Search a number
-
+
1302213221320 = 2351116717722009
BaseRepresentation
bin10010111100110001111…
…101001101101111001000
311121111020110220202010011
4102330301331031233020
5132313413041040240
62434121204401304
7163040025514564
oct22746175155710
94544213822104
101302213221320
114622a1462120
121904646a6234
1395a4b7a795b
14470554a86a4
1523d183a46ea
hex12f31f4dbc8

1302213221320 has 64 divisors (see below), whose sum is σ = 3215481494400. Its totient is φ = 470696532480.

The previous prime is 1302213221227. The next prime is 1302213221357. The reversal of 1302213221320 is 231223122031.

It is a super-2 number, since 2×13022132213202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1302213221291 and 1302213221300.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8787525 + ... + 8934484.

It is an arithmetic number, because the mean of its divisors is an integer number (50241898350).

Almost surely, 21302213221320 is an apocalyptic number.

1302213221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302213221320 is an abundant number, since it is smaller than the sum of its proper divisors (1913268273080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1302213221320 is a wasteful number, since it uses less digits than its factorization.

1302213221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17722198 (or 17722194 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1302213221320 its reverse (231223122031), we get a palindrome (1533436343351).

The spelling of 1302213221320 in words is "one trillion, three hundred two billion, two hundred thirteen million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 167 220 334 440 668 835 1336 1670 1837 3340 3674 6680 7348 9185 14696 18370 36740 73480 17722009 35444018 70888036 88610045 141776072 177220090 194942099 354440180 389884198 708880360 779768396 974710495 1559536792 1949420990 2959575503 3898841980 5919151006 7797683960 11838302012 14797877515 23676604024 29595755030 32555330533 59191510060 65110661066 118383020120 130221322132 162776652665 260442644264 325553305330 651106610660 1302213221320