Search a number
-
+
11023123300314 = 23139809148710987
BaseRepresentation
bin1010000001101000010101…
…0110010011111111011010
31110000210121102020001010120
42200122011112103333122
52421100324031102224
635235541500054110
72215252162041126
oct240320526237732
943023542201116
1011023123300314
11356a975804764
1212a0431834336
1361c625bc4388
142a174459c586
15141b0b722779
hexa0685593fda

11023123300314 has 64 divisors (see below), whose sum is σ = 22249275955200. Its totient is φ = 3640649309568.

The previous prime is 11023123300249. The next prime is 11023123300333. The reversal of 11023123300314 is 41300332132011.

11023123300314 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 2×110231233003142 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003282329 + ... + 1003293315.

It is an arithmetic number, because the mean of its divisors is an integer number (347644936800).

Almost surely, 211023123300314 is an apocalyptic number.

11023123300314 is an abundant number, since it is smaller than the sum of its proper divisors (11226152654886).

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

11023123300314 is a wasteful number, since it uses less digits than its factorization.

11023123300314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13427.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11023123300314 its reverse (41300332132011), we get a palindrome (52323455432325).

The spelling of 11023123300314 in words is "eleven trillion, twenty-three billion, one hundred twenty-three million, three hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 139 278 417 809 834 1487 1618 2427 2974 4461 4854 8922 10987 21974 32961 65922 112451 206693 224902 337353 413386 620079 674706 1202983 1240158 1527193 2405966 3054386 3608949 4581579 7217898 8888483 9163158 16337669 17776966 26665449 32675338 49013007 53330898 98026014 167214637 334429274 501643911 1003287822 1235499137 2270935991 2470998274 3706497411 4541871982 6812807973 7412994822 13217174221 13625615946 26434348442 39651522663 79303045326 1837187216719 3674374433438 5511561650157 11023123300314