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2102030311400 = 2352312179155593
BaseRepresentation
bin11110100101101010110…
…001010001111111101000
321102221201002212200212022
4132211222301101333220
5233414424224431100
64245354232404012
7304603161561545
oct36455261217750
97387632780768
102102030311400
11740514346998
1229b479846608
131232b38a1ab6
1473a4b419bcc
1539a2a5b5e85
hex1e96ac51fe8

2102030311400 has 96 divisors (see below), whose sum is σ = 5047220409600. Its totient is φ = 813310502400.

The previous prime is 2102030311397. The next prime is 2102030311463. The reversal of 2102030311400 is 41130302012.

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 23 ways as a sum of consecutive naturals, for example, 13432004 + ... + 13587596.

It is an arithmetic number, because the mean of its divisors is an integer number (52575212600).

Almost surely, 22102030311400 is an apocalyptic number.

2102030311400 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 2102030311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523610204800).

2102030311400 is an abundant number, since it is smaller than the sum of its proper divisors (2945190098200).

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

2102030311400 is a wasteful number, since it uses less digits than its factorization.

2102030311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157819 (or 157810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2102030311400 its reverse (41130302012), we get a palindrome (2143160613412).

The spelling of 2102030311400 in words is "two trillion, one hundred two billion, thirty million, three hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1240 1550 2179 3100 4358 6200 8716 10895 17432 21790 43580 54475 67549 87160 108950 135098 155593 217900 270196 311186 337745 435800 540392 622372 675490 777965 1244744 1350980 1555930 1688725 2701960 3111860 3377450 3889825 4823383 6223720 6754900 7779650 9646766 13509800 15559300 19293532 24116915 31118600 38587064 48233830 96467660 120584575 192935320 241169150 339037147 482338300 678074294 964676600 1356148588 1695185735 2712297176 3390371470 6780742940 8475928675 10510151557 13561485880 16951857350 21020303114 33903714700 42040606228 52550757785 67807429400 84081212456 105101515570 210203031140 262753788925 420406062280 525507577850 1051015155700 2102030311400