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10104011444129 = 732391042755541
BaseRepresentation
bin1001001100001000011000…
…0000110100111110100001
31022202221012221010001220212
42103002012000310332201
52311021003412203004
633253415131143505
72061663552132221
oct223020600647641
938687187101825
1010104011444129
1132460a605a4a9
121172284ba4b95
13583a5ba65635
1426d072c42081
15127c6641396e
hex93086034fa1

10104011444129 has 16 divisors (see below), whose sum is σ = 10286449493760. Its totient is φ = 9922772845440.

The previous prime is 10104011444071. The next prime is 10104011444207. The reversal of 10104011444129 is 92144411040101.

It is a cyclic number.

It is not a de Polignac number, because 10104011444129 - 240 = 9004499816353 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10104011444095 and 10104011444104.

It is not an unprimeable number, because it can be changed into a prime (104011444129) 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 15 ways as a sum of consecutive naturals, for example, 181892099 + ... + 181947639.

It is an arithmetic number, because the mean of its divisors is an integer number (642903093360).

Almost surely, 210104011444129 is an apocalyptic number.

It is an amenable number.

10104011444129 is a deficient number, since it is larger than the sum of its proper divisors (182438049631).

10104011444129 is a wasteful number, since it uses less digits than its factorization.

10104011444129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66280.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 10104011444129 in words is "ten trillion, one hundred four billion, eleven million, four hundred forty-four thousand, one hundred twenty-nine".

Divisors: 1 73 239 10427 17447 55541 761171 2492053 4054493 13274299 181919869 579126007 969023827 42276198511 138411115673 10104011444129