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11000303430 = 235439787911
BaseRepresentation
bin10100011111010101…
…10100111101000110
31001101122000022110120
422033222310331012
5140012034202210
65015314402410
7536412015324
oct121752647506
931348008416
1011000303430
114735425866
12216bb90406
1310640027ac
14764d4cd14
15445aee270
hex28fab4f46

11000303430 has 64 divisors (see below), whose sum is σ = 27293511168. Its totient is φ = 2835624960.

The previous prime is 11000303429. The next prime is 11000303453. The reversal of 11000303430 is 3430300011.

It is a super-3 number, since 3×110003034303 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 81175 + ... + 169085.

It is an arithmetic number, because the mean of its divisors is an integer number (426461112).

Almost surely, 211000303430 is an apocalyptic number.

11000303430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000303430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13646755584).

11000303430 is an abundant number, since it is smaller than the sum of its proper divisors (16293207738).

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

11000303430 is a wasteful number, since it uses less digits than its factorization.

11000303430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88061.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 11000303430 its reverse (3430300011), we get a palindrome (14430603441).

The spelling of 11000303430 in words is "eleven billion, three hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 97 129 194 215 258 291 430 485 582 645 970 1290 1455 2910 4171 8342 12513 20855 25026 41710 62565 87911 125130 175822 263733 439555 527466 879110 1318665 2637330 3780173 7560346 8527367 11340519 17054734 18900865 22681038 25582101 37801730 42636835 51164202 56702595 85273670 113405190 127910505 255821010 366676781 733353562 1100030343 1833383905 2200060686 3666767810 5500151715 11000303430