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110000110001112 = 233237165379249677
BaseRepresentation
bin11001000000101101100101…
…011110110101101111011000
3112102110220111210112102021100
4121000231211132311233120
5103404220211130013422
61025541204121311400
732112150161514522
oct3100554536655730
9472426453472240
10110000110001112
113205a86a442701
1210406912335560
13494bc73007186
141d240687b6a12
15cab54e1e07ac
hex640b657b5bd8

110000110001112 has 96 divisors (see below), whose sum is σ = 305971850012400. Its totient is φ = 35675352744192.

The previous prime is 110000110001101. The next prime is 110000110001123. The reversal of 110000110001112 is 211100011000011.

It is an interprime number because it is at equal distance from previous prime (110000110001101) and next prime (110000110001123).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110000110001094 and 110000110001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440444818 + ... + 440694494.

Almost surely, 2110000110001112 is an apocalyptic number.

110000110001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110000110001112 is an abundant number, since it is smaller than the sum of its proper divisors (195971740011288).

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

110000110001112 is a wasteful number, since it uses less digits than its factorization.

110000110001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415105 (or 415098 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110000110001112 its reverse (211100011000011), we get a palindrome (321100121001123).

The spelling of 110000110001112 in words is "one hundred ten trillion, one hundred ten million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 165379 249677 330758 496137 499354 661516 749031 992274 998708 1323032 1488411 1498062 1984548 1997416 2247093 2976822 2996124 3969096 4494186 5953644 5992248 6119023 8988372 9238049 11907288 12238046 17976744 18357069 18476098 24476092 27714147 36714138 36952196 48952184 55071207 55428294 73428276 73904392 83142441 110142414 110856588 146856552 166284882 220284828 221713176 332569764 440569656 665139528 41291332583 82582665166 123873997749 165165330332 247747995498 330330660664 371621993247 495495990996 743243986494 990991981992 1486487972988 1527779305571 2972975945976 3055558611142 4583337916713 6111117222284 9166675833426 12222234444568 13750013750139 18333351666852 27500027500278 36666703333704 55000055000556 110000110001112