Search a number
-
+
16121203005431 = 1729335365913913
BaseRepresentation
bin1110101010011000001010…
…0101000001011111110111
32010002011122100121102102202
43222212002211001133313
54103112210432133211
654141551201055115
73252501303404366
oct352460245013767
963064570542382
1016121203005431
115155a668aa357
12198449232749b
138cc2b89a9ac4
143da3add377dd
151ce5397b253b
hexea9829417f7

16121203005431 has 32 divisors (see below), whose sum is σ = 17203587952320. Its totient is φ = 15054313652224.

The previous prime is 16121203005409. The next prime is 16121203005503. The reversal of 16121203005431 is 13450030212161.

It is a cyclic number.

It is not a de Polignac number, because 16121203005431 - 222 = 16121198811127 is a prime.

It is a super-2 number, since 2×161212030054312 (a number of 27 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 = 16121203005394 and 16121203005403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16121203005931) 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, 1158708131 + ... + 1158722043.

It is an arithmetic number, because the mean of its divisors is an integer number (537612123510).

Almost surely, 216121203005431 is an apocalyptic number.

16121203005431 is a deficient number, since it is larger than the sum of its proper divisors (1082384946889).

16121203005431 is a wasteful number, since it uses less digits than its factorization.

16121203005431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15235.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 16121203005431 its reverse (13450030212161), we get a palindrome (29571233217592).

The spelling of 16121203005431 in words is "sixteen trillion, one hundred twenty-one billion, two hundred three million, five thousand, four hundred thirty-one".

Divisors: 1 17 293 353 659 4981 6001 11203 13913 103429 193087 232627 236521 1758293 3282479 3954659 4076509 4911289 9168667 68159711 69300653 83491913 155867339 1158715087 1439007677 2686419431 3236539451 24463130509 45669130327 55021170667 948306059143 16121203005431