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10210211000 = 2353116311471
BaseRepresentation
bin10011000001001001…
…10111010010111000
3222100120022110101222
421200210313102320
5131402303223000
64405052131212
7511006235003
oct114044672270
928316273358
1010210211000
11436a441710
121b8b466b08
13c6940b392
146cc04253a
153eb582a85
hex2609374b8

10210211000 has 128 divisors (see below), whose sum is σ = 26122936320. Its totient is φ = 3704400000.

The previous prime is 10210210949. The next prime is 10210211009. The reversal of 10210211000 is 11201201.

Added to its reverse (11201201) it gives a square (10221412201 = 1011012).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210211009) 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, 6940265 + ... + 6941735.

It is an arithmetic number, because the mean of its divisors is an integer number (204085440).

Almost surely, 210210211000 is an apocalyptic number.

10210211000 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 10210211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061468160).

10210211000 is an abundant number, since it is smaller than the sum of its proper divisors (15912725320).

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

10210211000 is a wasteful number, since it uses less digits than its factorization.

10210211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2120 counting only the distinct ones).

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

Adding to 10210211000 its reverse (11201201), we get a palindrome (10221412201).

The spelling of 10210211000 in words is "ten billion, two hundred ten million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 631 1000 1100 1262 1375 1471 2200 2524 2750 2942 3155 5048 5500 5884 6310 6941 7355 11000 11768 12620 13882 14710 15775 16181 25240 27764 29420 31550 32362 34705 36775 55528 58840 63100 64724 69410 73550 78875 80905 126200 129448 138820 147100 157750 161810 173525 183875 277640 294200 315500 323620 347050 367750 404525 631000 647240 694100 735500 809050 867625 928201 1388200 1471000 1618100 1735250 1856402 2022625 3236200 3470500 3712804 4045250 4641005 6941000 7425608 8090500 9282010 10210211 16181000 18564020 20420422 23205025 37128040 40840844 46410050 51051055 81681688 92820100 102102110 116025125 185640200 204204220 232050250 255255275 408408440 464100500 510510550 928201000 1021021100 1276276375 2042042200 2552552750 5105105500 10210211000