Search a number
-
+
111013313223312 = 243567426161297
BaseRepresentation
bin11001001111011101001101…
…000110011001101010010000
3112120001202202200011000200000
4121033131031012121222100
5104022320231141121222
61032034451222530000
732245306251015663
oct3117351506315220
9476052680130600
10111013313223312
1132410533226885
121054b159b96900
1349c36837b9516
141d5b1045696da
15cc7a9eb4c9ac
hex64f74d199a90

111013313223312 has 120 divisors (see below), whose sum is σ = 326998677890976. Its totient is φ = 36452132614656.

The previous prime is 111013313223251. The next prime is 111013313223343. The reversal of 111013313223312 is 213322313310111.

111013313223312 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 1 + 3 + 3 + 1 + 322 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212820153 + ... + 213341144.

Almost surely, 2111013313223312 is an apocalyptic number.

111013313223312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111013313223312 is an abundant number, since it is smaller than the sum of its proper divisors (215985364667664).

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

111013313223312 is an equidigital number, since it uses as much as digits as its factorization.

111013313223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426161387 (or 426161369 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 111013313223312 its reverse (213322313310111), we get a palindrome (324335626533423).

The spelling of 111013313223312 in words is "one hundred eleven trillion, thirteen billion, three hundred thirteen million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 243 268 324 402 432 486 536 603 648 804 972 1072 1206 1296 1608 1809 1944 2412 3216 3618 3888 4824 5427 7236 9648 10854 14472 16281 21708 28944 32562 43416 65124 86832 130248 260496 426161297 852322594 1278483891 1704645188 2556967782 3409290376 3835451673 5113935564 6818580752 7670903346 10227871128 11506355019 15341806692 20455742256 23012710038 28552806899 30683613384 34519065057 46025420076 57105613798 61367226768 69038130114 85658420697 92050840152 103557195171 114211227596 138076260228 171316841394 184101680304 207114390342 228422455192 256975262091 276152520456 342633682788 414228780684 456844910384 513950524182 552305040912 685267365576 770925786273 828457561368 1027901048364 1370534731152 1541851572546 1656915122736 2055802096728 2312777358819 3083703145092 4111604193456 4625554717638 6167406290184 6938332076457 9251109435276 12334812580368 13876664152914 18502218870552 27753328305828 37004437741104 55506656611656 111013313223312