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1002201010209 = 32723601763097
BaseRepresentation
bin11101001010101111101…
…01011101000000100001
310112210212010000022212200
432211113311131000201
5112410001424311314
62044223233443413
7132256322013300
oct16452765350041
93483763008780
101002201010209
113570383854a3
12142297110569
1373679291c49
14367148a8437
151b109ad2709
hexe957d5d021

1002201010209 has 36 divisors (see below), whose sum is σ = 1684043849124. Its totient is φ = 572661315072.

The previous prime is 1002201010189. The next prime is 1002201010249. The reversal of 1002201010209 is 9020101022001.

1002201010209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 180712560609 + 821488449600 = 425103^2 + 906360^2 .

It is not a de Polignac number, because 1002201010209 - 219 = 1002200485921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002201010191 and 1002201010200.

It is not an unprimeable number, because it can be changed into a prime (1002201010249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15851949 + ... + 15915045.

It is an arithmetic number, because the mean of its divisors is an integer number (46778995809).

Almost surely, 21002201010209 is an apocalyptic number.

It is an amenable number.

1002201010209 is a deficient number, since it is larger than the sum of its proper divisors (681842838915).

1002201010209 is a wasteful number, since it uses less digits than its factorization.

1002201010209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99134 (or 99124 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 1002201010209 in words is "one trillion, two billion, two hundred one million, ten thousand, two hundred nine".

Divisors: 1 3 7 9 21 49 63 147 441 36017 63097 108051 189291 252119 324153 441679 567873 756357 1325037 1764833 2269071 3091753 3975111 5294499 9275259 15883497 27825777 2272564649 6817693947 15907952543 20453081841 47723857629 111355667801 143171572887 334067003403 1002201010209