Search a number
-
+
10211625065224 = 23112359711204409
BaseRepresentation
bin1001010010011001010001…
…0010001101101100001000
31100011012222201010102212001
42110212110102031230020
52314301402004041344
633415053352400344
72102523405616612
oct224462422155410
940135881112761
1010211625065224
1132877a9150840
12118b0b86a60b4
13590c4ba356cb
1427436110ddb2
1512a963c75ed4
hex9499448db08

10211625065224 has 128 divisors (see below), whose sum is σ = 22477181184000. Its totient is φ = 4303108902400.

The previous prime is 10211625065189. The next prime is 10211625065227. The reversal of 10211625065224 is 42256052611201.

It is a super-2 number, since 2×102116250652242 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211625065227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7876332 + ... + 9080740.

It is an arithmetic number, because the mean of its divisors is an integer number (175602978000).

Almost surely, 210211625065224 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 10211625065224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238590592000).

10211625065224 is an abundant number, since it is smaller than the sum of its proper divisors (12265556118776).

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

10211625065224 is a wasteful number, since it uses less digits than its factorization.

10211625065224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204579 (or 1204575 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Adding to 10211625065224 its reverse (42256052611201), we get a palindrome (52467677676425).

The spelling of 10211625065224 in words is "ten trillion, two hundred eleven billion, six hundred twenty-five million, sixty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 59 71 88 92 118 142 184 236 253 284 472 506 568 649 781 1012 1298 1357 1562 1633 2024 2596 2714 3124 3266 4189 5192 5428 6248 6532 8378 10856 13064 14927 16756 17963 29854 33512 35926 46079 59708 71852 92158 96347 119416 143704 184316 192694 368632 385388 770776 1059817 1204409 2119634 2408818 4239268 4817636 8478536 9635272 13248499 26496998 27701407 52993996 55402814 71060131 85513039 105987992 110805628 142120262 171026078 221611256 284240524 304715477 342052156 568481048 609430954 684104312 781661441 940643429 1218861908 1563322882 1634383013 1881286858 1966799897 2437723816 3126645764 3268766026 3762573716 3933599794 5045269301 6253291528 6537532052 7525147432 7867199588 10090538602 13075064104 15734399176 17978213143 20181077204 21634798867 35956426286 40362154408 43269597734 55497962311 71912852572 86539195468 110995924622 116041193923 143825705144 173078390936 221991849244 232082387846 443983698488 464164775692 928329551384 1276453133153 2552906266306 5105812532612 10211625065224