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10202121228 = 223131314671069
BaseRepresentation
bin10011000000001100…
…00000010000001100
3222100000002110022210
421200012000100030
5131343220334403
64404202510420
7510550412445
oct114006002014
928300073283
1010202121228
114365916752
121b88805410
13c67838130
146cad382cc
153ea9d5b03
hex26018040c

10202121228 has 96 divisors (see below), whose sum is σ = 25911325440. Its totient is φ = 3105573120.

The previous prime is 10202121221. The next prime is 10202121253. The reversal of 10202121228 is 82212120201.

It is not an unprimeable number, because it can be changed into a prime (10202121221) 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, 9543078 + ... + 9544146.

It is an arithmetic number, because the mean of its divisors is an integer number (269909640).

Almost surely, 210202121228 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 10202121228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12955662720).

10202121228 is an abundant number, since it is smaller than the sum of its proper divisors (15709204212).

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

10202121228 is a wasteful number, since it uses less digits than its factorization.

10202121228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10202121228 its reverse (82212120201), we get a palindrome (92414241429).

The spelling of 10202121228 in words is "ten billion, two hundred two million, one hundred twenty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 467 524 786 934 1069 1401 1572 1703 1868 2138 2802 3207 3406 4276 5109 5604 6071 6414 6812 10218 12142 12828 13897 18213 20436 24284 27794 36426 41691 55588 61177 72852 83382 122354 140039 166764 183531 244708 280078 367062 420117 499223 560156 734124 795301 840234 998446 1497669 1590602 1680468 1820507 1996892 2385903 2995338 3181204 3641014 4771806 5461521 5990676 6489899 7282028 9543612 10923042 12979798 19469697 21846084 25959596 38939394 65398213 77878788 130796426 196194639 261592852 392389278 784778556 850176769 1700353538 2550530307 3400707076 5101060614 10202121228