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11011200320 = 265237871901
BaseRepresentation
bin10100100000101000…
…11001010101000000
31001102101111221012002
422100110121111000
5140022331402240
65020344123132
7536603441561
oct122024312500
931371457162
1011011200320
11474059885a
1221737664a8
131066349663
14766588168
15446a52d15
hex290519540

11011200320 has 112 divisors (see below), whose sum is σ = 27409615488. Its totient is φ = 4205414400.

The previous prime is 11011200293. The next prime is 11011200323. The reversal of 11011200320 is 2300211011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011200323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5791370 + ... + 5793270.

Almost surely, 211011200320 is an apocalyptic number.

11011200320 is a gapful number since it is divisible by the number (10) 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 11011200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704807744).

11011200320 is an abundant number, since it is smaller than the sum of its proper divisors (16398415168).

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

11011200320 is a wasteful number, since it uses less digits than its factorization.

11011200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11011200320 its reverse (2300211011), we get a palindrome (13311411331).

The spelling of 11011200320 in words is "eleven billion, eleven million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 787 920 1472 1574 1840 1901 3148 3680 3802 3935 6296 7360 7604 7870 9505 12592 15208 15740 18101 19010 25184 30416 31480 36202 38020 43723 50368 60832 62960 72404 76040 87446 90505 121664 125920 144808 152080 174892 181010 218615 251840 289616 304160 349784 362020 437230 579232 608320 699568 724040 874460 1158464 1399136 1448080 1496087 1748920 2798272 2896160 2992174 3497840 5792320 5984348 6995680 7480435 11968696 13991360 14960870 23937392 29921740 34410001 47874784 59843480 68820002 95749568 119686960 137640004 172050005 239373920 275280008 344100010 478747840 550560016 688200020 1101120032 1376400040 2202240064 2752800080 5505600160 11011200320