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11402222220411 = 31121910125165213
BaseRepresentation
bin1010010111101100100101…
…1001111011010001111011
31111101001010110201112121220
42211323021121323101323
52443303222342023121
640130035241403123
72254532460511131
oct245731131732173
944331113645556
1011402222220411
1136a6723208400
1213419b11994a3
136492c02739c9
142b5c2891b751
1514b8e820d6c6
hexa5ec967b47b

11402222220411 has 96 divisors (see below), whose sum is σ = 17835413379840. Its totient is φ = 6455988000000.

The previous prime is 11402222220391. The next prime is 11402222220413.

11402222220411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11402222220411 - 25 = 11402222220379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11402222220413) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174813241 + ... + 174878453.

It is an arithmetic number, because the mean of its divisors is an integer number (185785556040).

Almost surely, 211402222220411 is an apocalyptic number.

11402222220411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11402222220411 is a deficient number, since it is larger than the sum of its proper divisors (6433191159429).

11402222220411 is a wasteful number, since it uses less digits than its factorization.

11402222220411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65609 (or 65598 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 1140222 and 2220411, that added together give a palindrome (3360633).

The spelling of 11402222220411 in words is "eleven trillion, four hundred two billion, two hundred twenty-two million, two hundred twenty thousand, four hundred eleven".

Divisors: 1 3 11 19 33 57 101 121 209 251 303 363 627 753 1111 1919 2299 2761 3333 4769 5757 6897 8283 12221 14307 21109 25351 30371 36663 52459 63327 65213 76053 91113 157377 195639 232199 278861 481669 577049 696597 717343 836583 1239047 1445007 1731147 2152029 3067471 3717141 5298359 6586513 7890773 9202413 13629517 15895077 16368463 19759539 23672319 40888551 49105389 58281949 72451643 125143747 149924687 174845847 180053093 217354929 311000797 375431241 449774061 540159279 796968073 933002391 1376581217 1653214763 1980584023 2390904219 3421008767 4129743651 4959644289 5941752069 10263026301 15142393387 18185362393 31411080497 37631096437 45427180161 54556087179 94233241491 112893289311 200038986323 345521885467 600116958969 1036565656401 3800740740137 11402222220411