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114012331312 = 2411319926903
BaseRepresentation
bin110101000101110101…
…0100001110100110000
3101220021201022112012111
41222023222201310300
53331444124100222
6124213155535104
711144221553245
oct1521352416460
9356251275174
10114012331312
1144396a97000
121a11a5ba494
13a99c848349
1457380275cc
152e744a6777
hex1a8baa1d30

114012331312 has 80 divisors (see below), whose sum is σ = 244202227200. Its totient is φ = 51561449280.

The previous prime is 114012331259. The next prime is 114012331313. The reversal of 114012331312 is 213133210411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (114012331313) 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 15 ways as a sum of consecutive naturals, for example, 4224453 + ... + 4251355.

It is an arithmetic number, because the mean of its divisors is an integer number (3052527840).

Almost surely, 2114012331312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114012331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122101113600).

114012331312 is an abundant number, since it is smaller than the sum of its proper divisors (130189895888).

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

114012331312 is a wasteful number, since it uses less digits than its factorization.

114012331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27143 (or 27115 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 114012331312 its reverse (213133210411), we get a palindrome (327145541723).

The spelling of 114012331312 in words is "one hundred fourteen billion, twelve million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 199 242 398 484 796 968 1331 1592 1936 2189 2662 3184 4378 5324 8756 10648 17512 21296 24079 26903 35024 48158 53806 96316 107612 192632 215224 264869 295933 385264 430448 529738 591866 1059476 1183732 2118952 2367464 3255263 4237904 4734928 5353697 6510526 10707394 13021052 21414788 26042104 35807893 42829576 52084208 58890667 71615786 85659152 117781334 143231572 235562668 286463144 471125336 572926288 647797337 942250672 1295594674 2591189348 5182378696 7125770707 10364757392 14251541414 28503082828 57006165656 114012331312