Search a number
-
+
102324123421101 = 32677310343352121
BaseRepresentation
bin10111010001000000110001…
…000001110100100110101101
3111102022002110002120011121200
4113101000301001310212231
5101402434301043433401
61001343015305320113
730360450111233511
oct2721006101644655
9442262402504550
10102324123421101
112a6704650a560a
12b587125a96039
13451317b25938a
141b3a72a5aa141
15bc6a42bcb686
hex5d10310749ad

102324123421101 has 96 divisors (see below), whose sum is σ = 153896281174272. Its totient is φ = 65481106268160.

The previous prime is 102324123421061. The next prime is 102324123421129. The reversal of 102324123421101 is 101124321423201.

102324123421101 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 2 + 412 + 34 + 211 + 0 + 1 = 666.

It is not a de Polignac number, because 102324123421101 - 229 = 102323586550189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102324123421151) 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, 1963177321 + ... + 1963229441.

It is an arithmetic number, because the mean of its divisors is an integer number (1603086262232).

Almost surely, 2102324123421101 is an apocalyptic number.

It is an amenable number.

102324123421101 is a deficient number, since it is larger than the sum of its proper divisors (51572157753171).

102324123421101 is a wasteful number, since it uses less digits than its factorization.

102324123421101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52803 (or 52800 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 102324123421101 its reverse (101124321423201), we get a palindrome (203448444844302).

The spelling of 102324123421101 in words is "one hundred two trillion, three hundred twenty-four billion, one hundred twenty-three million, four hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 67 73 103 201 219 309 433 603 657 927 1299 3897 4891 6901 7519 14673 20703 22557 29011 31609 44019 44599 52121 62109 67671 87033 94827 133797 156363 261099 284481 401391 469089 503773 1511319 2117803 2988133 3255727 3492107 3804833 4533957 5368463 6353409 8964399 9767181 10476321 11414499 16105389 19060227 22568393 26893197 29301543 31428963 34243497 48316167 67705179 203115537 218133709 254923811 359687021 391897799 654401127 764771433 1079061063 1175693397 1512082331 1647492689 1963203381 2294314299 2324544479 3237183189 3527080191 4536246993 4942478067 6973633437 13608740979 14827434201 20920900311 26257152533 78771457599 110382010163 155744480093 169691746967 236314372797 331146030489 467233440279 509075240901 993438091467 1401700320837 1527225722703 11369347046789 34108041140367 102324123421101