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11330321031003 = 313291091371574273
BaseRepresentation
bin1010010011100000101111…
…0000101001111101011011
31111010011112112221200011210
42210320023300221331123
52441113444140443003
640033024433354203
72246405626466202
oct244701360517533
944104475850153
1011330321031003
113679186928617
12132ba85708963
136425a1c9a310
142b256760c239
15149adac57503
hexa4e0bc29f5b

11330321031003 has 128 divisors (see below), whose sum is σ = 17221566700800. Its totient is φ = 6577907761152.

The previous prime is 11330321030971. The next prime is 11330321031013. The reversal of 11330321031003 is 30013012303311.

It is not a de Polignac number, because 11330321031003 - 25 = 11330321030971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11330321031013) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2651605875 + ... + 2651610147.

It is an arithmetic number, because the mean of its divisors is an integer number (134543489850).

Almost surely, 211330321031003 is an apocalyptic number.

11330321031003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11330321031003 is a deficient number, since it is larger than the sum of its proper divisors (5891245669797).

11330321031003 is a wasteful number, since it uses less digits than its factorization.

11330321031003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 11330321031003 its reverse (30013012303311), we get a palindrome (41343333334314).

The spelling of 11330321031003 in words is "eleven trillion, three hundred thirty billion, three hundred twenty-one million, thirty-one thousand, three".

Divisors: 1 3 13 29 39 87 109 137 157 327 377 411 471 1131 1417 1781 2041 3161 3973 4251 4273 4553 5343 6123 9483 11919 12819 13659 14933 17113 21509 41093 44799 51339 51649 55549 59189 64527 123279 123917 154947 166647 177567 194129 222469 279617 371751 433057 465757 496277 582387 585401 623761 667407 670861 838851 1299171 1397271 1488831 1610921 1756203 1871283 2012583 2344481 4832763 5629741 6054841 6451601 7033443 7610213 8108893 8721193 13506953 16889223 16976629 18164523 19354803 19454969 22830639 24326679 26163579 30478253 40520859 50929887 58364907 63808709 67989949 73123849 91434759 91907957 175590389 191426127 203969847 219371547 220696177 252914597 275723871 526771167 662088531 758743791 829513217 883869337 950610037 1194803441 1850452561 2120591621 2488539651 2651608011 2665330753 2851830111 3584410323 5551357683 6361774863 7995992259 10017967313 24055883293 27567691073 30053901939 34649299789 72167649879 82703073219 103947899367 130233575069 290521052077 390700725207 871563156231 3776773677001 11330321031003