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110302420431114 = 23319677273158147
BaseRepresentation
bin11001000101000111001000…
…100101100111000100001010
3112110112210211022221110011000
4121011013020211213010022
5103424143324112243424
61030332122111115430
732143041543001542
oct3105071045470412
9473483738843130
10110302420431114
1132166aa283418a
1210455421512b76
1349716206c0412
141d34946700322
15cb43446313c9
hex6451c896710a

110302420431114 has 128 divisors (see below), whose sum is σ = 258497538739200. Its totient is φ = 34767558745920.

The previous prime is 110302420431113. The next prime is 110302420431187. The reversal of 110302420431114 is 411134024203011.

It is a happy number.

110302420431114 is a `hidden beast` number, since 1 + 1 + 0 + 302 + 42 + 0 + 4 + 311 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (110302420431113) 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 63 ways as a sum of consecutive naturals, for example, 1896928989 + ... + 1896987135.

It is an arithmetic number, because the mean of its divisors is an integer number (2019512021400).

Almost surely, 2110302420431114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110302420431114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129248769369600).

110302420431114 is an abundant number, since it is smaller than the sum of its proper divisors (148195118308086).

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

110302420431114 is a wasteful number, since it uses less digits than its factorization.

110302420431114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61585 (or 61579 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 110302420431114 its reverse (411134024203011), we get a palindrome (521436444634125).

The spelling of 110302420431114 in words is "one hundred ten trillion, three hundred two billion, four hundred twenty million, four hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 677 1026 1354 2031 2731 4062 5462 6093 8193 12186 12863 16386 18279 24579 25726 36558 38589 49158 51889 58147 73737 77178 103778 115767 116294 147474 155667 174441 231534 311334 347301 348882 467001 523323 694602 934002 1046646 1104793 1401003 1569969 1848887 2209586 2802006 3139938 3314379 3697774 5546661 6628758 9943137 11093322 16639983 19886274 29829411 33279966 35128853 39365519 49919949 59658822 70257706 78731038 99839898 105386559 118096557 158799457 210773118 236193114 316159677 317598914 354289671 476398371 632319354 708579342 747944861 948479031 952796742 1062869013 1429195113 1495889722 1896958062 2125738026 2243834583 2858390226 3017189683 4287585339 4487669166 6034379366 6731503749 8575170678 9051569049 13463007498 18103138098 20194511247 27154707147 40389022494 54309414294 81464121441 107507232389 162928242882 215014464778 322521697167 645043394334 967565091501 1935130183002 2042637415391 2902695274503 4085274830782 5805390549006 6127912246173 12255824492346 18383736738519 36767473477038 55151210215557 110302420431114