Search a number
-
+
10212067368 = 23323116727397
BaseRepresentation
bin10011000001010111…
…11100100000101000
3222100200210202212100
421200223330200220
5131403242123433
64405200013400
7511031066106
oct114053744050
928320722770
1010212067368
11437049a3a8
121b90001260
13c6990b319
146cc3a6c76
153eb7ecb13
hex260afc828

10212067368 has 96 divisors (see below), whose sum is σ = 28721871360. Its totient is φ = 3274369920.

The previous prime is 10212067361. The next prime is 10212067391. The reversal of 10212067368 is 86376021201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10212067361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359046 + ... + 386442.

It is an arithmetic number, because the mean of its divisors is an integer number (299186160).

Almost surely, 210212067368 is an apocalyptic number.

10212067368 is a gapful number since it is divisible by the number (18) 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 10212067368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360935680).

10212067368 is an abundant number, since it is smaller than the sum of its proper divisors (18509803992).

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

10212067368 is a wasteful number, since it uses less digits than its factorization.

10212067368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27607 (or 27600 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 10212067368 its reverse (86376021201), we get a palindrome (96588088569).

The spelling of 10212067368 in words is "ten billion, two hundred twelve million, sixty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 167 186 248 279 334 372 501 558 668 744 1002 1116 1336 1503 2004 2232 3006 4008 5177 6012 10354 12024 15531 20708 27397 31062 41416 46593 54794 62124 82191 93186 109588 124248 164382 186372 219176 246573 328764 372744 493146 657528 849307 986292 1698614 1972584 2547921 3397228 4575299 5095842 6794456 7643763 9150598 10191684 13725897 15287526 18301196 20383368 27451794 30575052 36602392 41177691 54903588 61150104 82355382 109807176 141834269 164710764 283668538 329421528 425502807 567337076 851005614 1134674152 1276508421 1702011228 2553016842 3404022456 5106033684 10212067368