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11122431144 = 2331147998779
BaseRepresentation
bin10100101101111001…
…01101010010101000
31001201010211001012020
422112330231102220
5140234320244034
65035400144440
7542424050646
oct122674552250
931633731166
1011122431144
114798360160
1221a4a68120
1310833c3006
14777260196
154516c5249
hex296f2d4a8

11122431144 has 64 divisors (see below), whose sum is σ = 30343680000. Its totient is φ = 3369347520.

The previous prime is 11122431143. The next prime is 11122431209. The reversal of 11122431144 is 44113422111.

It is a happy number.

11122431144 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 2×111224311442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11122431143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1262547 + ... + 1271325.

It is an arithmetic number, because the mean of its divisors is an integer number (474120000).

Almost surely, 211122431144 is an apocalyptic number.

It is an amenable number.

11122431144 is an abundant number, since it is smaller than the sum of its proper divisors (19221248856).

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

11122431144 is a wasteful number, since it uses less digits than its factorization.

11122431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598 (or 13594 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 11122431144 its reverse (44113422111), we get a palindrome (55235853255).

The spelling of 11122431144 in words is "eleven billion, one hundred twenty-two million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 4799 8779 9598 14397 17558 19196 26337 28794 35116 38392 52674 52789 57588 70232 96569 105348 105578 115176 158367 193138 210696 211156 289707 316734 386276 422312 579414 633468 772552 1158828 1266936 2317656 42130421 84260842 126391263 168521684 252782526 337043368 463434631 505565052 926869262 1011130104 1390303893 1853738524 2780607786 3707477048 5561215572 11122431144