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112200111330 = 235233112234289
BaseRepresentation
bin110100001111110100…
…1011101010011100010
3101201121102022012201220
41220133221131103202
53314241212030310
6123313301435510
711051265132126
oct1503751352342
9351542265656
10112200111330
114364704633a
12198b370bb96
13a77126a128
14560548d586
152dba337670
hex1a1fa5d4e2

112200111330 has 128 divisors (see below), whose sum is σ = 290357084160. Its totient is φ = 27666862080.

The previous prime is 112200111301. The next prime is 112200111337. The reversal of 112200111330 is 33111002211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112200111337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26157826 + ... + 26162114.

It is an arithmetic number, because the mean of its divisors is an integer number (2268414720).

Almost surely, 2112200111330 is an apocalyptic number.

112200111330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200111330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145178542080).

112200111330 is an abundant number, since it is smaller than the sum of its proper divisors (178156972830).

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

112200111330 is a wasteful number, since it uses less digits than its factorization.

112200111330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5576.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112200111330 its reverse (33111002211), we get a palindrome (145311113541).

The spelling of 112200111330 in words is "one hundred twelve billion, two hundred million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 465 690 713 930 1223 1426 2139 2446 3565 3669 4278 4289 6115 7130 7338 8578 10695 12230 12867 18345 21390 21445 25734 28129 36690 37913 42890 56258 64335 75826 84387 98647 113739 128670 132959 140645 168774 189565 197294 227478 265918 281290 295941 379130 398877 421935 493235 568695 591882 664795 797754 843870 871999 986470 1137390 1329590 1479705 1743998 1994385 2615997 2959410 3058057 3988770 4359995 5231994 5245447 6116114 8719990 9174171 10490894 13079985 15290285 15736341 18348342 26159970 26227235 30580570 31472682 45870855 52454470 78681705 91741710 120645281 157363410 162608857 241290562 325217714 361935843 487826571 603226405 723871686 813044285 975653142 1206452810 1626088570 1809679215 2439132855 3619358430 3740003711 4878265710 7480007422 11220011133 18700018555 22440022266 37400037110 56100055665 112200111330