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11004219801 = 327324792
BaseRepresentation
bin10100011111110011…
…10001000110011001
31001101220101021201100
422033321301012121
5140014040013201
65015534342013
7536460216321
oct121771610631
931356337640
1011004219801
114737660233
12217135a909
131064a74283
1476568c281
15446124886
hex28fe71199

11004219801 has 27 divisors (see below), whose sum is σ = 16149421119. Its totient is φ = 7220545632.

The previous prime is 11004219757. The next prime is 11004219869. The reversal of 11004219801 is 10891240011.

The square root of 11004219801 is 104901.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6246531225 + 4757688576 = 79035^2 + 68976^2 .

It is not a de Polignac number, because 11004219801 - 229 = 10467348889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11004219001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22973080 + ... + 22973558.

Almost surely, 211004219801 is an apocalyptic number.

11004219801 is the 104901-st square number.

11004219801 is the 52451-st centered octagonal number.

It is an amenable number.

11004219801 is a deficient number, since it is larger than the sum of its proper divisors (5145201318).

11004219801 is an frugal number, since it uses more digits than its factorization.

11004219801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Multiplying 11004219801 by its product of nonzero digits (576), we get a square (6338430605376 = 25176242).

Adding to 11004219801 its reverse (10891240011), we get a palindrome (21895459812).

The spelling of 11004219801 in words is "eleven billion, four million, two hundred nineteen thousand, eight hundred one".

Divisors: 1 3 9 73 219 479 657 1437 4311 5329 15987 34967 47961 104901 229441 314703 688323 2064969 2552591 7657773 16749193 22973319 50247579 150742737 1222691089 3668073267 11004219801