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10013030021000 = 235337270622433
BaseRepresentation
bin1001000110110101011100…
…0110001111011110001000
31022110020101021111220100202
42101231113012033132020
52303023141141133000
633143531131351332
72052263134605566
oct221552706173610
938406337456322
1010013030021000
113210558453716
1211587135b2548
135782bc80b916
142688c1870a36
151256ddd24dd5
hex91b5718f788

10013030021000 has 64 divisors (see below), whose sum is σ = 24063746831280. Its totient is φ = 3896963020800.

The previous prime is 10013030020993. The next prime is 10013030021041. The reversal of 10013030021000 is 12003031001.

10013030021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 173277382756 + 9839752638244 = 416266^2 + 3136838^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135274217 + ... + 135348216.

Almost surely, 210013030021000 is an apocalyptic number.

10013030021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013030021000 is an abundant number, since it is smaller than the sum of its proper divisors (14050716810280).

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

10013030021000 is a wasteful number, since it uses less digits than its factorization.

10013030021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270622491 (or 270622477 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10013030021000 its reverse (12003031001), we get a palindrome (10025033052001).

The spelling of 10013030021000 in words is "ten trillion, thirteen billion, thirty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 3700 4625 7400 9250 18500 37000 270622433 541244866 1082489732 1353112165 2164979464 2706224330 5412448660 6765560825 10013030021 10824897320 13531121650 20026060042 27062243300 33827804125 40052120084 50065150105 54124486600 67655608250 80104240168 100130300210 135311216500 200260600420 250325750525 270622433000 400521200840 500651501050 1001303002100 1251628752625 2002606004200 2503257505250 5006515010500 10013030021000