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11200221230442 = 23192343113077583
BaseRepresentation
bin1010001011111100000100…
…1101010011010101101010
31110122201201200020000220220
42202333001031103111222
52432001023113333232
635453151031230510
72234121631440126
oct242770115232552
943581650200826
1011200221230442
113628a94993892
12130a817518436
1363323a5219ca
142aa144ba4586
1514652427d42c
hexa2fc135356a

11200221230442 has 128 divisors (see below), whose sum is σ = 24683815895040. Its totient is φ = 3372256451520.

The previous prime is 11200221230441. The next prime is 11200221230467. The reversal of 11200221230442 is 24403212200211.

11200221230442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112002212304422 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11200221230441) 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, 1477013383 + ... + 1477020965.

It is an arithmetic number, because the mean of its divisors is an integer number (192842311680).

Almost surely, 211200221230442 is an apocalyptic number.

11200221230442 is an abundant number, since it is smaller than the sum of its proper divisors (13483594664598).

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

11200221230442 is a wasteful number, since it uses less digits than its factorization.

11200221230442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11200221230442 its reverse (24403212200211), we get a palindrome (35603433430653).

The spelling of 11200221230442 in words is "eleven trillion, two hundred billion, two hundred twenty-one million, two hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 19 23 38 46 57 69 114 138 431 437 862 874 1293 1307 1311 2586 2614 2622 3921 7583 7842 8189 9913 15166 16378 19826 22749 24567 24833 29739 30061 45498 49134 49666 59478 60122 74499 90183 144077 148998 174409 180366 188347 288154 348818 376694 432231 523227 563317 565041 571159 864462 1046454 1126634 1130082 1142318 1689951 1713477 3268273 3313771 3379902 3426954 6536546 6627542 9804819 9910981 9941313 10703023 12956291 19609638 19821962 19882626 21406046 25912582 29732943 32109069 38868873 59465886 62097187 64218138 75170279 77737746 124194374 150340558 186291561 188308639 225510837 227952563 246169529 372583122 376617278 451021674 455905126 492339058 564925917 683857689 738508587 1129851834 1367715378 1428235301 1477017174 2856470602 4271632811 4284705903 4331098697 8543265622 8569411806 8662197394 12814898433 12993296091 25629796866 25986592182 81161023409 98247554653 162322046818 196495109306 243483070227 294742663959 486966140454 589485327918 1866703538407 3733407076814 5600110615221 11200221230442