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112300202301 = 37172931349907
BaseRepresentation
bin110100010010110011…
…1010001100100111101
3101201212101122100201220
41220211213101210331
53314442322433201
6123331235023553
711053621653420
oct1504547214475
9351771570656
10112300202301
114369859a151
121992113abb9
13a788c13161
1456148a59b7
152dc4009036
hex1a259d193d

112300202301 has 64 divisors (see below), whose sum is σ = 193485127680. Its totient is φ = 56432839680.

The previous prime is 112300202257. The next prime is 112300202309. The reversal of 112300202301 is 103202003211.

It is not a de Polignac number, because 112300202301 - 211 = 112300200253 is a prime.

It is a super-2 number, since 2×1123002023012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112300202309) 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, 145990 + ... + 495896.

It is an arithmetic number, because the mean of its divisors is an integer number (3023205120).

Almost surely, 2112300202301 is an apocalyptic number.

It is an amenable number.

112300202301 is a deficient number, since it is larger than the sum of its proper divisors (81184925379).

112300202301 is a wasteful number, since it uses less digits than its factorization.

112300202301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349994.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112300202301 its reverse (103202003211), we get a palindrome (215502205512).

The spelling of 112300202301 in words is "one hundred twelve billion, three hundred million, two hundred two thousand, three hundred one".

Divisors: 1 3 7 17 21 29 31 51 87 93 119 203 217 357 493 527 609 651 899 1479 1581 2697 3451 3689 6293 10353 11067 15283 18879 45849 106981 320943 349907 1049721 2449349 5948419 7348047 10147303 10847117 17845257 30441909 32541351 41638933 71031121 75929819 124916799 172504151 184400989 213093363 227789457 314566393 517512453 553202967 943699179 1207529057 1290806923 2201964751 3622587171 3872420769 5347628681 6605894253 16042886043 37433400767 112300202301