Search a number
-
+
1023334144210 = 25731743408137
BaseRepresentation
bin11101110010000110111…
…01111101100011010010
310121211101220201202202101
432321003131331203102
5113231242020103320
62102040242111014
7133635113464000
oct16710335754322
93554356652671
101023334144210
11364aa249a8a4
121463b464b46a
137566664bb71
143775b475a70
151b94507bc0a
hexee4377d8d2

1023334144210 has 128 divisors (see below), whose sum is σ = 2327366131200. Its totient is φ = 322538452992.

The previous prime is 1023334144153. The next prime is 1023334144223. The reversal of 1023334144210 is 124414333201.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 2303262 + ... + 2711398.

It is an arithmetic number, because the mean of its divisors is an integer number (18182547900).

Almost surely, 21023334144210 is an apocalyptic number.

1023334144210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023334144210 is an abundant number, since it is smaller than the sum of its proper divisors (1304031986990).

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

1023334144210 is a wasteful number, since it uses less digits than its factorization.

1023334144210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408225 (or 408211 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1023334144210 its reverse (124414333201), we get a palindrome (1147748477411).

The spelling of 1023334144210 in words is "one trillion, twenty-three billion, three hundred thirty-four million, one hundred forty-four thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 43 49 70 85 86 98 119 170 215 238 245 301 343 430 490 595 602 686 731 833 1190 1462 1505 1666 1715 2107 3010 3430 3655 4165 4214 5117 5831 7310 8330 10234 10535 11662 14749 21070 25585 29155 29498 35819 51170 58310 71638 73745 147490 179095 250733 358190 408137 501466 816274 1253665 2040685 2507330 2856959 4081370 5713918 6938329 13876658 14284795 17549891 19998713 28569590 34691645 35099782 39997426 48568303 69383290 87749455 97136606 99993565 122849237 139990991 175498910 199987130 242841515 245698474 279981982 298348147 339978121 485683030 596696294 614246185 679956242 699954955 859944659 1228492370 1399909910 1491740735 1699890605 1719889318 2088437029 2379846847 2983481470 3399781210 4176874058 4299723295 4759693694 6019612613 8599446590 10442185145 11899234235 12039225226 14619059203 20884370290 23798468470 29238118406 30098063065 60196126130 73095296015 102333414421 146190592030 204666828842 511667072105 1023334144210