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110320220013201 = 33112389491176797
BaseRepresentation
bin11001000101010111101101…
…100001101000001010010001
3112110121111202210222220111000
4121011113231201220022101
5103424441302310410301
61030344224234012213
732144241615646062
oct3105275541501221
9473544683886430
10110320220013201
11321735a7178700
121045896a577069
1349731c924b403
141d3575467a569
15cb4a370eb786
hex6455ed868291

110320220013201 has 96 divisors (see below), whose sum is σ = 180475681276800. Its totient is φ = 66552661929600.

The previous prime is 110320220013197. The next prime is 110320220013233. The reversal of 110320220013201 is 102310022023011.

110320220013201 is a `hidden beast` number, since 1 + 1 + 0 + 320 + 2 + 20 + 0 + 1 + 320 + 1 = 666.

It is not a de Polignac number, because 110320220013201 - 22 = 110320220013197 is a prime.

It is a super-2 number, since 2×1103202200132012 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110320220013281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 623905335 + ... + 624082131.

It is an arithmetic number, because the mean of its divisors is an integer number (1879955013300).

Almost surely, 2110320220013201 is an apocalyptic number.

110320220013201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110320220013201 is a deficient number, since it is larger than the sum of its proper divisors (70155461263599).

110320220013201 is a wasteful number, since it uses less digits than its factorization.

110320220013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177708 (or 177691 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110320220013201 its reverse (102310022023011), we get a palindrome (212630242036212).

The spelling of 110320220013201 in words is "one hundred ten trillion, three hundred twenty billion, two hundred twenty million, thirteen thousand, two hundred one".

Divisors: 1 3 9 11 27 33 99 121 297 363 389 491 1089 1167 1473 3267 3501 4279 4419 5401 10503 12837 13257 16203 38511 47069 48609 59411 115533 141207 145827 176797 178233 190999 423621 530391 534699 572997 1270863 1591173 1604097 1718991 1944767 2100989 4773519 5156973 5834301 6302967 17502903 18908901 21392437 23110879 52508709 56726703 64177311 68774033 69332637 86807327 192531933 206322099 207997911 260421981 577595799 618966297 623993733 756514363 781265943 954880597 1856898891 2269543089 2343797829 2864641791 6808629267 8321657993 8593925373 10503686567 20425887801 24964973979 25781776119 31511059701 33768050203 74894921937 94533179103 101304150609 224684765811 283599537309 303912451827 371448552233 911737355481 1114345656699 3343036970097 4085934074563 10029110910291 12257802223689 36773406671067 110320220013201