Search a number
-
+
1302220142223 = 3711133732713583
BaseRepresentation
bin10010111100110010010…
…111100111011010001111
311121111020221221100210220
4102330302113213122033
5132313421324022343
62434122013002423
7163040141401260
oct22746227473217
94544227840726
101302220142223
114622a5359980
12190466a83413
1395a5005bb70
144705638a967
1523d18cc0183
hex12f325e768f

1302220142223 has 128 divisors (see below), whose sum is σ = 2395654324224. Its totient is φ = 607209177600.

The previous prime is 1302220142177. The next prime is 1302220142261. The reversal of 1302220142223 is 3222410222031.

It is not a de Polignac number, because 1302220142223 - 217 = 1302220011151 is a prime.

It is a super-2 number, since 2×13022201422232 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1302220142193 and 1302220142202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1302220144223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 363442290 + ... + 363445872.

It is an arithmetic number, because the mean of its divisors is an integer number (18716049408).

Almost surely, 21302220142223 is an apocalyptic number.

1302220142223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1302220142223 is a deficient number, since it is larger than the sum of its proper divisors (1093434182001).

1302220142223 is a wasteful number, since it uses less digits than its factorization.

1302220142223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6925.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1302220142223 its reverse (3222410222031), we get a palindrome (4524630364254).

The spelling of 1302220142223 in words is "one trillion, three hundred two billion, two hundred twenty million, one hundred forty-two thousand, two hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3271 3367 3583 5291 8547 9813 10101 10749 15873 22897 25081 35981 37037 39413 42523 46579 68691 75243 107943 111111 118239 121027 127569 132571 139737 251867 275891 297661 326053 363081 397713 467753 512369 755601 827673 847189 892983 927997 978159 1331297 1403259 1458281 1537107 1573351 1723423 2541567 2783991 3274271 3586583 3993891 4374843 4720053 5170269 9319079 9822813 10207967 10759749 11013457 11719993 12063961 17306861 18957653 27957237 30623901 33040371 35159979 36191883 51920583 56872959 82039951 121148027 128919923 132703571 152359909 246119853 363444081 386759769 398110713 433639741 457079727 902439461 1066519363 1300919223 1675958999 2707318383 3035478187 3199558089 4770037151 5027876997 5637316633 9106434561 11731712993 14310111453 16911949899 33390260057 35195138979 39461216431 62010482963 100170780171 118383649293 186031448889 434073380741 1302220142223