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11231212664 = 2371931133941
BaseRepresentation
bin10100111010110111…
…01011010001111000
31001222201111201101102
422131123223101320
5141000142301124
65054243510532
7545214506150
oct123533532170
931881451342
1011231212664
1148437aa341
122215388448
13109cabc889
14787899760
1545b011aae
hex29d6eb478

11231212664 has 64 divisors (see below), whose sum is σ = 25415769600. Its totient is φ = 4545244800.

The previous prime is 11231212661. The next prime is 11231212703. The reversal of 11231212664 is 46621213211.

It is a super-2 number, since 2×112312126642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231212661) 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 15 ways as a sum of consecutive naturals, for example, 313934 + ... + 347874.

It is an arithmetic number, because the mean of its divisors is an integer number (397121400).

Almost surely, 211231212664 is an apocalyptic number.

11231212664 is a gapful number since it is divisible by the number (14) 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 11231212664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12707884800).

11231212664 is an abundant number, since it is smaller than the sum of its proper divisors (14184556936).

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

11231212664 is a wasteful number, since it uses less digits than its factorization.

11231212664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34284 (or 34280 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

Adding to 11231212664 its reverse (46621213211), we get a palindrome (57852425875).

The spelling of 11231212664 in words is "eleven billion, two hundred thirty-one million, two hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 311 532 622 1064 1244 2177 2488 4354 5909 8708 11818 17416 23636 33941 41363 47272 67882 82726 135764 165452 237587 271528 330904 475174 644879 950348 1289758 1900696 2579516 4514153 5159032 9028306 10555651 18056612 21111302 36113224 42222604 73889557 84445208 147779114 200557369 295558228 401114738 591116456 802229476 1403901583 1604458952 2807803166 5615606332 11231212664