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10024210014 = 23713235315061
BaseRepresentation
bin10010101010111110…
…10100111001011110
3221212121022122000120
421111133110321132
5131012144210024
64334405335410
7503260244040
oct112537247136
927777278016
1010024210014
114284450395
121b39107566
13c39a15c20
146b1465a90
153da091479
hex2557d4e5e

10024210014 has 128 divisors (see below), whose sum is σ = 26235353088. Its totient is φ = 2480924160.

The previous prime is 10024209989. The next prime is 10024210043. The reversal of 10024210014 is 41001242001.

It is a junction number, because it is equal to n+sod(n) for n = 10024209975 and 10024210002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658044 + ... + 673104.

It is an arithmetic number, because the mean of its divisors is an integer number (204963696).

Almost surely, 210024210014 is an apocalyptic number.

10024210014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024210014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117676544).

10024210014 is an abundant number, since it is smaller than the sum of its proper divisors (16211143074).

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

10024210014 is a wasteful number, since it uses less digits than its factorization.

10024210014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15162.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10024210014 its reverse (41001242001), we get a palindrome (51025452015).

The spelling of 10024210014 in words is "ten billion, twenty-four million, two hundred ten thousand, fourteen".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 53 69 78 91 106 138 159 161 182 273 299 318 322 371 483 546 598 689 742 897 966 1113 1219 1378 1794 2067 2093 2226 2438 3657 4134 4186 4823 6279 7314 8533 9646 12558 14469 15061 15847 17066 25599 28938 30122 31694 45183 47541 51198 90366 95082 105427 110929 195793 210854 221858 316281 332787 346403 391586 587379 632562 665574 692806 798233 1039209 1174758 1370551 1596466 2078418 2394699 2424821 2741102 4111653 4503239 4789398 4849642 5587631 7274463 8223306 9006478 10377029 11175262 13509717 14548926 16762893 18359359 20754058 27019434 31131087 31522673 33525786 36718718 55078077 62262174 63045346 72639203 94568019 110156154 128515513 145278406 189136038 217917609 238671667 257031026 385546539 435835218 477343334 716015001 771093078 1432030002 1670701669 3341403338 5012105007 10024210014