Search a number
-
+
10024431000 = 233534217937
BaseRepresentation
bin10010101011000000…
…01010110110011000
3221212121201212011020
421111200022312120
5131012223243000
64334414202440
7503262154233
oct112540126630
927777655136
1010024431000
114284591421
121b391b3420
13c39a9269c
146b14c241a
153da0d6ba0
hex25580ad98

10024431000 has 128 divisors (see below), whose sum is σ = 31354464960. Its totient is φ = 2666496000.

The previous prime is 10024430959. The next prime is 10024431007. The reversal of 10024431000 is 13442001.

It is a super-2 number, since 2×100244310002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024431007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1259032 + ... + 1266968.

Almost surely, 210024431000 is an apocalyptic number.

10024431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15677232480).

10024431000 is an abundant number, since it is smaller than the sum of its proper divisors (21330033960).

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

10024431000 is a wasteful number, since it uses less digits than its factorization.

10024431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8382 (or 8368 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10024431000 its reverse (13442001), we get a palindrome (10037873001).

The spelling of 10024431000 in words is "ten billion, twenty-four million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 421 500 600 750 842 1000 1263 1500 1684 2105 2526 3000 3368 4210 5052 6315 7937 8420 10104 10525 12630 15874 16840 21050 23811 25260 31575 31748 39685 42100 47622 50520 52625 63150 63496 79370 84200 95244 105250 119055 126300 157875 158740 190488 198425 210500 238110 252600 315750 317480 396850 421000 476220 595275 631500 793700 952440 992125 1190550 1263000 1587400 1984250 2381100 2976375 3341477 3968500 4762200 5952750 6682954 7937000 10024431 11905500 13365908 16707385 20048862 23811000 26731816 33414770 40097724 50122155 66829540 80195448 83536925 100244310 133659080 167073850 200488620 250610775 334147700 400977240 417684625 501221550 668295400 835369250 1002443100 1253053875 1670738500 2004886200 2506107750 3341477000 5012215500 10024431000