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10213355022 = 23132347891361
BaseRepresentation
bin10011000001100001…
…10110111000001110
3222100210020012012020
421200300312320032
5131404104330042
64405243351010
7511045041153
oct114060667016
928323205166
1010213355022
114371199882
121b90522466
13c69c6c450
146cc62022a
153eb9a43ec
hex260c36e0e

10213355022 has 128 divisors (see below), whose sum is σ = 23723642880. Its totient is φ = 2906787840.

The previous prime is 10213355011. The next prime is 10213355023. The reversal of 10213355022 is 22055331201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10213354983 and 10213355001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213355023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7503622 + ... + 7504982.

It is an arithmetic number, because the mean of its divisors is an integer number (185340960).

Almost surely, 210213355022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213355022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11861821440).

10213355022 is an abundant number, since it is smaller than the sum of its proper divisors (13510287858).

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

10213355022 is a wasteful number, since it uses less digits than its factorization.

10213355022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 10213355022 its reverse (22055331201), we get a palindrome (32268686223).

The spelling of 10213355022 in words is "ten billion, two hundred thirteen million, three hundred fifty-five thousand, twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 47 69 78 89 94 138 141 178 267 282 299 534 598 611 897 1081 1157 1222 1361 1794 1833 2047 2162 2314 2722 3243 3471 3666 4083 4094 4183 6141 6486 6942 8166 8366 12282 12549 14053 17693 25098 26611 28106 31303 35386 42159 53079 53222 54379 62606 63967 79833 84318 93909 96209 106158 108758 121129 127934 159666 163137 187818 191901 192418 242258 288627 326274 363387 383802 406939 577254 726774 813878 831571 1220817 1250717 1471241 1574677 1663142 2441634 2494713 2501434 2785967 2942482 3149354 3752151 4413723 4724031 4989426 5571934 5693063 7504302 8357901 8827446 9448062 11386126 16715802 17079189 19126133 34158378 36217571 38252266 57378399 72435142 74009819 108652713 114756798 130940449 148019638 217305426 222029457 261880898 392821347 444058914 785642694 1702225837 3404451674 5106677511 10213355022