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10212021216 = 253418772099
BaseRepresentation
bin10011000001010111…
…10001001111100000
3222100200201102120000
421200223301033200
5131403234134331
64405155020000
7511030514415
oct114053611740
928320642500
1010212021216
114370468761
121b8bb9a600
13c698c3307
146cc39410c
153eb7de0e6
hex260af13e0

10212021216 has 120 divisors (see below), whose sum is σ = 30063587400. Its totient is φ = 3400572672.

The previous prime is 10212021107. The next prime is 10212021217. The reversal of 10212021216 is 61212021201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212021217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4864135 + ... + 4866233.

It is an arithmetic number, because the mean of its divisors is an integer number (250529895).

Almost surely, 210212021216 is an apocalyptic number.

10212021216 is a gapful number since it is divisible by the number (16) 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 10212021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031793700).

10212021216 is an abundant number, since it is smaller than the sum of its proper divisors (19851566184).

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

10212021216 is a wasteful number, since it uses less digits than its factorization.

10212021216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10212021216 its reverse (61212021201), we get a palindrome (71424042417).

The spelling of 10212021216 in words is "ten billion, two hundred twelve million, twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1877 2099 2592 3754 4198 5631 6297 7508 8396 11262 12594 15016 16792 16893 18891 22524 25188 30032 33584 33786 37782 45048 50376 50679 56673 60064 67168 67572 75564 90096 100752 101358 113346 135144 151128 152037 170019 180192 201504 202716 226692 270288 302256 304074 340038 405432 453384 540576 604512 608148 680076 810864 906768 1216296 1360152 1621728 1813536 2432592 2720304 3939823 4865184 5440608 7879646 11819469 15759292 23638938 31518584 35458407 47277876 63037168 70916814 94555752 106375221 126074336 141833628 189111504 212750442 283667256 319125663 378223008 425500884 567334512 638251326 851001768 1134669024 1276502652 1702003536 2553005304 3404007072 5106010608 10212021216