Search a number
-
+
2100310300000 = 2555111909373
BaseRepresentation
bin11110100100000100001…
…111111101010101100000
321102210021020101001210101
4132210010033331111200
5233402413414100000
64244511430512144
7304512434662213
oct36440417752540
97383236331711
102100310300000
1173a811455970
1229b079805654
1312309b439b83
1473926c0577a
15399795ace6a
hex1e9043fd560

2100310300000 has 144 divisors (see below), whose sum is σ = 5638259222064. Its totient is φ = 763748800000.

The previous prime is 2100310299947. The next prime is 2100310300007. The reversal of 2100310300000 is 30130012.

It is a super-2 number, since 2×21003103000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2100310300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100310300007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145314 + ... + 2054686.

It is an arithmetic number, because the mean of its divisors is an integer number (39154577931).

Almost surely, 22100310300000 is an apocalyptic number.

2100310300000 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 2100310300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819129611032).

2100310300000 is an abundant number, since it is smaller than the sum of its proper divisors (3537948922064).

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

2100310300000 is an equidigital number, since it uses as much as digits as its factorization.

2100310300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909419 (or 1909391 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 2100310300000 its reverse (30130012), we get a palindrome (2100340430012).

The spelling of 2100310300000 in words is "two trillion, one hundred billion, three hundred ten million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 220000 275000 550000 1100000 1909373 3818746 7637492 9546865 15274984 19093730 21003103 30549968 38187460 42006206 47734325 61099936 76374920 84012412 95468650 105015515 152749840 168024824 190937300 210031030 238671625 305499680 336049648 381874600 420062060 477343250 525077575 672099296 763749200 840124120 954686500 1050155150 1193358125 1527498400 1680248240 1909373000 2100310300 2386716250 2625387875 3360496480 3818746000 4200620600 4773432500 5250775750 5966790625 7637492000 8401241200 9546865000 10501551500 11933581250 13126939375 16802482400 19093730000 21003103000 23867162500 26253878750 38187460000 42006206000 47734325000 52507757500 65634696875 84012412000 95468650000 105015515000 131269393750 190937300000 210031030000 262538787500 420062060000 525077575000 1050155150000 2100310300000