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213301230022320 = 243511731487744313
BaseRepresentation
bin110000011111111100010000…
…000010111010111010110000
31000222020101202110120020000020
4300133330100002322322300
5210424211404341203240
62033353122102523440
762633335216120506
oct6037742002727260
91028211673506006
10213301230022320
1161a675a8661310
121bb0b25a436580
1392032b184c54b
143a95b98294676
15199d6c3da10d0
hexc1ff100baeb0

213301230022320 has 320 divisors, whose sum is σ = 731720159483904. Its totient is φ = 50966674882560.

The previous prime is 213301230022297. The next prime is 213301230022343. The reversal of 213301230022320 is 23220032103312.

It is an interprime number because it is at equal distance from previous prime (213301230022297) and next prime (213301230022343).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286202484 + ... + 286946796.

Almost surely, 2213301230022320 is an apocalyptic number.

213301230022320 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 213301230022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365860079741952).

213301230022320 is an abundant number, since it is smaller than the sum of its proper divisors (518418929461584).

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

213301230022320 is a wasteful number, since it uses less digits than its factorization.

213301230022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745900 (or 745894 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 213301230022320 its reverse (23220032103312), we get a palindrome (236521262125632).

The spelling of 213301230022320 in words is "two hundred thirteen trillion, three hundred one billion, two hundred thirty million, twenty-two thousand, three hundred twenty".