Search a number
-
+
10323344214 = 23717197307
BaseRepresentation
bin10011001110101000…
…11011101101010110
3222122110012020000000
421213110123231112
5132120234003324
64424213032130
7513551656311
oct114724335526
928573166000
1010323344214
114418293337
122001325646
13c8699c901
146dd091978
1540647d9c9
hex26751bb56

10323344214 has 128 divisors (see below), whose sum is σ = 25887859200. Its totient is φ = 3067818624.

The previous prime is 10323344201. The next prime is 10323344243. The reversal of 10323344214 is 41244332301.

10323344214 is a `hidden beast` number, since 1 + 0 + 3 + 233 + 4 + 421 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1409149 + ... + 1416455.

It is an arithmetic number, because the mean of its divisors is an integer number (202248900).

Almost surely, 210323344214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10323344214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943929600).

10323344214 is an abundant number, since it is smaller than the sum of its proper divisors (15564514986).

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

10323344214 is an equidigital number, since it uses as much as digits as its factorization.

10323344214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366 (or 7348 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10323344214 its reverse (41244332301), we get a palindrome (51567676515).

The spelling of 10323344214 in words is "ten billion, three hundred twenty-three million, three hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 243 306 323 342 459 486 513 646 729 918 969 1026 1377 1458 1539 1938 2187 2754 2907 3078 4131 4374 4617 5814 7307 8262 8721 9234 12393 13851 14614 17442 21921 24786 26163 27702 37179 41553 43842 52326 65763 74358 78489 83106 124219 131526 138833 156978 197289 235467 248438 277666 372657 394578 416499 470934 591867 706401 745314 832998 1117971 1183734 1249497 1412802 1775601 2235942 2360161 2498994 3353913 3551202 3748491 4720322 5326803 6707826 7080483 7496982 10061739 10653606 11245473 14160966 15980409 20123478 21241449 22490946 30185217 31960818 33736419 42482898 60370434 63724347 67472838 90555651 101209257 127448694 181111302 191173041 202418514 271666953 303627771 382346082 543333906 573519123 607255542 1147038246 1720557369 3441114738 5161672107 10323344214