Search a number
-
+
10331304224444 = 22721971201222787
BaseRepresentation
bin1001011001010111000110…
…1101111110011010111100
31100120122220100120122112122
42112111301231332122330
52323232002340140234
633550045144222112
72114261230652300
oct226256155763274
940518810518478
1010331304224444
113323532997495
1211aa338a6a938
1359c312605c58
1427a0759b9d00
1512db1a9a292e
hex96571b7e6bc

10331304224444 has 72 divisors (see below), whose sum is σ = 21156038486352. Its totient is φ = 4401538444800.

The previous prime is 10331304224431. The next prime is 10331304224467. The reversal of 10331304224444 is 44442240313301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46261619 + ... + 46484405.

It is an arithmetic number, because the mean of its divisors is an integer number (293833867866).

Almost surely, 210331304224444 is an apocalyptic number.

10331304224444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331304224444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10578019243176).

10331304224444 is an abundant number, since it is smaller than the sum of its proper divisors (10824734261908).

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

10331304224444 is a wasteful number, since it uses less digits than its factorization.

10331304224444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224203 (or 224194 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 10331304224444 its reverse (44442240313301), we get a palindrome (54773544537745).

The spelling of 10331304224444 in words is "ten trillion, three hundred thirty-one billion, three hundred four million, two hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 197 394 788 1201 1379 2402 2758 4804 5516 8407 9653 16814 19306 33628 38612 58849 117698 222787 235396 236597 445574 473194 891148 946388 1559509 1656179 3119018 3312358 6238036 6624716 10916563 11593253 21833126 23186506 43666252 43889039 46373012 87778078 175556156 267567187 307223273 535134374 614446546 1070268748 1228893092 1872970309 2150562911 3745940618 4301125822 7491881236 8602251644 13110792163 26221584326 52443168652 52710735839 105421471678 210842943356 368975150873 737950301746 1475900603492 2582826056111 5165652112222 10331304224444