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114431005335133 = 1753211766978487
BaseRepresentation
bin11010000001001100001011…
…011011001001111001011101
3120000011111102111211001221201
4122001030023123021321131
5104444314144331211013
61043212513401555501
733050236662444034
oct3201141333117135
9500144374731851
10114431005335133
1133508a0a335373
1210a015b41a5b91
134bb0a4a157976
1420386c11c771b
15d3692e0c73dd
hex68130b6c9e5d

114431005335133 has 32 divisors (see below), whose sum is σ = 124051137949440. Its totient is φ = 105151850818560.

The previous prime is 114431005335083. The next prime is 114431005335139. The reversal of 114431005335133 is 331533500134411.

It is a cyclic number.

It is not a de Polignac number, because 114431005335133 - 29 = 114431005334621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114431005335092 and 114431005335101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114431005335139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1457922016 + ... + 1458000502.

It is an arithmetic number, because the mean of its divisors is an integer number (3876598060920).

Almost surely, 2114431005335133 is an apocalyptic number.

It is an amenable number.

114431005335133 is a deficient number, since it is larger than the sum of its proper divisors (9620132614307).

114431005335133 is a wasteful number, since it uses less digits than its factorization.

114431005335133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86437.

The product of its (nonzero) digits is 97200, while the sum is 37.

Adding to 114431005335133 its reverse (331533500134411), we get a palindrome (445964505469544).

The spelling of 114431005335133 in words is "one hundred fourteen trillion, four hundred thirty-one billion, five million, three hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 17 53 211 901 3587 7669 11183 78487 130373 190111 406457 1334279 1618159 4159811 6909769 16560757 27508703 70716787 85762427 281532869 601916803 877720121 1457961259 10232585651 14921242057 31901590559 127004445433 542327039503 2159075572361 6731235607949 114431005335133