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112144412112 = 24343531025161
BaseRepresentation
bin110100001110001010…
…0111110110111010000
3101201110112111101202220
41220130110332313100
53314132432141422
6123303551541040
711050020526545
oct1503424766720
9351415441686
10112144412112
1143618662727
1219898b2a780
13a762867905
1455dbd10bcc
152db54d3e5c
hex1a1c53edd0

112144412112 has 80 divisors (see below), whose sum is σ = 302037329088. Its totient is φ = 35823191040.

The previous prime is 112144412099. The next prime is 112144412113. The reversal of 112144412112 is 211214441211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112144412113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403189 + ... + 621972.

Almost surely, 2112144412112 is an apocalyptic number.

112144412112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112144412112 is an abundant number, since it is smaller than the sum of its proper divisors (189892916976).

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

112144412112 is a wasteful number, since it uses less digits than its factorization.

112144412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025268 (or 1025262 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

Adding to 112144412112 its reverse (211214441211), we get a palindrome (323358853323).

It can be divided in two parts, 11214441211 and 2, that multiplied together give a palindrome (22428882422).

The spelling of 112144412112 in words is "one hundred twelve billion, one hundred forty-four million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 53 86 106 129 159 172 212 258 318 344 424 516 636 688 848 1032 1272 2064 2279 2544 4558 6837 9116 13674 18232 27348 36464 54696 109392 1025161 2050322 3075483 4100644 6150966 8201288 12301932 16402576 24603864 44081923 49207728 54333533 88163846 108667066 132245769 163000599 176327692 217334132 264491538 326001198 352655384 434668264 528983076 652002396 705310768 869336528 1057966152 1304004792 2115932304 2336341919 2608009584 4672683838 7009025757 9345367676 14018051514 18690735352 28036103028 37381470704 56072206056 112144412112