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110002323131120 = 24571694311593739
BaseRepresentation
bin11001000000101111101001…
…011001010000101011110000
3112102111010020000221001220102
4121000233221121100223300
5103404234224210143440
61025542211500331532
732112256054020560
oct3100575131205360
9472433200831812
10110002323131120
11320607a571aa72
121040722b543ba8
13494c236684c64
141d241d86b0da0
15cab62d652b15
hex640be9650af0

110002323131120 has 80 divisors (see below), whose sum is σ = 292309163873280. Its totient is φ = 37712852965632.

The previous prime is 110002323131117. The next prime is 110002323131131. The reversal of 110002323131120 is 21131323200011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1100023231311202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110002323131092 and 110002323131101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3691211 + ... + 15284949.

It is an arithmetic number, because the mean of its divisors is an integer number (3653864548416).

Almost surely, 2110002323131120 is an apocalyptic number.

110002323131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002323131120 is an abundant number, since it is smaller than the sum of its proper divisors (182306840742160).

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

110002323131120 is a wasteful number, since it uses less digits than its factorization.

110002323131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610702 (or 11610696 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 110002323131120 its reverse (21131323200011), we get a palindrome (131133646331131).

The spelling of 110002323131120 in words is "one hundred ten trillion, two billion, three hundred twenty-three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 16943 33886 67772 84715 118601 135544 169430 237202 271088 338860 474404 593005 677720 948808 1186010 1355440 1897616 2372020 4744040 9488080 11593739 23187478 46374956 57968695 81156173 92749912 115937390 162312346 185499824 231874780 324624692 405780865 463749560 649249384 811561730 927499120 1298498768 1623123460 3246246920 6492493840 196432719877 392865439754 785730879508 982163599385 1375029039139 1571461759016 1964327198770 2750058078278 3142923518032 3928654397540 5500116156556 6875145195695 7857308795080 11000232313112 13750290391390 15714617590160 22000464626224 27500580782780 55001161565560 110002323131120