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10210310432 = 257173772467
BaseRepresentation
bin10011000001001010…
…01111100100100000
3222100120111111210122
421200211033210200
5131402314413212
64405054215412
7511010130620
oct114045174440
928316444718
1010210310432
11436a4aa393
121b8b4b4568
13c6944470a
146cc06a880
153eb5a2272
hex26094f920

10210310432 has 96 divisors (see below), whose sum is σ = 24982328448. Its totient is φ = 4007079936.

The previous prime is 10210310417. The next prime is 10210310437. The reversal of 10210310432 is 23401301201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10210310432.

It is not an unprimeable number, because it can be changed into a prime (10210310437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104663 + ... + 177129.

It is an arithmetic number, because the mean of its divisors is an integer number (260232588).

Almost surely, 210210310432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12491164224).

10210310432 is an abundant number, since it is smaller than the sum of its proper divisors (14772018016).

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

10210310432 is a wasteful number, since it uses less digits than its factorization.

10210310432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72538 (or 72530 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10210310432 its reverse (23401301201), we get a palindrome (33611611633).

The spelling of 10210310432 in words is "ten billion, two hundred ten million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 68 74 112 119 136 148 224 238 259 272 296 476 518 544 592 629 952 1036 1184 1258 1904 2072 2516 3808 4144 4403 5032 8288 8806 10064 17612 20128 35224 70448 72467 140896 144934 289868 507269 579736 1014538 1159472 1231939 2029076 2318944 2463878 2681279 4058152 4927756 5362558 8116304 8623573 9855512 10725116 16232608 17247146 18768953 19711024 21450232 34494292 37537906 39422048 42900464 45581743 68988584 75075812 85800928 91163486 137977168 150151624 182326972 275954336 300303248 319072201 364653944 600606496 638144402 729307888 1276288804 1458615776 2552577608 5105155216 10210310432