Search a number
-
+
110131133102232 = 233116113949199597
BaseRepresentation
bin11001000010100111100111…
…000100010011100010011000
3112102221102201000121120210020
4121002213213010103202120
5103413342030033232412
61030121313305150440
732124466100506134
oct3102474704234230
9472842630546706
10110131133102232
1132100395583850
121042819978b420
13495b423b46988
141d2a537ac43c4
15caeb6bc9a18c
hex6429e7113898

110131133102232 has 128 divisors (see below), whose sum is σ = 307477807660800. Its totient is φ = 32589812390400.

The previous prime is 110131133102143. The next prime is 110131133102311. The reversal of 110131133102232 is 232201331131011.

110131133102232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 22361343 + ... + 26838254.

It is an arithmetic number, because the mean of its divisors is an integer number (2402170372350).

Almost surely, 2110131133102232 is an apocalyptic number.

110131133102232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110131133102232 is an abundant number, since it is smaller than the sum of its proper divisors (197346674558568).

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

110131133102232 is a wasteful number, since it uses less digits than its factorization.

110131133102232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49199817 (or 49199813 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 110131133102232 its reverse (232201331131011), we get a palindrome (342332464233243).

The spelling of 110131133102232 in words is "one hundred ten trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 139 183 244 264 278 366 417 488 556 671 732 834 1112 1342 1464 1529 1668 2013 2684 3058 3336 4026 4587 5368 6116 8052 8479 9174 12232 16104 16958 18348 25437 33916 36696 50874 67832 93269 101748 186538 203496 279807 373076 559614 746152 1119228 2238456 49199597 98399194 147598791 196798388 295197582 393596776 541195567 590395164 1082391134 1180790328 1623586701 2164782268 3001175417 3247173402 4329564536 6002350834 6494346804 6838743983 9003526251 12004701668 12988693608 13677487966 18007052502 20516231949 24009403336 27354975932 33012929587 36014105004 41032463898 54709951864 66025859174 72028210008 75226183813 82064927796 99038788761 132051718348 150452367626 164129855592 198077577522 225678551439 264103436696 300904735252 396155155044 417163382963 451357102878 601809470504 792310310088 834326765926 902714205756 1251490148889 1668653531852 1805428411512 2502980297778 3337307063704 4588797212593 5005960595556 9177594425186 10011921191112 13766391637779 18355188850372 27532783275558 36710377700744 55065566551116 110131133102232