Search a number
-
+
103311233103221 = 111317732417573191
BaseRepresentation
bin10111011111011000000101…
…010110011011010101110101
3111112210110100110120121012222
4113133120011112123111311
5102020122401133300341
61003420305243452125
730521663444134043
oct2737300526332565
9445713313517188
10103311233103221
112aa1105884a930
12b7064aab27045
134585290aa6990
141b7240ca79393
15be256795944b
hex5df60559b575

103311233103221 has 128 divisors (see below), whose sum is σ = 131027049280512. Its totient is φ = 80012427264000.

The previous prime is 103311233103193. The next prime is 103311233103241. The reversal of 103311233103221 is 122301332113301.

It is not a de Polignac number, because 103311233103221 - 226 = 103311165994357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311233103241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32375815736 + ... + 32375818926.

It is an arithmetic number, because the mean of its divisors is an integer number (1023648822504).

Almost surely, 2103311233103221 is an apocalyptic number.

103311233103221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103311233103221 is a deficient number, since it is larger than the sum of its proper divisors (27715816177291).

103311233103221 is a wasteful number, since it uses less digits than its factorization.

103311233103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 103311233103221 its reverse (122301332113301), we get a palindrome (225612565216522).

The spelling of 103311233103221 in words is "one hundred three trillion, three hundred eleven billion, two hundred thirty-three million, one hundred three thousand, two hundred twenty-one".

Divisors: 1 11 13 17 73 143 187 221 241 757 803 949 1241 2431 2651 3133 3191 4097 8327 9841 10439 12869 13651 16133 17593 34463 35101 41483 45067 53261 54247 55261 108251 141559 167297 177463 182437 193523 228709 232943 299081 456313 585871 596717 607871 705211 718393 769031 939437 1840267 2006807 2371681 2415587 2515799 2562373 3028259 3101429 3289891 3888053 3960031 7757321 7902323 8459341 9997403 10333807 12212681 13073527 13317901 26088491 26571457 31402631 33310849 34115719 40318577 41064979 42768583 43560341 51480403 56139263 109971433 134339491 143808797 146496911 169955851 173132713 176337851 226404317 345428941 443504347 451714769 533844727 566284433 582156467 617531893 729810419 954367471 1869514361 1904459843 1939716361 2292392063 2490447487 2943256121 2997743467 5872291997 6403721137 7568034071 8027914609 9896659939 10498042181 12406777123 25216312693 32375817331 32975178137 38970665071 42497422091 83248374781 108863259329 128656579207 136474548353 428677315781 467471643001 552466487183 722456175547 1415222371277 6077131359013 7947017931017 9391930282111 103311233103221