Search a number
-
+
10432213313124 = 223291011187250049
BaseRepresentation
bin1001011111001111000001…
…0111100110011001100100
31100221022100212211111000110
42113303300113212121210
52331410133102004444
634104254224213020
72124462654032151
oct227636027463144
940838325744013
1010432213313124
1133623054a2349
1212059bb16a170
135a89a4571b95
14280cc9681228
15131574911cb9
hex97cf05e6664

10432213313124 has 96 divisors (see below), whose sum is σ = 25452049392000. Its totient is φ = 3321437593600.

The previous prime is 10432213313117. The next prime is 10432213313149. The reversal of 10432213313124 is 42131331223401.

It is a super-2 number, since 2×104322133131242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10432213313091 and 10432213313100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41595652 + ... + 41845700.

It is an arithmetic number, because the mean of its divisors is an integer number (265125514500).

Almost surely, 210432213313124 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 10432213313124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726024696000).

10432213313124 is an abundant number, since it is smaller than the sum of its proper divisors (15019836078876).

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

10432213313124 is a wasteful number, since it uses less digits than its factorization.

10432213313124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251373 (or 251371 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 10432213313124 its reverse (42131331223401), we get a palindrome (52563544536525).

The spelling of 10432213313124 in words is "ten trillion, four hundred thirty-two billion, two hundred thirteen million, three hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 606 1187 1212 2374 2929 3561 4748 5858 7122 8787 11716 14244 17574 34423 35148 68846 103269 119887 137692 206538 239774 250049 359661 413076 479548 500098 719322 750147 1000196 1438644 1500294 3000588 3476723 6953446 7251421 10430169 13906892 14502842 20860338 21754263 25254949 29005684 41720676 43508526 50509898 75764847 87017052 101019796 151529694 296808163 303059388 593616326 732393521 890424489 1187232652 1464787042 1780848978 2197180563 2929574084 3561697956 4394361126 8607436727 8788722252 17214873454 25822310181 29977624463 34429746908 51644620362 59955248926 89932873389 103289240724 119910497852 179865746778 359731493556 869351109427 1738702218854 2608053328281 3477404437708 5216106656562 10432213313124