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20010210011000 = 2353113674956703
BaseRepresentation
bin1001000110010111111010…
…11101011010011101111000
32121211221211221101210201022
410203023331131122131320
510110321402230323000
6110320321422042012
74133455441464536
oct443137535323570
977757757353638
1020010210011000
116415311982460
1222b2142a19308
13b21c54652071
144d26dc24b156
1524a7a13c9585
hex1232fd75a778

20010210011000 has 128 divisors (see below), whose sum is σ = 51219803381760. Its totient is φ = 7256611728000.

The previous prime is 20010210010969. The next prime is 20010210011047. The reversal of 20010210011000 is 11001201002.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 1558649 + ... + 6515351.

It is an arithmetic number, because the mean of its divisors is an integer number (400154713920).

Almost surely, 220010210011000 is an apocalyptic number.

20010210011000 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 20010210011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25609901690880).

20010210011000 is an abundant number, since it is smaller than the sum of its proper divisors (31209593370760).

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

20010210011000 is a wasteful number, since it uses less digits than its factorization.

20010210011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957102 (or 4957088 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20010210011000 its reverse (11001201002), we get a palindrome (20021211212002).

The spelling of 20010210011000 in words is "twenty trillion, ten billion, two hundred ten million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 367 440 500 550 734 1000 1100 1375 1468 1835 2200 2750 2936 3670 4037 5500 7340 8074 9175 11000 14680 16148 18350 20185 32296 36700 40370 45875 73400 80740 91750 100925 161480 183500 201850 367000 403700 504625 807400 1009250 2018500 4037000 4956703 9913406 19826812 24783515 39653624 49567030 54523733 99134060 109047466 123917575 198268120 218094932 247835150 272618665 436189864 495670300 545237330 619587875 991340600 1090474660 1239175750 1363093325 1819110001 2180949320 2478351500 2726186650 3638220002 4956703000 5452373300 6815466625 7276440004 9095550005 10904746600 13630933250 14552880008 18191100010 20010210011 27261866500 36382200020 40020420022 45477750025 54523733000 72764400040 80040840044 90955500050 100051050055 160081680088 181911000100 200102100110 227388750125 363822000200 400204200220 454777500250 500255250275 800408400440 909555000500 1000510500550 1819110001000 2001021001100 2501276251375 4002042002200 5002552502750 10005105005500 20010210011000