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10047070210041 = 332368041237781
BaseRepresentation
bin1001001000110100010000…
…0011010000011111111001
31022120111020121010200012000
42102031010003100133321
52304102344433210131
633211321011011213
72054606523464334
oct222150403203771
938514217120160
1010047070210041
113223a36230557
121163233599b09
1357b585c27007
1426a3d06d161b
151265324b1ce6
hex923440d07f9

10047070210041 has 32 divisors (see below), whose sum is σ = 15531996330240. Its totient is φ = 6406706275200.

The previous prime is 10047070209907. The next prime is 10047070210057. The reversal of 10047070210041 is 14001207074001.

10047070210041 is a `hidden beast` number, since 100 + 470 + 70 + 21 + 0 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 10047070210041 - 218 = 10047069947897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10047070209987 and 10047070210014.

It is not an unprimeable number, because it can be changed into a prime (10047070210741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42134571 + ... + 42372351.

It is an arithmetic number, because the mean of its divisors is an integer number (485374885320).

Almost surely, 210047070210041 is an apocalyptic number.

It is an amenable number.

10047070210041 is a deficient number, since it is larger than the sum of its proper divisors (5484926120199).

10047070210041 is a wasteful number, since it uses less digits than its factorization.

10047070210041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305854 (or 305848 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 10047070210041 its reverse (14001207074001), we get a palindrome (24048277284042).

The spelling of 10047070210041 in words is "ten trillion, forty-seven billion, seventy million, two hundred ten thousand, forty-one".

Divisors: 1 3 9 23 27 69 207 621 68041 204123 237781 612369 713343 1564943 1837107 2140029 4694829 5468963 6420087 14084487 16406889 42253461 49220667 147662001 16178857021 48536571063 145609713189 372113711483 436829139567 1116341134449 3349023403347 10047070210041