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10210201201000 = 2353101103981467
BaseRepresentation
bin1001010010010011111101…
…1010100110100101101000
31100011002022110212122100001
42110210333122212211220
52314240443001413000
633414300210152344
72102443206152143
oct224447732464550
940132273778301
1010210201201000
113287138442549
12118a97b8826b4
13590a82a4c9b8
14274267d8905a
1512a8cdc6a46a
hex9493f6a6968

10210201201000 has 128 divisors (see below), whose sum is σ = 24362705352960. Its totient is φ = 4004381280000.

The previous prime is 10210201200923. The next prime is 10210201201019. The reversal of 10210201201000 is 10210201201.

10210201201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 9912267 + ... + 10893733.

It is an arithmetic number, because the mean of its divisors is an integer number (190333635570).

Almost surely, 210210201201000 is an apocalyptic number.

10210201201000 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 10210201201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12181352676480).

10210201201000 is an abundant number, since it is smaller than the sum of its proper divisors (14152504151960).

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

10210201201000 is a wasteful number, since it uses less digits than its factorization.

10210201201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981692 (or 981678 counting only the distinct ones).

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

Adding to 10210201201000 its reverse (10210201201), we get a palindrome (10220411402201).

10210201201000 divided by its reverse (10210201201) gives a cube (1000 = 103).

The spelling of 10210201201000 in words is "ten trillion, two hundred ten billion, two hundred one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 103 125 200 202 206 250 404 412 500 505 515 808 824 1000 1010 1030 2020 2060 2525 2575 4040 4120 5050 5150 10100 10300 10403 12625 12875 20200 20600 20806 25250 25750 41612 50500 51500 52015 83224 101000 103000 104030 208060 260075 416120 520150 981467 1040300 1300375 1962934 2080600 2600750 3925868 4907335 5201500 7851736 9814670 10403000 19629340 24536675 39258680 49073350 98146700 99128167 101091101 122683375 196293400 198256334 202182202 245366750 396512668 404364404 490733500 495640835 505455505 793025336 808728808 981467000 991281670 1010911010 1982563340 2021822020 2478204175 2527277525 3965126680 4043644040 4956408350 5054555050 9912816700 10109110100 10210201201 12391020875 12636387625 19825633400 20218220200 20420402402 24782041750 25272775250 40840804804 49564083500 50545550500 51051006005 81681609608 99128167000 101091101000 102102012010 204204024020 255255030025 408408048040 510510060050 1021020120100 1276275150125 2042040240200 2552550300250 5105100600500 10210201201000