Search a number
-
+
211326376000 = 265340036599
BaseRepresentation
bin1100010011010000001…
…0001001100001000000
3202012110200212012102211
43010310002021201000
511430244023013000
6241025413351504
721160602362245
oct3046402114100
9665420765384
10211326376000
1181694259123
1234b58938594
1316c0aa4abcc
14a32a46d5cc
15576c9d27ba
hex3134089840

211326376000 has 112 divisors (see below), whose sum is σ = 523559836800. Its totient is φ = 84496627200.

The previous prime is 211326375991. The next prime is 211326376021. The reversal of 211326376000 is 673623112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32020701 + ... + 32027299.

It is an arithmetic number, because the mean of its divisors is an integer number (4674641400).

Almost surely, 2211326376000 is an apocalyptic number.

211326376000 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 211326376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261779918400).

211326376000 is an abundant number, since it is smaller than the sum of its proper divisors (312233460800).

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

211326376000 is an equidigital number, since it uses as much as digits as its factorization.

211326376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10629 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 211326376000 its reverse (673623112), we get a palindrome (211999999112).

The spelling of 211326376000 in words is "two hundred eleven billion, three hundred twenty-six million, three hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 4003 6599 8000 8006 13198 16012 20015 26396 32024 32995 40030 52792 64048 65990 80060 100075 105584 128096 131980 160120 164975 200150 211168 256192 263960 320240 329950 400300 422336 500375 527920 640480 659900 800600 824875 1000750 1055840 1280960 1319800 1601200 1649750 2001500 2111680 2639600 3202400 3299500 4003000 5279200 6404800 6599000 8006000 10558400 13198000 16012000 26396000 26415797 32024000 52792000 52831594 105663188 132078985 211326376 264157970 422652752 528315940 660394925 845305504 1056631880 1320789850 1690611008 2113263760 2641579700 3301974625 4226527520 5283159400 6603949250 8453055040 10566318800 13207898500 21132637600 26415797000 42265275200 52831594000 105663188000 211326376000