Search a number
-
+
213023330032320 = 2635529367257399
BaseRepresentation
bin110000011011111001011011…
…111010100101101011000000
31000221020211110010201000200000
4300123321123322211223000
5210410133234442013240
62033021322233400000
762604266463150153
oct6033713372455300
91027224403630600
10213023330032320
116196a761329695
121ba85422269000
1391b30244bab42
143a865542c7c9a
15199635b9c8430
hexc1be5bea5ac0

213023330032320 has 672 divisors, whose sum is σ = 788195536128000. Its totient is φ = 54697725702144.

The previous prime is 213023330032319. The next prime is 213023330032321. The reversal of 213023330032320 is 23230033320312.

213023330032320 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 2 + 3 + 3 + 300 + 32 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (213023330032319) and next prime (213023330032321).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (213023330032321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 827470981 + ... + 827728379.

It is an arithmetic number, because the mean of its divisors is an integer number (1172910024000).

Almost surely, 2213023330032320 is an apocalyptic number.

213023330032320 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 213023330032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394097768064000).

213023330032320 is an abundant number, since it is smaller than the sum of its proper divisors (575172206095680).

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

213023330032320 is a wasteful number, since it uses less digits than its factorization.

213023330032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257827 (or 257805 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 213023330032320 its reverse (23230033320312), we get a palindrome (236253363352632).

The spelling of 213023330032320 in words is "two hundred thirteen trillion, twenty-three billion, three hundred thirty million, thirty-two thousand, three hundred twenty".