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11273210388 = 22321123122693
BaseRepresentation
bin10100111111110111…
…11000101000010100
31002002122112102102200
422133323320220110
5141041420213023
65102344004500
7546234464406
oct123773705024
932078472380
1011273210388
114865484900
122227460730
1310a87057bb
1478d2acb76
1545ea5a743
hex29fef8a14

11273210388 has 162 divisors, whose sum is σ = 32377243626. Its totient is φ = 3304699200.

The previous prime is 11273210383. The next prime is 11273210393. The reversal of 11273210388 is 88301237211.

11273210388 is a `hidden beast` number, since 1 + 1 + 273 + 2 + 1 + 0 + 388 = 666.

It is an interprime number because it is at equal distance from previous prime (11273210383) and next prime (11273210393).

It can be written as a sum of positive squares in only one way, i.e., 9247130244 + 2026080144 = 96162^2 + 45012^2 .

It is a super-2 number, since 2×112732103882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11273210383) 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 53 ways as a sum of consecutive naturals, for example, 4184770 + ... + 4187462.

Almost surely, 211273210388 is an apocalyptic number.

11273210388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11273210388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188621813).

11273210388 is an abundant number, since it is smaller than the sum of its proper divisors (21104033238).

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

11273210388 is a wasteful number, since it uses less digits than its factorization.

11273210388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 11273210388 its reverse (88301237211), we get a palindrome (99574447599).

The spelling of 11273210388 in words is "eleven billion, two hundred seventy-three million, two hundred ten thousand, three hundred eighty-eight".