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10152453441 = 31331012151
BaseRepresentation
bin10010111010010001…
…00010010101000001
3222012112122001221010
421131020202111001
5131243012002231
64355230151133
7506405300424
oct113510422501
928175561833
1010152453441
11433a882599
121b740524a9
13c5a468000
146c44c99bb
153e6474546
hex25d222541

10152453441 has 48 divisors (see below), whose sum is σ = 14908853120. Its totient is φ = 6144840000.

The previous prime is 10152453433. The next prime is 10152453457. The reversal of 10152453441 is 14435425101.

It is not a de Polignac number, because 10152453441 - 23 = 10152453433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10152453399 and 10152453408.

It is not an unprimeable number, because it can be changed into a prime (10152453401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67234716 + ... + 67234866.

Almost surely, 210152453441 is an apocalyptic number.

It is an amenable number.

10152453441 is a deficient number, since it is larger than the sum of its proper divisors (4756399679).

10152453441 is an equidigital number, since it uses as much as digits as its factorization.

10152453441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 10152453441 its reverse (14435425101), we get a palindrome (24587878542).

The spelling of 10152453441 in words is "ten billion, one hundred fifty-two million, four hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 13 39 101 151 169 303 453 507 1313 1963 2197 3939 5889 6591 10201 15251 17069 25519 30603 45753 51207 76557 132613 198263 221897 331747 397839 594789 665691 995241 1540351 1723969 2577419 4621053 5171907 7732257 20024563 22411597 33506447 60073689 67234791 100519341 260319319 780957957 3384151147 10152453441