Search a number
-
+
3201001310100 = 2235211970000397
BaseRepresentation
bin101110100101001010100…
…010111100011110010100
3102100000100021200210011210
4232211022202330132110
5404421122313410400
610450304131101420
7450156540126366
oct56451242743624
912300307623153
103201001310100
11102459a875a90
12438460a41870
131a2b12427659
14b0d01d86d36
15583eaa57950
hex2e94a8bc794

3201001310100 has 72 divisors (see below), whose sum is σ = 10103524145568. Its totient is φ = 776000316800.

The previous prime is 3201001310063. The next prime is 3201001310147. The reversal of 3201001310100 is 10131001023.

3201001310100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484996899 + ... + 485003498.

It is an arithmetic number, because the mean of its divisors is an integer number (140326724244).

Almost surely, 23201001310100 is an apocalyptic number.

3201001310100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3201001310100 is an abundant number, since it is smaller than the sum of its proper divisors (6902522835468).

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

3201001310100 is a wasteful number, since it uses less digits than its factorization.

3201001310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970000425 (or 970000418 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 3201001310100 its reverse (10131001023), we get a palindrome (3211132311123).

The spelling of 3201001310100 in words is "three trillion, two hundred one billion, one million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 970000397 1940000794 2910001191 3880001588 4850001985 5820002382 9700003970 10670004367 11640004764 14550005955 19400007940 21340008734 24250009925 29100011910 32010013101 42680017468 48500019850 53350021835 58200023820 64020026202 72750029775 97000039700 106700043670 128040052404 145500059550 160050065505 213400087340 266750109175 291000119100 320100131010 533500218350 640200262020 800250327525 1067000436700 1600500655050 3201001310100