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102110304024 = 23331773380929
BaseRepresentation
bin101111100011000111…
…1111001011100011000
3100202120020112220011000
41133012033321130120
53133110214212044
6114524150105000
710243250156241
oct1370617713430
9322506486130
10102110304024
113a339671813
121795864b160
139823a97651
144d2942dcc8
1529c9639d69
hex17c63f9718

102110304024 has 128 divisors (see below), whose sum is σ = 304439256000. Its totient is φ = 31595692032.

The previous prime is 102110303993. The next prime is 102110304031. The reversal of 102110304024 is 420403011201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102110303988 and 102110304006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77592 + ... + 458520.

Almost surely, 2102110304024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110304024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152219628000).

102110304024 is an abundant number, since it is smaller than the sum of its proper divisors (202328951976).

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

102110304024 is a wasteful number, since it uses less digits than its factorization.

102110304024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381034 (or 381024 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102110304024 its reverse (420403011201), we get a palindrome (522513315225).

The spelling of 102110304024 in words is "one hundred two billion, one hundred ten million, three hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 73 102 108 136 146 153 204 216 219 292 306 408 438 459 584 612 657 876 918 1224 1241 1314 1752 1836 1971 2482 2628 3672 3723 3942 4964 5256 7446 7884 9928 11169 14892 15768 22338 29784 33507 44676 67014 89352 134028 268056 380929 761858 1142787 1523716 2285574 3047432 3428361 4571148 6475793 6856722 9142296 10285083 12951586 13713444 19427379 20570166 25903172 27426888 27807817 38854758 41140332 51806344 55615634 58282137 77709516 82280664 83423451 111231268 116564274 155419032 166846902 174846411 222462536 233128548 250270353 333693804 349692822 466257096 472732889 500540706 667387608 699385644 750811059 945465778 1001081412 1398771288 1418198667 1501622118 1890931556 2002162824 2836397334 3003244236 3781863112 4254596001 5672794668 6006488472 8509192002 11345589336 12763788003 17018384004 25527576006 34036768008 51055152012 102110304024