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114410022100 = 225211176118183
BaseRepresentation
bin110101010001101011…
…1100110010011010100
3101221022102122022101221
41222203113212103110
53333302431201400
6124320443500124
711160121066513
oct1524327462324
9357272568357
10114410022100
1144580524a80
121a20b827644
13aa3405b83a
145774b8a67a
152e99360c1a
hex1aa35e64d4

114410022100 has 72 divisors (see below), whose sum is σ = 286771520448. Its totient is φ = 39156364800.

The previous prime is 114410022091. The next prime is 114410022149. The reversal of 114410022100 is 1220014411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3040392 + ... + 3077791.

It is an arithmetic number, because the mean of its divisors is an integer number (3982937784).

Almost surely, 2114410022100 is an apocalyptic number.

114410022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114410022100 is an abundant number, since it is smaller than the sum of its proper divisors (172361498348).

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

114410022100 is a wasteful number, since it uses less digits than its factorization.

114410022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118225 (or 6118218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 114410022100 its reverse (1220014411), we get a palindrome (115630036511).

The spelling of 114410022100 in words is "one hundred fourteen billion, four hundred ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 6118183 12236366 24472732 30590915 61181830 67300013 104009111 122363660 134600026 152954575 208018222 269200052 305909150 336500065 416036444 520045555 611818300 673000130 1040091110 1144100221 1346000260 1682500325 2080182220 2288200442 2600227775 3365000650 4576400884 5200455550 5720501105 6730001300 10400911100 11441002210 22882004420 28602505525 57205011050 114410022100