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110110131312 = 24315722976361
BaseRepresentation
bin110011010001100010…
…0110100010001110000
3101112012202122020010120
41212203010310101300
53301001143200222
6122330042130240
710645426446666
oct1464304642160
9345182566116
10110110131312
1142774331425
121940b7b0980
13a4ca279c6c
145487a90c36
152ce6aee15c
hex19a3134470

110110131312 has 80 divisors (see below), whose sum is σ = 286432610592. Its totient is φ = 36447989760.

The previous prime is 110110131301. The next prime is 110110131323. The reversal of 110110131312 is 213131011011.

110110131312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (110110131301) and next prime (110110131323).

It is a junction number, because it is equal to n+sod(n) for n = 110110131291 and 110110131300.

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, 17307012 + ... + 17313372.

Almost surely, 2110110131312 is an apocalyptic number.

110110131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110110131312 is an abundant number, since it is smaller than the sum of its proper divisors (176322479280).

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

110110131312 is a wasteful number, since it uses less digits than its factorization.

110110131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826 (or 8820 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 110110131312 its reverse (213131011011), we get a palindrome (323241142323).

The spelling of 110110131312 in words is "one hundred ten billion, one hundred ten million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 157 314 471 628 942 1256 1884 2297 2512 3768 4594 6361 6891 7536 9188 12722 13782 18376 19083 25444 27564 36752 38166 50888 55128 76332 101776 110256 152664 305328 360629 721258 998677 1081887 1442516 1997354 2163774 2885032 2996031 3994708 4327548 5770064 5992062 7989416 8655096 11984124 14611217 15978832 17310192 23968248 29222434 43833651 47936496 58444868 87667302 116889736 175334604 233779472 350669208 701338416 2293961069 4587922138 6881883207 9175844276 13763766414 18351688552 27527532828 36703377104 55055065656 110110131312