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114123120312 = 23347101172979
BaseRepresentation
bin110101001001001000…
…1001001111010111000
3101220120102210012010210
41222102101021322320
53332211004322222
6124232154311120
711150035342245
oct1522221117270
9356512705123
10114123120312
1144443587463
121a14b7284a0
13a9b9798876
145748a265cc
152e7e08cd0c
hex1a92449eb8

114123120312 has 32 divisors (see below), whose sum is σ = 291378182400. Its totient is φ = 37231655904.

The previous prime is 114123120311. The next prime is 114123120341. The reversal of 114123120312 is 213021321411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114123120311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50585362 + ... + 50587617.

It is an arithmetic number, because the mean of its divisors is an integer number (9105568200).

Almost surely, 2114123120312 is an apocalyptic number.

114123120312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114123120312 is an abundant number, since it is smaller than the sum of its proper divisors (177255062088).

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

114123120312 is a wasteful number, since it uses less digits than its factorization.

114123120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101173035 (or 101173031 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 114123120312 its reverse (213021321411), we get a palindrome (327144441723).

The spelling of 114123120312 in words is "one hundred fourteen billion, one hundred twenty-three million, one hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 101172979 202345958 303518937 404691916 607037874 809383832 1214075748 2428151496 4755130013 9510260026 14265390039 19020520052 28530780078 38041040104 57061560156 114123120312