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211003131311031 = 359199241117121227
BaseRepresentation
bin101111111110011111111110…
…101100000011001110110111
31000200002200222000101211002110
4233332133332230003032313
5210124033403103423111
62024433300023542103
762305321203304623
oct5776377654031667
91020080860354073
10211003131311031
1161260a1a86a614
121b7b99a18ba933
1390976823518a7
143a1686adc4183
15195da205c95a6
hexbfe7feb033b7

211003131311031 has 64 divisors (see below), whose sum is σ = 288996973056000. Its totient is φ = 136895270054400.

The previous prime is 211003131311017. The next prime is 211003131311059. The reversal of 211003131311031 is 130113131300112.

It is not a de Polignac number, because 211003131311031 - 27 = 211003131310903 is a prime.

It is a super-2 number, since 2×2110031313110312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211003131310989 and 211003131311007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211003131310031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9940307440 + ... + 9940328666.

It is an arithmetic number, because the mean of its divisors is an integer number (4515577704000).

Almost surely, 2211003131311031 is an apocalyptic number.

211003131311031 is a deficient number, since it is larger than the sum of its proper divisors (77993841744969).

211003131311031 is a wasteful number, since it uses less digits than its factorization.

211003131311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22900.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 211003131311031 its reverse (130113131300112), we get a palindrome (341116262611143).

The spelling of 211003131311031 in words is "two hundred eleven trillion, three billion, one hundred thirty-one million, three hundred eleven thousand, thirty-one".

Divisors: 1 3 59 177 199 241 597 723 1171 3513 11741 14219 21227 35223 42657 47959 63681 69089 143877 207267 233029 282211 699087 846633 1252393 2829581 3757179 4224173 5115707 8488743 12672519 13748711 15347121 16650449 24856817 41246133 49951347 56159989 74570451 168479967 249226207 301826713 747678621 905480139 1018025693 1466552203 3054077079 3313439351 4399656609 4946506583 5990492897 9940318053 14839519749 17971478691 60063515887 180190547661 291843888397 353439080923 875531665191 1060317242769 1192108086503 3576324259509 70334377103677 211003131311031