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31111424124 = 223111719737027
BaseRepresentation
bin11100111110011000…
…101010100001111100
32222022012122002122120
4130332120222201330
51002204011032444
622143053442540
72150653512264
oct347630524174
988265562576
1031111424124
1112215651470
1260431a0450
132c1a715901
141711cbc7a4
15c214b9b19
hex73e62a87c

31111424124 has 96 divisors (see below), whose sum is σ = 83905549056. Its totient is φ = 8867374080.

The previous prime is 31111424089. The next prime is 31111424129. The reversal of 31111424124 is 42142411113.

It is a happy number.

It is a super-2 number, since 2×311114241242 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31111424094 and 31111424103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31111424129) by changing a digit.

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, 4423899 + ... + 4430925.

It is an arithmetic number, because the mean of its divisors is an integer number (874016136).

Almost surely, 231111424124 is an apocalyptic number.

31111424124 is a gapful number since it is divisible by the number (34) 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 31111424124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41952774528).

31111424124 is an abundant number, since it is smaller than the sum of its proper divisors (52794124932).

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

31111424124 is a wasteful number, since it uses less digits than its factorization.

31111424124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9035 (or 9033 counting only the distinct ones).

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

Adding to 31111424124 its reverse (42142411113), we get a palindrome (73253835237).

The spelling of 31111424124 in words is "thirty-one billion, one hundred eleven million, four hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1973 2244 3946 5919 7027 7892 11838 14054 21081 21703 23676 28108 33541 42162 43406 65109 67082 77297 84324 86812 100623 119459 130218 134164 154594 201246 231891 238918 260436 309188 358377 368951 402492 463782 477836 716754 737902 927564 1106853 1314049 1433508 1475804 2213706 2628098 3942147 4427412 5256196 7884294 13864271 15768588 27728542 41592813 55457084 83185626 152506981 166371252 235692607 305013962 457520943 471385214 610027924 707077821 915041886 942770428 1414155642 1830083772 2592618677 2828311284 5185237354 7777856031 10370474708 15555712062 31111424124