Search a number
-
+
211100404320 = 253251390712433
BaseRepresentation
bin1100010010011010010…
…0001000101001100000
3202011212221122122120100
43010212210020221200
511424313200414240
6240551142142400
721152156554551
oct3044644105140
9664787578510
10211100404320
1181588747273
1234ab5121a00
1316ba2c9c360
14a30844a328
155757c47e30
hex3126908a60

211100404320 has 288 divisors, whose sum is σ = 776711793312. Its totient is φ = 51901710336.

The previous prime is 211100404289. The next prime is 211100404351. The reversal of 211100404320 is 23404001112.

It is an interprime number because it is at equal distance from previous prime (211100404289) and next prime (211100404351).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211100404293 and 211100404302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16972824 + ... + 16985256.

It is an arithmetic number, because the mean of its divisors is an integer number (2696915949).

Almost surely, 2211100404320 is an apocalyptic number.

211100404320 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 211100404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388355896656).

211100404320 is an abundant number, since it is smaller than the sum of its proper divisors (565611388992).

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

211100404320 is a wasteful number, since it uses less digits than its factorization.

211100404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13374 (or 13363 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211100404320 its reverse (23404001112), we get a palindrome (234504405432).

The spelling of 211100404320 in words is "two hundred eleven billion, one hundred million, four hundred four thousand, three hundred twenty".