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10044042434331 = 329181639799709
BaseRepresentation
bin1001001000101000111110…
…0101001101011100011011
31022120012102120211201201220
42102022033211031130123
52304030144330344311
633210100331143123
72054441510016033
oct222121745153433
938505376751656
1010044042434331
113222722119884
1211627295a4aa3
1357b1c2869059
1426a1c45388c3
15126406783206
hex9228f94d71b

10044042434331 has 32 divisors (see below), whose sum is σ = 13932709627200. Its totient is φ = 6428342269440.

The previous prime is 10044042434323. The next prime is 10044042434339. The reversal of 10044042434331 is 13343424044001.

10044042434331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10044042434323) and next prime (10044042434339).

It is not a de Polignac number, because 10044042434331 - 23 = 10044042434323 is a prime.

It is a super-2 number, since 2×100440424343312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10044042434292 and 10044042434301.

It is not an unprimeable number, because it can be changed into a prime (10044042434339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100683705 + ... + 100783413.

It is an arithmetic number, because the mean of its divisors is an integer number (435397175850).

Almost surely, 210044042434331 is an apocalyptic number.

10044042434331 is a deficient number, since it is larger than the sum of its proper divisors (3888667192869).

10044042434331 is a wasteful number, since it uses less digits than its factorization.

10044042434331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106319.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 10044042434331 its reverse (13343424044001), we get a palindrome (23387466478332).

The spelling of 10044042434331 in words is "ten trillion, forty-four billion, forty-two million, four hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 29 87 181 543 5249 6397 15747 19191 99709 185513 299127 556539 1157857 2891561 3473571 8674683 18047329 33577853 54141987 100733559 523372541 637838473 1570117623 1913515419 18497315717 55491947151 115448763613 346346290839 3348014144777 10044042434331