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1014312223431 = 321345718970099
BaseRepresentation
bin11101100001010011011…
…10000100001011000111
310120222010011101201002100
432300221232010023013
5113104302412122211
62053545115043143
7133165413433653
oct16605156041307
93528104351070
101014312223431
11361192897221
121446b71404b3
13748594950c0
1437143195a63
151b5b7ec0156
hexec29b842c7

1014312223431 has 24 divisors (see below), whose sum is σ = 1581271655600. Its totient is φ = 622826257536.

The previous prime is 1014312223429. The next prime is 1014312223481. The reversal of 1014312223431 is 1343222134101.

1014312223431 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 1 + 2 + 223 + 431 = 666.

It is not a de Polignac number, because 1014312223431 - 21 = 1014312223429 is a prime.

It is a super-2 number, since 2×10143122234312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1014312223395 and 1014312223404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014312223481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9431581 + ... + 9538518.

Almost surely, 21014312223431 is an apocalyptic number.

1014312223431 is a deficient number, since it is larger than the sum of its proper divisors (566959432169).

1014312223431 is a wasteful number, since it uses less digits than its factorization.

1014312223431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18970575 (or 18970572 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1014312223431 its reverse (1343222134101), we get a palindrome (2357534357532).

The spelling of 1014312223431 in words is "one trillion, fourteen billion, three hundred twelve million, two hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 117 457 1371 4113 5941 17823 53469 18970099 56910297 170730891 246611287 739833861 2219501583 8669335243 26008005729 78024017187 112701358159 338104074477 1014312223431