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110985220693368 = 23337223329161093
BaseRepresentation
bin11001001111000011000010…
…101001111001110101111000
3112112222002020212002122022000
4121033003002221321311320
5104021340212444141433
61032013523450301000
732243263142321220
oct3117030251716570
9475862225078260
10110985220693368
11323aa62778028a
1210545819a27760
1349c0b27672138
141d599db5b1080
15cc6ea870a113
hex64f0c2a79d78

110985220693368 has 128 divisors (see below), whose sum is σ = 353914008268800. Its totient is φ = 31567865367168.

The previous prime is 110985220693343. The next prime is 110985220693387. The reversal of 110985220693368 is 863396022589011.

110985220693368 is a `hidden beast` number, since 1 + 1 + 0 + 98 + 5 + 2 + 206 + 9 + 336 + 8 = 666.

110985220693368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164243371 + ... + 164917722.

It is an arithmetic number, because the mean of its divisors is an integer number (2764953189600).

Almost surely, 2110985220693368 is an apocalyptic number.

110985220693368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

110985220693368 is an abundant number, since it is smaller than the sum of its proper divisors (242928787575432).

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

110985220693368 is a wasteful number, since it uses less digits than its factorization.

110985220693368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329161338 (or 329161328 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 110985220693368 in words is "one hundred ten trillion, nine hundred eighty-five billion, two hundred twenty million, six hundred ninety-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 223 252 378 446 504 669 756 892 1338 1512 1561 1784 2007 2676 3122 4014 4683 5352 6021 6244 8028 9366 12042 12488 14049 16056 18732 24084 28098 37464 42147 48168 56196 84294 112392 168588 337176 329161093 658322186 987483279 1316644372 1974966558 2304127651 2633288744 2962449837 3949933116 4608255302 5924899674 6912382953 7899866232 8887349511 9216510604 11849799348 13824765906 17774699022 18433021208 20737148859 23699598696 27649531812 35549398044 41474297718 55299063624 62211446577 71098796088 73402923739 82948595436 124422893154 146805847478 165897190872 220208771217 248845786308 293611694956 440417542434 497691572616 513820466173 587223389912 660626313651 880835084868 1027640932346 1321252627302 1541461398519 1761670169736 1981878940953 2055281864692 2642505254604 3082922797038 3963757881906 4110563729384 4624384195557 5285010509208 6165845594076 7927515763812 9248768391114 12331691188152 13873152586671 15855031527624 18497536782228 27746305173342 36995073564456 55492610346684 110985220693368