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102023012024 = 23312109211577
BaseRepresentation
bin101111100000100001…
…0111001111010111000
3100202100011022000000222
41133001002321322320
53132420342341044
6114511351115212
710241140202513
oct1370102717270
9322304260028
10102023012024
113a2a436aa6a
1217933372b08
13980b98318b
144d1b9c9d7a
1529c1b458ee
hex17c10b9eb8

102023012024 has 96 divisors (see below), whose sum is σ = 200769109200. Its totient is φ = 48596889600.

The previous prime is 102023011991. The next prime is 102023012029. The reversal of 102023012024 is 420210320201.

It is a super-3 number, since 3×1020230120243 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102023011993 and 102023012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102023012029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176816024 + ... + 176816600.

Almost surely, 2102023012024 is an apocalyptic number.

It is an amenable number.

102023012024 is a deficient number, since it is larger than the sum of its proper divisors (98746097176).

102023012024 is a wasteful number, since it uses less digits than its factorization.

102023012024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102023012024 its reverse (420210320201), we get a palindrome (522233332225).

The spelling of 102023012024 in words is "one hundred two billion, twenty-three million, twelve thousand, twenty-four".

Divisors: 1 2 4 8 31 62 109 124 211 218 248 422 436 577 844 872 961 1154 1688 1922 2308 3379 3844 4616 6541 6758 7688 13082 13516 17887 22999 26164 27032 35774 45998 52328 62893 71548 91996 104749 121747 125786 143096 183992 202771 209498 243494 251572 405542 418996 486988 503144 554497 712969 811084 837992 973976 1108994 1425938 1622168 1949683 2217988 2851876 3774157 3899366 4435976 5703752 7548314 7798732 13270423 15096628 15597464 22102039 26540846 30193256 44204078 53081692 60440173 88408156 106163384 116998867 120880346 176816312 233997734 241760692 411383113 467995468 483521384 822766226 935990936 1645532452 3291064904 12752876503 25505753006 51011506012 102023012024