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10231310231000 = 235371503286487
BaseRepresentation
bin1001010011100010100110…
…0111001010010111011000
31100020002210121020110201222
42110320221213022113120
52320112210404343000
633432110554031212
72104121256021515
oct224705147122730
940202717213658
1010231310231000
11329508a994191
121192a91118508
13592a6811a4b1
142752ab68030c
1512b217052a85
hex94e299ca5d8

10231310231000 has 128 divisors (see below), whose sum is σ = 24326819112960. Its totient is φ = 4026847216000.

The previous prime is 10231310230979. The next prime is 10231310231011. The reversal of 10231310231000 is 13201313201.

It is a super-3 number, since 3×102313102310003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10231310231000.

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, 35569757 + ... + 35856243.

It is an arithmetic number, because the mean of its divisors is an integer number (190053274320).

Almost surely, 210231310231000 is an apocalyptic number.

10231310231000 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 10231310231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163409556480).

10231310231000 is an abundant number, since it is smaller than the sum of its proper divisors (14095508881960).

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

10231310231000 is a wasteful number, since it uses less digits than its factorization.

10231310231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287082 (or 287068 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10231310231000 its reverse (13201313201), we get a palindrome (10244511544201).

The spelling of 10231310231000 in words is "ten trillion, two hundred thirty-one billion, three hundred ten million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 200 250 284 355 500 503 568 710 1000 1006 1420 1775 2012 2515 2840 3550 4024 5030 7100 8875 10060 12575 14200 17750 20120 25150 35500 35713 50300 62875 71000 71426 100600 125750 142852 178565 251500 285704 286487 357130 503000 572974 714260 892825 1145948 1428520 1432435 1785650 2291896 2864870 3571300 4464125 5729740 7142600 7162175 8928250 11459480 14324350 17856500 20340577 28648700 35713000 35810875 40681154 57297400 71621750 81362308 101702885 143243500 144102961 162724616 203405770 286487000 288205922 406811540 508514425 576411844 720514805 813623080 1017028850 1152823688 1441029610 2034057700 2542572125 2882059220 3602574025 4068115400 5085144250 5764118440 7205148050 10170288500 10231310231 14410296100 18012870125 20340577000 20462620462 28820592200 36025740250 40925240924 51156551155 72051480500 81850481848 102313102310 144102961000 204626204620 255782755775 409252409240 511565511550 1023131023100 1278913778875 2046262046200 2557827557750 5115655115500 10231310231000