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1024430231000 = 235311432721523
BaseRepresentation
bin11101110100001001100…
…11001100110111011000
310121221020022012202011102
432322010303030313120
5113241013114343000
62102341115050532
7134004223201211
oct16720463146730
93557208182142
101024430231000
11365505182050
1214665b740a48
13757ac75c627
1437822c76408
151b9ab3dd3d5
hexee84cccdd8

1024430231000 has 128 divisors (see below), whose sum is σ = 2615816885760. Its totient is φ = 372416688000.

The previous prime is 1024430230961. The next prime is 1024430231047. The reversal of 1024430231000 is 1320344201.

It is a super-2 number, since 2×10244302310002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47586239 + ... + 47607761.

It is an arithmetic number, because the mean of its divisors is an integer number (20436069420).

Almost surely, 21024430231000 is an apocalyptic number.

1024430231000 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 1024430231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307908442880).

1024430231000 is an abundant number, since it is smaller than the sum of its proper divisors (1591386654760).

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

1024430231000 is a wasteful number, since it uses less digits than its factorization.

1024430231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25882 (or 25868 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1024430231000 its reverse (1320344201), we get a palindrome (1025750575201).

The spelling of 1024430231000 in words is "one trillion, twenty-four billion, four hundred thirty million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 4327 5500 8654 11000 17308 21523 21635 34616 43046 43270 47597 86092 86540 95194 107615 108175 172184 173080 190388 215230 216350 236753 237985 380776 430460 432700 473506 475970 538075 540875 860920 865400 947012 951940 1076150 1081750 1183765 1189925 1894024 1903880 2152300 2163500 2367530 2379850 2690375 4304600 4327000 4735060 4759700 5380750 5918825 5949625 9470120 9519400 10761500 11837650 11899250 21523000 23675300 23798500 29594125 47350600 47597000 59188250 93130021 118376500 186260042 236753000 372520084 465650105 745040168 931300210 1024430231 1862600420 2048860462 2328250525 3725200840 4097720924 4656501050 5122151155 8195441848 9313002100 10244302310 11641252625 18626004200 20488604620 23282505250 25610755775 40977209240 46565010500 51221511550 93130021000 102443023100 128053778875 204886046200 256107557750 512215115500 1024430231000