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10303224232041 = 341341238649717
BaseRepresentation
bin1001010111101110100000…
…0001010011100001101001
31100110222102102010020110000
42111323220001103201221
52322302000400411131
633525122540413213
72112245333653236
oct225735001234151
940428372106400
1010303224232041
1133126335245a4
1211a4a00b47209
13599788c5b430
1427897056678d
1512d0256d9ce6
hex95ee8053869

10303224232041 has 40 divisors (see below), whose sum is σ = 16979450136264. Its totient is φ = 6185800638720.

The previous prime is 10303224231953. The next prime is 10303224232051. The reversal of 10303224232041 is 14023242230301.

10303224232041 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 32 + 2 + 423 + 204 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129963134016 + 10173261098025 = 360504^2 + 3189555^2 .

It is not a de Polignac number, because 10303224232041 - 213 = 10303224223849 is a prime.

It is a super-2 number, since 2×103032242320412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10303224231996 and 10303224232014.

It is not an unprimeable number, because it can be changed into a prime (10303224232051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119281686 + ... + 119368031.

Almost surely, 210303224232041 is an apocalyptic number.

It is an amenable number.

10303224232041 is a deficient number, since it is larger than the sum of its proper divisors (6676225904223).

10303224232041 is a wasteful number, since it uses less digits than its factorization.

10303224232041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238649783 (or 238649774 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10303224232041 its reverse (14023242230301), we get a palindrome (24326466462342).

The spelling of 10303224232041 in words is "ten trillion, three hundred three billion, two hundred twenty-four million, two hundred thirty-two thousand, forty-one".

Divisors: 1 3 9 13 27 39 41 81 117 123 351 369 533 1053 1107 1599 3321 4797 14391 43173 238649717 715949151 2147847453 3102446321 6443542359 9307338963 9784638397 19330627077 27922016889 29353915191 83766050667 88061745573 127200299161 251298152001 264185236719 381600897483 792555710157 1144802692449 3434408077347 10303224232041