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114523300254231 = 321123311622441813
BaseRepresentation
bin11010000010100010001000…
…101000010101001000010111
3120000111022122200222202020200
4122002202020220111020113
5110002322204331113411
61043323140002231543
733060015066350601
oct3202421050251027
9500438580882220
10114523300254231
1133544071417110
1210a174716555b3
134bb966856352b
14203cd58bd0171
15d39031b6ee56
hex682888a15217

114523300254231 has 48 divisors (see below), whose sum is σ = 194381508851712. Its totient is φ = 64248695755200.

The previous prime is 114523300254227. The next prime is 114523300254241. The reversal of 114523300254231 is 132452003325411.

114523300254231 is a `hidden beast` number, since 1 + 1 + 4 + 52 + 3 + 30 + 0 + 2 + 542 + 31 = 666.

It is not a de Polignac number, because 114523300254231 - 22 = 114523300254227 is a prime.

It is a super-2 number, since 2×1145233002542312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114523300254241) 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 47 ways as a sum of consecutive naturals, for example, 811150320 + ... + 811291493.

It is an arithmetic number, because the mean of its divisors is an integer number (4049614767744).

Almost surely, 2114523300254231 is an apocalyptic number.

114523300254231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114523300254231 is a deficient number, since it is larger than the sum of its proper divisors (79858208597481).

114523300254231 is a wasteful number, since it uses less digits than its factorization.

114523300254231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622441884 (or 1622441881 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 114523300254231 its reverse (132452003325411), we get a palindrome (246975303579642).

The spelling of 114523300254231 in words is "one hundred fourteen trillion, five hundred twenty-three billion, three hundred million, two hundred fifty-four thousand, two hundred thirty-one".

Divisors: 1 3 9 11 23 31 33 69 93 99 207 253 279 341 713 759 1023 2139 2277 3069 6417 7843 23529 70587 1622441813 4867325439 14601976317 17846859943 37316161699 50295696203 53540579829 111948485097 150887088609 160621739487 335845455291 410477778689 452661265827 553252658233 1156801012669 1231433336067 1659757974699 3470403038007 3694300008201 4979273924097 10411209114021 12724811139359 38174433418077 114523300254231