Search a number
-
+
10024402110 = 2352331661709
BaseRepresentation
bin10010101011000000…
…00011110010111110
3221212121200101112020
421111200003302332
5131012221331420
64334413421010
7503262004062
oct112540036276
927777611466
1010024402110
114284571748
121b3919a766
13c39a824a8
146b14b5aa2
153da0cd340
hex255803cbe

10024402110 has 128 divisors (see below), whose sum is σ = 25990225920. Its totient is φ = 2467238400.

The previous prime is 10024402081. The next prime is 10024402159. The reversal of 10024402110 is 1120442001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10024402110.

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, 14138436 + ... + 14139144.

It is an arithmetic number, because the mean of its divisors is an integer number (203048640).

Almost surely, 210024402110 is an apocalyptic number.

10024402110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024402110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12995112960).

10024402110 is an abundant number, since it is smaller than the sum of its proper divisors (15965823810).

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

10024402110 is a wasteful number, since it uses less digits than its factorization.

10024402110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434.

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

Adding to 10024402110 its reverse (1120442001), we get a palindrome (11144844111).

The spelling of 10024402110 in words is "ten billion, twenty-four million, four hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 186 230 310 345 465 661 690 709 713 930 1322 1418 1426 1983 2127 2139 3305 3545 3565 3966 4254 4278 6610 7090 7130 9915 10635 10695 15203 16307 19830 20491 21270 21390 21979 30406 32614 40982 43958 45609 48921 61473 65937 76015 81535 91218 97842 102455 109895 122946 131874 152030 163070 204910 219790 228045 244605 307365 329685 456090 468649 471293 489210 505517 614730 659370 937298 942586 1011034 1405947 1413879 1516551 2343245 2356465 2527585 2811894 2827758 3033102 4686490 4712930 5055170 7029735 7069395 7582755 10778927 14059470 14138790 14528119 15165510 21557854 29056238 32336781 43584357 53894635 64673562 72640595 87168714 107789270 145281190 161683905 217921785 323367810 334146737 435843570 668293474 1002440211 1670733685 2004880422 3341467370 5012201055 10024402110