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10632631052241 = 3311436191345009
BaseRepresentation
bin1001101010111001101000…
…1100100110011111010001
31101122110200100011111212000
42122232122030212133101
52343201112022132431
634340321400024213
72145116336512362
oct232563214463721
941573610144760
1010632631052241
11342a301045090
121238812762069
135c18642a3963
1428a89d023b69
151368a48a09e6
hex9ab9a3267d1

10632631052241 has 64 divisors (see below), whose sum is σ = 17612098944000. Its totient is φ = 6283984976640.

The previous prime is 10632631052227. The next prime is 10632631052339. The reversal of 10632631052241 is 14225013623601.

10632631052241 is a `hidden beast` number, since 1 + 0 + 6 + 32 + 63 + 1 + 0 + 522 + 41 = 666.

It is not a de Polignac number, because 10632631052241 - 214 = 10632631035857 is a prime.

It is a super-2 number, since 2×106326310522412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10632631052196 and 10632631052205.

It is not an unprimeable number, because it can be changed into a prime (10632631052201) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7232745 + ... + 8577753.

It is an arithmetic number, because the mean of its divisors is an integer number (275189046000).

Almost surely, 210632631052241 is an apocalyptic number.

10632631052241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10632631052241 is a deficient number, since it is larger than the sum of its proper divisors (6979467891759).

10632631052241 is a wasteful number, since it uses less digits than its factorization.

10632631052241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345691 (or 1345685 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10632631052241 its reverse (14225013623601), we get a palindrome (24857644675842).

The spelling of 10632631052241 in words is "ten trillion, six hundred thirty-two billion, six hundred thirty-one million, fifty-two thousand, two hundred forty-one".

Divisors: 1 3 9 11 27 33 43 99 129 297 387 473 619 1161 1419 1857 4257 5571 6809 12771 16713 20427 26617 61281 79851 183843 239553 292787 718659 878361 1345009 2635083 4035027 7905249 12105081 14795099 36315243 44385297 57835387 133155891 173506161 399467673 520518483 636189257 832560571 1561555449 1908567771 2497681713 5725703313 7493045139 9158166281 17177109939 22479135417 27474498843 35800104553 82423496529 107400313659 247270489587 322200940977 393801150083 966602822931 1181403450249 3544210350747 10632631052241