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10024134114 = 23192343671327
BaseRepresentation
bin10010101010111110…
…00010010111100010
3221212121011202220110
421111133002113202
5131012134242424
64334403552150
7503256506541
oct112537022742
927777152813
1010024134114
1142843a9365
121b3908b656
13c399ba507
146b1446158
153da078c29
hex2557c25e2

10024134114 has 128 divisors (see below), whose sum is σ = 22886645760. Its totient is φ = 2911132224.

The previous prime is 10024134089. The next prime is 10024134119. The reversal of 10024134114 is 41143142001.

10024134114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10024134119) 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 63 ways as a sum of consecutive naturals, for example, 7553319 + ... + 7554645.

It is an arithmetic number, because the mean of its divisors is an integer number (178801920).

Almost surely, 210024134114 is an apocalyptic number.

10024134114 is an abundant number, since it is smaller than the sum of its proper divisors (12862511646).

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

10024134114 is a wasteful number, since it uses less digits than its factorization.

10024134114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10024134114 its reverse (41143142001), we get a palindrome (51167276115).

The spelling of 10024134114 in words is "ten billion, twenty-four million, one hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 19 23 38 43 46 57 67 69 86 114 129 134 138 201 258 402 437 817 874 989 1273 1311 1327 1541 1634 1978 2451 2546 2622 2654 2881 2967 3082 3819 3981 4623 4902 5762 5934 7638 7962 8643 9246 17286 18791 25213 29279 30521 37582 50426 54739 56373 57061 58558 61042 66263 75639 87837 88909 91563 109478 112746 114122 132526 151278 164217 171183 175674 177818 183126 198789 266727 328434 342366 397578 533454 579899 1084159 1159798 1258997 1312403 1689271 1739697 2044907 2168318 2517994 2624806 3252477 3378542 3479394 3776991 3823087 3937209 4089814 5067813 6134721 6504954 7553982 7646174 7874418 10135626 11469261 12269442 22938522 24935657 38853233 49871314 72638653 74806971 77706466 87931001 116559699 145277306 149613942 175862002 217915959 233119398 263793003 435831918 527586006 1670689019 3341378038 5012067057 10024134114