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114505320510031 = 11371797012242127
BaseRepresentation
bin11010000010010001011000…
…111101000011001001001111
3120000102121020122221002221211
4122002101120331003021033
5110002023344022310111
61043311003522035251
733055510405141363
oct3202213075031117
9500377218832854
10114505320510031
113353748530a190
1210a13a941a8b27
134bb7a615a5939
14203c130d572a3
15d3882d468521
hex682458f4324f

114505320510031 has 32 divisors (see below), whose sum is σ = 129191774100480. Its totient is φ = 100572803856000.

The previous prime is 114505320510019. The next prime is 114505320510067. The reversal of 114505320510031 is 130015023505411.

It is not a de Polignac number, because 114505320510031 - 211 = 114505320507983 is a prime.

It is a super-2 number, since 2×1145053205100312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114505320509975 and 114505320510002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114505320510071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49948890 + ... + 52191016.

It is an arithmetic number, because the mean of its divisors is an integer number (4037242940640).

Almost surely, 2114505320510031 is an apocalyptic number.

114505320510031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114505320510031 is a deficient number, since it is larger than the sum of its proper divisors (14686453590449).

114505320510031 is a wasteful number, since it uses less digits than its factorization.

114505320510031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243055.

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 114505320510031 in words is "one hundred fourteen trillion, five hundred five billion, three hundred twenty million, five hundred ten thousand, thirty-one".

Divisors: 1 11 37 179 407 701 1969 6623 7711 25937 72853 125479 285307 1380269 2242127 4642723 24663397 51069953 82958699 401340733 912545689 1571731027 4414748063 14849607121 17289041297 58154047999 163345678331 281339853833 639694527989 3094738392163 10409574591821 114505320510031