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112221241040 = 24541197317341
BaseRepresentation
bin110100010000011101…
…0000011111011010000
3101201122220001201020202
41220200322003323100
53314312114203130
6123315334354332
711051642544566
oct1504072037320
9351586051222
10112221241040
1143657a68407
12198ba7bb9a8
13a77575780c
1456081cda36
152dbc10d145
hex1a20e83ed0

112221241040 has 80 divisors (see below), whose sum is σ = 267429039696. Its totient is φ = 43768934400.

The previous prime is 112221241037. The next prime is 112221241049. The reversal of 112221241040 is 40142122211.

It can be written as a sum of positive squares in 8 ways, for example, as 8101440064 + 104119800976 = 90008^2 + 322676^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112221241049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6462770 + ... + 6480110.

Almost surely, 2112221241040 is an apocalyptic number.

112221241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112221241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133714519848).

112221241040 is an abundant number, since it is smaller than the sum of its proper divisors (155207798656).

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

112221241040 is a wasteful number, since it uses less digits than its factorization.

112221241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19368 (or 19362 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 112221241040 its reverse (40142122211), we get a palindrome (152363363251).

The spelling of 112221241040 in words is "one hundred twelve billion, two hundred twenty-one million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 1973 3280 3946 7892 9865 15784 17341 19730 31568 34682 39460 69364 78920 80893 86705 138728 157840 161786 173410 277456 323572 346820 404465 647144 693640 710981 808930 1294288 1387280 1421962 1617860 2843924 3235720 3554905 5687848 6471440 7109810 11375696 14219620 28439240 34213793 56878480 68427586 136855172 171068965 273710344 342137930 547420688 684275860 1368551720 1402765513 2737103440 2805531026 5611062052 7013827565 11222124104 14027655130 22444248208 28055310260 56110620520 112221241040