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10023233031 = 3371767101461
BaseRepresentation
bin10010101010110111…
…00110011000000111
3221212112110222212000
421111123212120013
5131011421424111
64334332400343
7503246034510
oct112533463007
927775428760
1010023233031
114283943369
121b389160b3
13c39763326
146b128da07
153d9e4bc56
hex2556e6607

10023233031 has 128 divisors (see below), whose sum is σ = 18457528320. Its totient is φ = 5246208000.

The previous prime is 10023233027. The next prime is 10023233041. The reversal of 10023233031 is 13033232001.

10023233031 is a `hidden beast` number, since 100 + 232 + 330 + 3 + 1 = 666.

10023233031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10023233031 - 22 = 10023233027 is a prime.

It is a super-2 number, since 2×100232330312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023232995 and 10023233013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023233041) 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 127 ways as a sum of consecutive naturals, for example, 21742141 + ... + 21742601.

It is an arithmetic number, because the mean of its divisors is an integer number (144199440).

Almost surely, 210023233031 is an apocalyptic number.

10023233031 is a deficient number, since it is larger than the sum of its proper divisors (8434295289).

10023233031 is a wasteful number, since it uses less digits than its factorization.

10023233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10023233031 its reverse (13033232001), we get a palindrome (23056465032).

The spelling of 10023233031 in words is "ten billion, twenty-three million, two hundred thirty-three thousand, thirty-one".

Divisors: 1 3 7 9 17 21 27 51 63 67 101 119 153 189 201 303 357 459 461 469 603 707 909 1071 1139 1383 1407 1717 1809 2121 2727 3213 3227 3417 4149 4221 5151 6363 6767 7837 7973 9681 10251 12019 12447 12663 15453 19089 20301 23511 23919 29043 30753 30887 36057 46359 46561 47369 54859 60903 70533 71757 87129 92661 108171 115039 139683 142107 164577 182709 211599 215271 216209 277983 324513 325927 345117 419049 426321 493731 525079 648627 791537 805273 833949 977781 1035351 1257147 1278963 1481193 1575237 1945881 2374611 2415819 2933343 3106053 3119587 3675553 4725711 5540759 5837643 7123833 7247457 8800029 9358761 11026659 14177133 16622277 21371499 21742371 21837109 28076283 33079977 49866831 53032979 65511327 84228849 99239931 149600493 159098937 196533981 371230853 477296811 589601943 1113692559 1431890433 3341077677 10023233031