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20013001000 = 2353131227673
BaseRepresentation
bin10010101000110111…
…100010100100101000
31220122201222210021021
4102220313202210220
5311441312013000
613105512022224
71305640462456
oct225067424450
956581883237
1020013001000
11853a8a9953
123a66391974
131b6c2aa435
14d7bd0b9d6
157c1e8811a
hex4a8de2928

20013001000 has 128 divisors (see below), whose sum is σ = 47466207360. Its totient is φ = 7897344000.

The previous prime is 20013000991. The next prime is 20013001031. The reversal of 20013001000 is 10031002.

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, 29736664 + ... + 29737336.

It is an arithmetic number, because the mean of its divisors is an integer number (370829745).

Almost surely, 220013001000 is an apocalyptic number.

20013001000 is a gapful number since it is divisible by the number (20) 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 20013001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23733103680).

20013001000 is an abundant number, since it is smaller than the sum of its proper divisors (27453206360).

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

20013001000 is a wasteful number, since it uses less digits than its factorization.

20013001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 20013001000 its reverse (10031002), we get a palindrome (20023032002).

The spelling of 20013001000 in words is "twenty billion, thirteen million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 227 250 262 454 500 524 655 673 908 1000 1048 1135 1310 1346 1816 2270 2620 2692 3275 3365 4540 5240 5384 5675 6550 6730 9080 11350 13100 13460 16375 16825 22700 26200 26920 28375 29737 32750 33650 45400 56750 59474 65500 67300 84125 88163 113500 118948 131000 134600 148685 152771 168250 176326 227000 237896 297370 305542 336500 352652 440815 594740 611084 673000 705304 743425 763855 881630 1189480 1222168 1486850 1527710 1763260 2204075 2973700 3055420 3526520 3717125 3819275 4408150 5947400 6110840 7434250 7638550 8816300 11020375 14868500 15277100 17632600 19096375 20013001 22040750 29737000 30554200 38192750 40026002 44081500 76385500 80052004 88163000 100065005 152771000 160104008 200130010 400260020 500325025 800520040 1000650050 2001300100 2501625125 4002600200 5003250250 10006500500 20013001000