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10000231211000 = 235329361395443
BaseRepresentation
bin1001000110000101110000…
…1110101001111111111000
31022102000100022021222200202
42101201130032221333320
52302320433142223000
633134013124421332
72051331023532662
oct221413416517770
938360308258622
1010000231211000
11320608a8a4298
121156141247848
1357703001ca74
14268029b17532
151251e03b4dd5
hex9185c3a9ff8

10000231211000 has 128 divisors (see below), whose sum is σ = 24214410043200. Its totient is φ = 3861048844800.

The previous prime is 10000231210993. The next prime is 10000231211023. The reversal of 10000231211000 is 11213200001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104729279 + ... + 104824721.

Almost surely, 210000231211000 is an apocalyptic number.

10000231211000 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 10000231211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12107205021600).

10000231211000 is an abundant number, since it is smaller than the sum of its proper divisors (14214178832200).

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

10000231211000 is a wasteful number, since it uses less digits than its factorization.

10000231211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99106 (or 99092 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10000231211000 its reverse (11213200001), we get a palindrome (10011444411001).

The spelling of 10000231211000 in words is "ten trillion, two hundred thirty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3613 3625 5800 7226 7250 14452 14500 18065 28904 29000 36130 72260 90325 95443 104777 144520 180650 190886 209554 361300 381772 419108 451625 477215 523885 722600 763544 838216 903250 954430 1047770 1806500 1908860 2095540 2386075 2619425 2767847 3613000 3817720 4191080 4772150 5238850 5535694 9544300 10477700 11071388 11930375 13097125 13839235 19088600 20955400 22142776 23860750 26194250 27678470 47721500 52388500 55356940 69196175 95443000 104777000 110713880 138392350 276784700 344835559 345980875 553569400 689671118 691961750 1379342236 1383923500 1724177795 2758684472 2767847000 3448355590 6896711180 8620888975 10000231211 13793422360 17241777950 20000462422 34483555900 40000924844 43104444875 50001156055 68967111800 80001849688 86208889750 100002312110 172417779500 200004624220 250005780275 344835559000 400009248440 500011560550 1000023121100 1250028901375 2000046242200 2500057802750 5000115605500 10000231211000