416703526 535367444 669209305 689906500 833407052 1041758815 1070734888 1338418610 1379813000 1666814104 2083517630 2676837220 3346046525 4167035260 5208794075 5353674440 6692093050 8334070520 10417588150 13384186100 16730232625 20210121011 20835176300 26043970375 26768372200 33460465250 40420242022 41670352600 52087940750 66920930500 80840484044 101050605055 104175881500 133841861000 161680968088 202101210110 208351763000 404202420220 505253025275 808404840440 1010506050550 2021012101100 2526265126375 4042024202200 5052530252750 10105060505500 20210121011000