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1225347353001 = 32235375784497
BaseRepresentation
bin10001110101001100011…
…001001100100110101001
311100010211120020001112100
4101311030121030212221
5130034002410244001
62334530010204013
7154346151435252
oct21651431144651
94303746201470
101225347353001
114327376aa612
12179592423609
138b71ba8b635
1443442a8db29
1521d1a122586
hex11d4c64c9a9

1225347353001 has 12 divisors (see below), whose sum is σ = 1770021681012. Its totient is φ = 816863387136.

The previous prime is 1225347352997. The next prime is 1225347353023. The reversal of 1225347353001 is 1003537435221.

1225347353001 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 347 + 3 + 5 + 300 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 870584168601 + 354763184400 = 933051^2 + 595620^2 .

It is not a de Polignac number, because 1225347353001 - 22 = 1225347352997 is a prime.

It is a super-2 number, since 2×12253473530012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1225347353701) 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 11 ways as a sum of consecutive naturals, for example, 2680416 + ... + 3104081.

It is an arithmetic number, because the mean of its divisors is an integer number (147501806751).

Almost surely, 21225347353001 is an apocalyptic number.

It is an amenable number.

1225347353001 is a deficient number, since it is larger than the sum of its proper divisors (544674328011).

1225347353001 is a wasteful number, since it uses less digits than its factorization.

1225347353001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808040 (or 5808037 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 1225347353001 in words is "one trillion, two hundred twenty-five billion, three hundred forty-seven million, three hundred fifty-three thousand, one".

Divisors: 1 3 9 23537 70611 211833 5784497 17353491 52060473 136149705889 408449117667 1225347353001