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110212412193 = 321331197154247
BaseRepresentation
bin110011010100100101…
…0111111001100100001
3101112110220002122010100
41212221022333030201
53301203334142233
6122344134253013
710651111021662
oct1465112771441
9345426078110
10110212412193
1142817040584
1219439ab7169
13a51550b9b0
1454974b7369
152d00aa4813
hex19a92bf321

110212412193 has 48 divisors (see below), whose sum is σ = 177871389696. Its totient is φ = 65301586560.

The previous prime is 110212412137. The next prime is 110212412197. The reversal of 110212412193 is 391214212011.

It is not a de Polignac number, because 110212412193 - 26 = 110212412129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110212412197) 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 47 ways as a sum of consecutive naturals, for example, 637396 + ... + 791642.

It is an arithmetic number, because the mean of its divisors is an integer number (3705653952).

Almost surely, 2110212412193 is an apocalyptic number.

110212412193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110212412193 is a deficient number, since it is larger than the sum of its proper divisors (67658977503).

110212412193 is a wasteful number, since it uses less digits than its factorization.

110212412193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154494 (or 154491 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 110212412193 in words is "one hundred ten billion, two hundred twelve million, four hundred twelve thousand, one hundred ninety-three".

Divisors: 1 3 9 13 31 39 93 117 197 279 403 591 1209 1773 2561 3627 6107 7683 18321 23049 54963 79391 154247 238173 462741 714519 1388223 2005211 4781657 6015633 14344971 18046899 30386659 43034913 62161541 91159977 186484623 273479931 395026567 559453869 941986429 1185079701 2825959287 3555239103 8477877861 12245823577 36737470731 110212412193