Search a number
-
+
212320303020 = 2232578316712157
BaseRepresentation
bin1100010110111101000…
…1101011011110101100
3202022000222002220222200
43011233101223132230
511434312444144040
6241312200541500
721224331540540
oct3055721533654
9668028086880
10212320303020
1182054304211
1235195781890
131703893cac7
14a3c2479a20
1557c9db4630
hex316f46b7ac

212320303020 has 288 divisors, whose sum is σ = 749433904128. Its totient is φ = 47654631936.

The previous prime is 212320303003. The next prime is 212320303033. The reversal of 212320303020 is 20303023212.

It is a happy number.

212320303020 is a `hidden beast` number, since 2 + 12 + 320 + 30 + 302 + 0 = 666.

It is a super-2 number, since 2×2123203030202 (a number of 23 digits) contains 22 as substring.

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 = 212320302984 and 212320303002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17458782 + ... + 17470938.

It is an arithmetic number, because the mean of its divisors is an integer number (2602201056).

Almost surely, 2212320303020 is an apocalyptic number.

212320303020 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 212320303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374716952064).

212320303020 is an abundant number, since it is smaller than the sum of its proper divisors (537113601108).

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

212320303020 is a wasteful number, since it uses less digits than its factorization.

212320303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12429 (or 12424 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 212320303020 its reverse (20303023212), we get a palindrome (232623326232).

The spelling of 212320303020 in words is "two hundred twelve billion, three hundred twenty million, three hundred three thousand, twenty".