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10210201020 = 22325176749801
BaseRepresentation
bin10011000001001001…
…10100110110111100
3222100120021221201100
421200210310312330
5131402302413040
64405052013100
7511006163625
oct114044646674
928316257640
1010210201020
11436a435168
121b8b461190
13c69406986
146cc03ca4c
153eb57eb30
hex260934dbc

10210201020 has 144 divisors (see below), whose sum is σ = 33282875808. Its totient is φ = 2524262400.

The previous prime is 10210200997. The next prime is 10210201031. The reversal of 10210201020 is 2010201201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10210200993 and 10210201011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180120 + ... + 229920.

It is an arithmetic number, because the mean of its divisors is an integer number (231131082).

Almost surely, 210210201020 is an apocalyptic number.

10210201020 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 10210201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16641437904).

10210201020 is an abundant number, since it is smaller than the sum of its proper divisors (23072674788).

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

10210201020 is a wasteful number, since it uses less digits than its factorization.

10210201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49900 (or 49895 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10210201020 its reverse (2010201201), we get a palindrome (12220402221).

The spelling of 10210201020 in words is "ten billion, two hundred ten million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 67 68 85 90 102 134 153 170 180 201 204 255 268 306 335 340 402 510 603 612 670 765 804 1005 1020 1139 1206 1340 1530 2010 2278 2412 3015 3060 3417 4020 4556 5695 6030 6834 10251 11390 12060 13668 17085 20502 22780 34170 41004 49801 51255 68340 99602 102510 149403 199204 205020 249005 298806 448209 498010 597612 747015 846617 896418 996020 1494030 1693234 1792836 2241045 2539851 2988060 3336667 3386468 4233085 4482090 5079702 6673334 7619553 8466170 8964180 10010001 10159404 12699255 13346668 15239106 16683335 16932340 20020002 25398510 30030003 30478212 33366670 38097765 40040004 50050005 50797020 56723339 60060006 66733340 76195530 100100010 113446678 120120012 150150015 152391060 170170017 200200020 226893356 283616695 300300030 340340034 510510051 567233390 600600060 680680068 850850085 1021020102 1134466780 1701700170 2042040204 2552550255 3403400340 5105100510 10210201020