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103122121023 = 321731431034909
BaseRepresentation
bin110000000001010001…
…1101011000100111111
3100212011202110112010200
41200002203223010333
53142143230333043
6115212412534543
710310314365105
oct1400243530477
9325152415120
10103122121023
113a808826909
1217b9b481453
1399555b142c
144dc3975c75
152a383a27d3
hex18028eb13f

103122121023 has 96 divisors (see below), whose sum is σ = 168241582080. Its totient is φ = 60554511360.

The previous prime is 103122121001. The next prime is 103122121027. The reversal of 103122121023 is 320121221301.

It is not a de Polignac number, because 103122121023 - 210 = 103122119999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103122120987 and 103122121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103122121027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21004293 + ... + 21009201.

It is an arithmetic number, because the mean of its divisors is an integer number (1752516480).

Almost surely, 2103122121023 is an apocalyptic number.

103122121023 is a deficient number, since it is larger than the sum of its proper divisors (65119461057).

103122121023 is a wasteful number, since it uses less digits than its factorization.

103122121023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103122121023 its reverse (320121221301), we get a palindrome (423243342324).

The spelling of 103122121023 in words is "one hundred three billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty-three".

Divisors: 1 3 9 17 31 43 51 93 103 129 153 279 309 387 527 731 927 1333 1581 1751 2193 3193 3999 4429 4743 4909 5253 6579 9579 11997 13287 14727 15759 22661 28737 39861 44181 54281 67983 75293 83453 137299 152179 162843 203949 211087 225879 250359 411897 456537 488529 505627 633261 677637 751077 1235691 1369611 1516881 1899783 2334083 2587043 3588479 4550643 6543697 7002249 7761129 8595659 10765437 15674437 19631091 21006747 21741961 23283387 25786977 32296311 47023311 58893273 65225883 77360931 111242849 141069933 195677649 266465429 333728547 369613337 674000791 799396287 1001185641 1108840011 2022002373 2398188861 3326520033 6066007119 11458013447 34374040341 103122121023