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110216222144 = 2672263133633
BaseRepresentation
bin110011010100101100…
…1100001010111000000
3101112111011021012101122
41212221121201113000
53301210323102034
6122344352051412
710651155300500
oct1465131412700
9345434235348
10110216222144
1142819202aa6
121943b233b68
13a516243bc2
145497bc9a00
152d010a862e
hex19a96615c0

110216222144 has 84 divisors (see below), whose sum is σ = 255387402864. Its totient is φ = 47055568896.

The previous prime is 110216222119. The next prime is 110216222159. The reversal of 110216222144 is 441222612011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 757952 + ... + 891584.

Almost surely, 2110216222144 is an apocalyptic number.

110216222144 is a gapful number since it is divisible by the number (14) 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 110216222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127693701432).

110216222144 is an abundant number, since it is smaller than the sum of its proper divisors (145171180720).

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

110216222144 is a wasteful number, since it uses less digits than its factorization.

110216222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133922 (or 133905 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 110216222144 its reverse (441222612011), we get a palindrome (551438834155).

The spelling of 110216222144 in words is "one hundred ten billion, two hundred sixteen million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 263 392 448 526 784 1052 1568 1841 2104 3136 3682 4208 7364 8416 12887 14728 16832 25774 29456 51548 58912 103096 117824 133633 206192 267266 412384 534532 824768 935431 1069064 1870862 2138128 3741724 4276256 6548017 7483448 8552512 13096034 14966896 26192068 29933792 35145479 52384136 59867584 70290958 104768272 140581916 209536544 246018353 281163832 419073088 492036706 562327664 984073412 1124655328 1722128471 1968146824 2249310656 3444256942 3936293648 6888513884 7872587296 13777027768 15745174592 27554055536 55108111072 110216222144