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10213240518 = 23213177136161
BaseRepresentation
bin10011000001100000…
…11010111011000110
3222100210000101010100
421200300122323012
5131404042144033
64405241104530
7511044053265
oct114060327306
928323011110
1010213240518
114371120848
121b90488146
13c69c2c2b0
146cc5d05dc
153eb980513
hex260c1aec6

10213240518 has 96 divisors (see below), whose sum is σ = 25588809792. Its totient is φ = 2915942400.

The previous prime is 10213240511. The next prime is 10213240519. The reversal of 10213240518 is 81504231201.

10213240518 is a `hidden beast` number, since 10 + 2 + 132 + 4 + 0 + 518 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10213240491 and 10213240500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213240511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264358 + ... + 300518.

It is an arithmetic number, because the mean of its divisors is an integer number (266550102).

Almost surely, 210213240518 is an apocalyptic number.

10213240518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213240518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12794404896).

10213240518 is an abundant number, since it is smaller than the sum of its proper divisors (15375569274).

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

10213240518 is a wasteful number, since it uses less digits than its factorization.

10213240518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36270 (or 36267 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 10213240518 its reverse (81504231201), we get a palindrome (91717471719).

The spelling of 10213240518 in words is "ten billion, two hundred thirteen million, two hundred forty thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 71 78 102 117 142 153 213 221 234 306 426 442 639 663 923 1207 1278 1326 1846 1989 2414 2769 3621 3978 5538 7242 8307 10863 15691 16614 21726 31382 36161 47073 72322 94146 108483 141219 216966 282438 325449 470093 614737 650898 940186 1229474 1410279 1844211 2567431 2820558 3688422 4230837 5134862 5532633 7702293 7991581 8461674 11065266 15404586 15983162 23106879 23974743 33376603 43646327 46213758 47949486 66753206 71924229 87292654 100129809 130938981 143848458 200259618 261877962 300389427 392816943 567402251 600778854 785633886 1134804502 1702206753 3404413506 5106620259 10213240518