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11011334320 = 2457148313259
BaseRepresentation
bin10100100000101001…
…11010000010110000
31001102101202202000001
422100110322002300
5140022400144240
65020351035344
7536604540340
oct122024720260
931371682001
1011011334320
11474067a4a8
12217380bb54
13106639564c
147665c0d20
15446a7c89a
hex29053a0b0

11011334320 has 80 divisors (see below), whose sum is σ = 29280625920. Its totient is φ = 3772484352.

The previous prime is 11011334293. The next prime is 11011334351. The reversal of 11011334320 is 2343311011.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823851 + ... + 837109.

It is an arithmetic number, because the mean of its divisors is an integer number (366007824).

Almost surely, 211011334320 is an apocalyptic number.

11011334320 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 11011334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14640312960).

11011334320 is an abundant number, since it is smaller than the sum of its proper divisors (18269291600).

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

11011334320 is a wasteful number, since it uses less digits than its factorization.

11011334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762 (or 14756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11011334320 its reverse (2343311011), we get a palindrome (13354645331).

The spelling of 11011334320 in words is "eleven billion, eleven million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1483 2966 5932 7415 10381 11864 13259 14830 20762 23728 26518 29660 41524 51905 53036 59320 66295 83048 92813 103810 106072 118640 132590 166096 185626 207620 212144 265180 371252 415240 464065 530360 742504 830480 928130 1060720 1485008 1856260 3712520 7425040 19663097 39326194 78652388 98315485 137641679 157304776 196630970 275283358 314609552 393261940 550566716 688208395 786523880 1101133432 1376416790 1573047760 2202266864 2752833580 5505667160 11011334320