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11211323008 = 271935912841
BaseRepresentation
bin10100111000011111…
…10011011010000000
31001221100002012220111
422130033303122000
5140430044314013
65052253321104
7544553446624
oct123417633200
931840065814
1011211323008
114833554a06
12220a796194
131098947752
14784d9d184
154593d373d
hex29c3f3680

11211323008 has 64 divisors (see below), whose sum is σ = 23577912000. Its totient is φ = 5295421440.

The previous prime is 11211323003. The next prime is 11211323009. The reversal of 11211323008 is 80032311211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 11211323008.

It is not an unprimeable number, because it can be changed into a prime (11211323003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866668 + ... + 879508.

It is an arithmetic number, because the mean of its divisors is an integer number (368404875).

Almost surely, 211211323008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211323008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11788956000).

11211323008 is an abundant number, since it is smaller than the sum of its proper divisors (12366588992).

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

11211323008 is a wasteful number, since it uses less digits than its factorization.

11211323008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13233 (or 13221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 11211323008 its reverse (80032311211), we get a palindrome (91243634219).

The spelling of 11211323008 in words is "eleven billion, two hundred eleven million, three hundred twenty-three thousand, eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 359 608 718 1216 1436 2432 2872 5744 6821 11488 12841 13642 22976 25682 27284 45952 51364 54568 102728 109136 205456 218272 243979 410912 436544 487958 821824 873088 975916 1643648 1951832 3903664 4609919 7807328 9219838 15614656 18439676 31229312 36879352 73758704 87588461 147517408 175176922 295034816 350353844 590069632 700707688 1401415376 2802830752 5605661504 11211323008