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11220001001 = 1124110920749
BaseRepresentation
bin10100111001100001…
…11010000011101001
31001221221102002212122
422130300322003221
5140434310013001
65053203321025
7545020302116
oct123460720351
931857362778
1011220001001
114838441900
122211680175
13109a695661
147861bb90d
1545a049b1b
hex29cc3a0e9

11220001001 has 24 divisors (see below), whose sum is σ = 12750045000. Its totient is φ = 9859449600.

The previous prime is 11220000937. The next prime is 11220001007. The reversal of 11220001001 is 10010002211.

It can be written as a sum of positive squares in 4 ways, for example, as 105781225 + 11114219776 = 10285^2 + 105424^2 .

It is not a de Polignac number, because 11220001001 - 26 = 11220000937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11220001001.

It is not an unprimeable number, because it can be changed into a prime (11220001007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530375 + ... + 551123.

It is an arithmetic number, because the mean of its divisors is an integer number (531251875).

Almost surely, 211220001001 is an apocalyptic number.

11220001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11220001001 is a deficient number, since it is larger than the sum of its proper divisors (1530043999).

11220001001 is a wasteful number, since it uses less digits than its factorization.

11220001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20921 (or 20910 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11220001001 its reverse (10010002211), we get a palindrome (21230003212).

The spelling of 11220001001 in words is "eleven billion, two hundred twenty million, one thousand, one".

Divisors: 1 11 41 109 121 451 1199 4469 4961 13189 20749 49159 228239 540749 850709 2261641 2510629 9357799 24878051 92727281 102935789 273658561 1020000091 11220001001