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11010330320 = 2451197128987
BaseRepresentation
bin10100100000100010…
…00100111011010000
31001102022212201202212
422100101010323100
5140022121032240
65020313331252
7536563156253
oct122021047320
931368781685
1011010330320
114740054150
122173406b28
131066103672
147663dd09a
15446930165
hex290444ed0

11010330320 has 80 divisors (see below), whose sum is σ = 28214319168. Its totient is φ = 3962449920.

The previous prime is 11010330319. The next prime is 11010330323. The reversal of 11010330320 is 2303301011.

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

It is a super-2 number, since 2×110103303202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11010330295 and 11010330304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010330323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20867 + ... + 149853.

Almost surely, 211010330320 is an apocalyptic number.

11010330320 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 11010330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107159584).

11010330320 is an abundant number, since it is smaller than the sum of its proper divisors (17203988848).

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

11010330320 is a wasteful number, since it uses less digits than its factorization.

11010330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129108 (or 129102 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 11010330320 its reverse (2303301011), we get a palindrome (13313631331).

The spelling of 11010330320 in words is "eleven billion, ten million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 176 194 220 388 440 485 776 880 970 1067 1552 1940 2134 3880 4268 5335 7760 8536 10670 17072 21340 42680 85360 128987 257974 515948 644935 1031896 1289870 1418857 2063792 2579740 2837714 5159480 5675428 7094285 10318960 11350856 12511739 14188570 22701712 25023478 28377140 50046956 56754280 62558695 100093912 113508560 125117390 137629129 200187824 250234780 275258258 500469560 550516516 688145645 1000939120 1101033032 1376291290 2202066064 2752582580 5505165160 11010330320