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2131311301 = 721719311433
BaseRepresentation
bin111111100001001…
…0011101011000101
312111112102211110121
41333002103223011
513331103430201
6551253221541
7103546563400
oct17702235305
95445384417
102131311301
119a40847a9
124b59318b1
1327c731962
141630bad37
15c719e9a1
hex7f093ac5

2131311301 has 48 divisors (see below), whose sum is σ = 2778572160. Its totient is φ = 1619896320.

The previous prime is 2131311253. The next prime is 2131311319. The reversal of 2131311301 is 1031131312.

It is not a de Polignac number, because 2131311301 - 27 = 2131311173 is a prime.

It is a super-3 number, since 3×21313113013 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131311341) 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, 4921981 + ... + 4922413.

It is an arithmetic number, because the mean of its divisors is an integer number (57886920).

Almost surely, 22131311301 is an apocalyptic number.

It is an amenable number.

2131311301 is a deficient number, since it is larger than the sum of its proper divisors (647260859).

2131311301 is a wasteful number, since it uses less digits than its factorization.

2131311301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 2131311301 is about 46166.1272038277. The cubic root of 2131311301 is about 1286.9123319997.

Adding to 2131311301 its reverse (1031131312), we get a palindrome (3162442613).

The spelling of 2131311301 in words is "two billion, one hundred thirty-one million, three hundred eleven thousand, three hundred one".

Divisors: 1 7 17 19 49 119 133 311 323 433 833 931 2177 2261 3031 5287 5909 7361 8227 15239 15827 21217 37009 41363 51527 57589 100453 134663 139859 259063 289541 360689 403123 703171 942641 979013 2289271 2558597 4922197 6598487 6853091 16024897 17910179 43496149 112174279 125371253 304473043 2131311301