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11004040201 = 721121855969
BaseRepresentation
bin10100011111110010…
…00101010000001001
31001101220001011100111
422033321011100021
5140014013241301
65015530434321
7536455540600
oct121771052011
931356034314
1011004040201
114737548300
1221712929a1
131064a105bb
14765642a37
154460db551
hex28fe45409

11004040201 has 18 divisors (see below), whose sum is σ = 14070108570. Its totient is φ = 8574572160.

The previous prime is 11004040183. The next prime is 11004040249. The reversal of 11004040201 is 10204040011.

It can be written as a sum of positive squares in only one way, i.e., 10330689600 + 673350601 = 101640^2 + 25949^2 .

It is not a de Polignac number, because 11004040201 - 215 = 11004007433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11004040261) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 922056 + ... + 933913.

Almost surely, 211004040201 is an apocalyptic number.

11004040201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11004040201 is a deficient number, since it is larger than the sum of its proper divisors (3066068369).

11004040201 is a wasteful number, since it uses less digits than its factorization.

11004040201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856005 (or 1855987 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11004040201 its reverse (10204040011), we get a palindrome (21208080212).

The spelling of 11004040201 in words is "eleven billion, four million, forty thousand, two hundred one".

Divisors: 1 7 11 49 77 121 539 847 5929 1855969 12991783 20415659 90942481 142909613 224572249 1000367291 1572005743 11004040201