Search a number
-
+
211321201202320 = 245119712731761493
BaseRepresentation
bin110000000011001000001101…
…001000011001010010010000
31000201020002221212000102200111
4300003020031020121102100
5210144241310001433240
62025235341501331104
762340311235624136
oct6003101510312220
91021202855012614
10211321201202320
11613738aaa45670
121b84b56a866a94
1390bb671a11c61
143a28001d47756
151966e3934a1ea
hexc0320d219490

211321201202320 has 320 divisors, whose sum is σ = 547507533275136. Its totient is φ = 75213787299840.

The previous prime is 211321201202273. The next prime is 211321201202389. The reversal of 211321201202320 is 23202102123112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211321201202291 and 211321201202300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3436477494 + ... + 3436538986.

Almost surely, 2211321201202320 is an apocalyptic number.

211321201202320 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 211321201202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273753766637568).

211321201202320 is an abundant number, since it is smaller than the sum of its proper divisors (336186332072816).

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

211321201202320 is a wasteful number, since it uses less digits than its factorization.

211321201202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62058 (or 62052 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211321201202320 its reverse (23202102123112), we get a palindrome (234523303325432).

The spelling of 211321201202320 in words is "two hundred eleven trillion, three hundred twenty-one billion, two hundred one million, two hundred two thousand, three hundred twenty".