Search a number
-
+
13302311013222 = 23711151907210233
BaseRepresentation
bin1100000110010010111110…
…0001011100101101100110
31202002200120221000012011220
43001210233201130231212
53220421113104410342
644142555230441210
72542026444664650
oct301445741345546
952080527005156
1013302311013222
11426952985a480
1215aa0b1063206
13756530516c6a
1433db9a0616d0
15181054b905ec
hexc192f85cb66

13302311013222 has 128 divisors (see below), whose sum is σ = 33426035417088. Its totient is φ = 3428463456000.

The previous prime is 13302311013221. The next prime is 13302311013241. The reversal of 13302311013222 is 22231011320331.

13302311013222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13302311013192 and 13302311013201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302311013221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63169018 + ... + 63379250.

It is an arithmetic number, because the mean of its divisors is an integer number (261140901696).

Almost surely, 213302311013222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302311013222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713017708544).

13302311013222 is an abundant number, since it is smaller than the sum of its proper divisors (20123724403866).

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

13302311013222 is a wasteful number, since it uses less digits than its factorization.

13302311013222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211314.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13302311013222 its reverse (22231011320331), we get a palindrome (35533322333553).

The spelling of 13302311013222 in words is "thirteen trillion, three hundred two billion, three hundred eleven million, thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 151 154 231 302 453 462 906 907 1057 1661 1814 2114 2721 3171 3322 4983 5442 6342 6349 9966 9977 11627 12698 19047 19954 23254 29931 34881 38094 59862 69762 69839 136957 139678 209517 210233 273914 410871 419034 420466 630699 821742 958699 1261398 1471631 1506527 1917398 2312563 2876097 2943262 3013054 4414893 4519581 4625126 5752194 6937689 8829786 9039162 10545689 13875378 16187941 21091378 31637067 31745183 32375882 48563823 63274134 63490366 95235549 97127646 190471098 190681331 222216281 349197013 381362662 444432562 572043993 666648843 698394026 1047591039 1144087986 1333297686 1334769317 2095182078 2097494641 2444379091 2669538634 4004307951 4194989282 4888758182 6292483923 7333137273 8008615902 12584967846 14666274546 14682462487 28792880981 29364924974 44047387461 57585761962 86378642943 88094774922 172757285886 201550166867 316721690791 403100333734 604650500601 633443381582 950165072373 1209301001202 1900330144746 2217051835537 4434103671074 6651155506611 13302311013222