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11000212308 = 22321317723189
BaseRepresentation
bin10100011111010100…
…11110101101010100
31001101121211200110200
422033222132231110
5140012023243213
65015312420500
7536411155551
oct121752365524
931347750420
1011000212308
114735373358
12216bb47730
131063ca0187
14764d27a28
15445ad2273
hex28fa9eb54

11000212308 has 36 divisors (see below), whose sum is σ = 27809401620. Its totient is φ = 3666301056.

The previous prime is 11000212261. The next prime is 11000212309. The reversal of 11000212308 is 80321200011.

It can be written as a sum of positive squares in 2 ways, for example, as 6559056144 + 4441156164 = 80988^2 + 66642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000212309) 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, 462778 + ... + 485966.

Almost surely, 211000212308 is an apocalyptic number.

11000212308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11000212308 is an abundant number, since it is smaller than the sum of its proper divisors (16809189312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000212308 is a wasteful number, since it uses less digits than its factorization.

11000212308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36376 (or 36371 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11000212308 its reverse (80321200011), we get a palindrome (91321412319).

The spelling of 11000212308 in words is "eleven billion, two hundred twelve thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 13177 23189 26354 39531 46378 52708 69567 79062 92756 118593 139134 158124 208701 237186 278268 417402 474372 834804 305561453 611122906 916684359 1222245812 1833368718 2750053077 3666737436 5500106154 11000212308