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10025000101441 = 13113163239283619
BaseRepresentation
bin1001000111100010000010…
…0100011110011001000001
31022111101021111022222210101
42101320200210132121001
52303222200011221231
633153231012002401
72053165563610363
oct221704044363101
938441244288711
1010025000101441
11321564022a286
12115aab4300401
135794796c8c60
142692d9500d33
15125b8eb35661
hex91e2091e641

10025000101441 has 64 divisors (see below), whose sum is σ = 11061092044800. Its totient is φ = 9030854052864.

The previous prime is 10025000101439. The next prime is 10025000101469. The reversal of 10025000101441 is 14410100052001.

It is a cyclic number.

It is not a de Polignac number, because 10025000101441 - 21 = 10025000101439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10025000101541) 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 63 ways as a sum of consecutive naturals, for example, 16195476430 + ... + 16195477048.

It is an arithmetic number, because the mean of its divisors is an integer number (172829563200).

Almost surely, 210025000101441 is an apocalyptic number.

It is an amenable number.

10025000101441 is a deficient number, since it is larger than the sum of its proper divisors (1036091943359).

10025000101441 is a wasteful number, since it uses less digits than its factorization.

10025000101441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430.

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 10025000101441 its reverse (14410100052001), we get a palindrome (24435100153442).

The spelling of 10025000101441 in words is "ten trillion, twenty-five billion, one hundred one thousand, four hundred forty-one".

Divisors: 1 13 113 163 239 283 619 1469 2119 3107 3679 8047 18419 27007 31979 38957 46129 67637 69947 100897 147941 175177 239447 351091 415727 506441 599677 879281 909311 1311661 1923233 2277301 4402141 5212577 7642981 11024831 11401361 16717333 19795001 24114383 28553851 41867303 57227833 67763501 99358753 143322803 148217693 217325329 257335013 313486979 371200063 544274939 1245805903 2724925279 3226585163 4731005239 6824370389 16195476739 35424028627 41945607119 61503068107 88716815057 771153853957 10025000101441