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11330244420 = 22351127163347
BaseRepresentation
bin10101000110101010…
…11100111101000100
31002020121212001102020
422203111130331010
5141201020310140
65112142243140
7550526326365
oct124325347504
932217761366
1011330244420
11489469a370
1222425864b0
1310b7484751
14796ab7b6c
15464a746d0
hex2a355cf44

11330244420 has 96 divisors (see below), whose sum is σ = 34737002496. Its totient is φ = 2736547200.

The previous prime is 11330244389. The next prime is 11330244449. The reversal of 11330244420 is 2444203311.

11330244420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113302444202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147187 + ... + 210533.

It is an arithmetic number, because the mean of its divisors is an integer number (361843776).

Almost surely, 211330244420 is an apocalyptic number.

11330244420 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 11330244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368501248).

11330244420 is an abundant number, since it is smaller than the sum of its proper divisors (23406758076).

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

11330244420 is a wasteful number, since it uses less digits than its factorization.

11330244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63641 (or 63639 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11330244420 its reverse (2444203311), we get a palindrome (13774447731).

The spelling of 11330244420 in words is "eleven billion, three hundred thirty million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 271 330 542 660 813 1084 1355 1626 2710 2981 3252 4065 5420 5962 8130 8943 11924 14905 16260 17886 29810 35772 44715 59620 63347 89430 126694 178860 190041 253388 316735 380082 633470 696817 760164 950205 1266940 1393634 1900410 2090451 2787268 3484085 3800820 4180902 6968170 8361804 10452255 13936340 17167037 20904510 34334074 41809020 51501111 68668148 85835185 103002222 171670370 188837407 206004444 257505555 343340740 377674814 515011110 566512221 755349628 944187035 1030022220 1133024442 1888374070 2266048884 2832561105 3776748140 5665122210 11330244420