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10141104201225 = 352892213686519
BaseRepresentation
bin1001001110010010100011…
…1010011101111000001001
31022220110221222200100220020
42103210220322131320021
52312122440133414400
633322431533451053
72064446005305204
oct223445072357011
938813858610806
1010141104201225
11325a8aaa41958
1211794b7340a89
135873c070c50a
14270b9127093b
15128bd7a7a2a0
hex93928e9de09

10141104201225 has 48 divisors (see below), whose sum is σ = 16962700924800. Its totient is φ = 5345393912320.

The previous prime is 10141104201143. The next prime is 10141104201227. The reversal of 10141104201225 is 52210240114101.

It is not a de Polignac number, because 10141104201225 - 221 = 10141102104073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10141104201195 and 10141104201204.

It is not an unprimeable number, because it can be changed into a prime (10141104201227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14428516 + ... + 15115034.

It is an arithmetic number, because the mean of its divisors is an integer number (353389602600).

Almost surely, 210141104201225 is an apocalyptic number.

10141104201225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10141104201225 is a deficient number, since it is larger than the sum of its proper divisors (6821596723575).

10141104201225 is a wasteful number, since it uses less digits than its factorization.

10141104201225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688834 (or 688829 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 10141104201225 its reverse (52210240114101), we get a palindrome (62351344315326).

The spelling of 10141104201225 in words is "ten trillion, one hundred forty-one billion, one hundred four million, two hundred one thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 89 267 445 1335 2213 2225 6639 6675 11065 33195 55325 165975 196957 590871 686519 984785 2059557 2954355 3432595 4923925 10297785 14771775 17162975 51488925 61100191 183300573 305500955 916502865 1519266547 1527504775 4557799641 4582514325 7596332735 22788998205 37981663675 113944991025 135214722683 405644168049 676073613415 2028220840245 3380368067075 10141104201225