Search a number
-
+
10422410304411 = 32717197269183637
BaseRepresentation
bin1001011110101010100000…
…0100000101101110011011
31100220101001200202001010200
42113222220010011232123
52331230044014220121
634055553355513243
72123665020603630
oct227525004055633
940811050661120
1010422410304411
1133591349a5856
121203b24158823
135a7aa1627401
1428063975a187
1513119deb6a26
hex97aa8105b9b

10422410304411 has 96 divisors (see below), whose sum is σ = 18377962162560. Its totient is φ = 5556114321408.

The previous prime is 10422410304311. The next prime is 10422410304433. The reversal of 10422410304411 is 11440301422401.

10422410304411 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 241 + 0 + 3 + 0 + 4 + 411 = 666.

It is not a de Polignac number, because 10422410304411 - 211 = 10422410302363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10422410304311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56663685 + ... + 56847321.

It is an arithmetic number, because the mean of its divisors is an integer number (191437105860).

Almost surely, 210422410304411 is an apocalyptic number.

10422410304411 is a deficient number, since it is larger than the sum of its proper divisors (7955551858149).

10422410304411 is a wasteful number, since it uses less digits than its factorization.

10422410304411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184133 (or 184130 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10422410304411 its reverse (11440301422401), we get a palindrome (21862711726812).

The spelling of 10422410304411 in words is "ten trillion, four hundred twenty-two billion, four hundred ten million, three hundred four thousand, four hundred eleven".

Divisors: 1 3 7 9 17 21 51 63 119 153 197 269 357 591 807 1071 1379 1773 1883 2421 3349 4137 4573 5649 10047 12411 13719 16947 23443 30141 32011 41157 52993 70329 96033 158979 183637 210987 288099 370951 476937 550911 900881 1112853 1285459 1652733 2702643 3121829 3338559 3856377 6306167 8107929 9365487 11569131 18918501 21852803 28096461 36176489 49398353 56755503 65558409 108529467 148195059 196675227 253235423 325588401 345788471 444585177 615000313 759706269 839772001 1037365413 1845000939 2279118807 2519316003 3112096239 4305002191 5535002817 5878404007 7557948009 9731475541 12915006573 17635212021 29194426623 38745019719 52905636063 68120328787 87583279869 165435084197 204360986361 496305252591 613082959083 1158045589379 1488915757773 3474136768137 10422410304411