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10210223324 = 22717211277367
BaseRepresentation
bin10011000001001001…
…11010010011011100
3222100120100002022102
421200210322103130
5131402304121244
64405052304232
7511006315640
oct114044722334
928316302272
1010210223324
11436a44a9a4
121b8b472078
13c69413b82
146cc046c20
153eb58654e
hex26093a4dc

10210223324 has 96 divisors (see below), whose sum is σ = 21861955584. Its totient is φ = 4072965120.

The previous prime is 10210223321. The next prime is 10210223327. The reversal of 10210223324 is 42332201201.

It is an interprime number because it is at equal distance from previous prime (10210223321) and next prime (10210223327).

It is a junction number, because it is equal to n+sod(n) for n = 10210223296 and 10210223305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210223321) 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, 27820589 + ... + 27820955.

It is an arithmetic number, because the mean of its divisors is an integer number (227728704).

Almost surely, 210210223324 is an apocalyptic number.

10210223324 is a gapful number since it is divisible by the number (14) 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 10210223324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10930977792).

10210223324 is an abundant number, since it is smaller than the sum of its proper divisors (11651732260).

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

10210223324 is a wasteful number, since it uses less digits than its factorization.

10210223324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10210223324 its reverse (42332201201), we get a palindrome (52542424525).

The spelling of 10210223324 in words is "ten billion, two hundred ten million, two hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 211 238 277 367 422 476 554 734 844 1108 1468 1477 1939 2569 2954 3587 3878 4709 5138 5908 6239 7174 7756 9418 10276 12478 14348 18836 24956 25109 32963 43673 50218 58447 65926 77437 87346 100436 101659 116894 131852 154874 174692 203318 233788 309748 406636 409129 542059 711613 818258 993599 1084118 1316429 1423226 1636516 1728203 1987198 2168236 2632858 2846452 3456406 3974396 5265716 6912812 6955193 9215003 12097421 13910386 18430006 21450049 24194842 27820772 36860012 42900098 48389684 85800196 150150343 300300686 364650833 600601372 729301666 1458603332 2552555831 5105111662 10210223324