Search a number
-
+
12202205432125 = 531726118130593
BaseRepresentation
bin1011000110010000110000…
…0111101100100100111101
31121012112000200021100102011
42301210030013230210331
53044410104042312000
641541341002131221
72366403011561542
oct261441407544475
947175020240364
1012202205432125
113984a20945885
121450a51ab0b11
136a68808c2a87
14302838952bc9
15162619cd62ba
hexb190c1ec93d

12202205432125 has 96 divisors (see below), whose sum is σ = 16533405356832. Its totient is φ = 8986705920000.

The previous prime is 12202205432101. The next prime is 12202205432147. The reversal of 12202205432125 is 52123450220221.

It can be written as a sum of positive squares in 48 ways, for example, as 9712036219396 + 2490169212729 = 3116414^2 + 1578027^2 .

It is not a de Polignac number, because 12202205432125 - 29 = 12202205431613 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398840829 + ... + 398871421.

It is an arithmetic number, because the mean of its divisors is an integer number (172222972467).

Almost surely, 212202205432125 is an apocalyptic number.

It is an amenable number.

12202205432125 is a deficient number, since it is larger than the sum of its proper divisors (4331199924707).

12202205432125 is a wasteful number, since it uses less digits than its factorization.

12202205432125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30884 (or 30857 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 12202205432125 its reverse (52123450220221), we get a palindrome (64325655652346).

The spelling of 12202205432125 in words is "twelve trillion, two hundred two billion, two hundred five million, four hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 5 17 25 61 85 125 181 289 305 425 905 1037 1445 1525 2125 3077 4525 5185 7225 7625 11041 15385 17629 22625 25925 30593 36125 52309 55205 76925 88145 129625 152965 187697 261545 276025 384625 440725 520081 764825 938485 1307725 1380125 1866173 2203625 2600405 3190849 3824125 4692425 5537333 6538625 8841377 9330865 13002025 15954245 23462125 27686665 31724941 44206885 46654325 65010125 79771225 94134661 138433325 158624705 221034425 233271625 337777313 398856125 470673305 539323997 692166625 793123525 1105172125 1600289237 1688886565 2353366525 2696619985 3965617625 5742214321 8001446185 8444432825 11766832625 13483099925 28711071605 40007230925 42222164125 67415499625 97617643457 143555358025 200036154625 488088217285 717776790125 2440441086425 12202205432125