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245313211000 = 235311136732549
BaseRepresentation
bin1110010001110111001…
…1101000101001111000
3212110012022002022021111
43210131303220221320
513004400140223000
6304410105250104
723503042613614
oct3443563505170
9773168068244
10245313211000
1195044a04310
123b662a93934
131a1960a5370
14bc321a2344
1565ab630cba
hex391dce8a78

245313211000 has 256 divisors, whose sum is σ = 675655344000. Its totient is φ = 82188288000.

The previous prime is 245313210959. The next prime is 245313211019. The reversal of 245313211000 is 112313542.

It is a happy number.

It is a super-2 number, since 2×2453132110002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 96237726 + ... + 96240274.

Almost surely, 2245313211000 is an apocalyptic number.

245313211000 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 245313211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337827672000).

245313211000 is an abundant number, since it is smaller than the sum of its proper divisors (430342133000).

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

245313211000 is a wasteful number, since it uses less digits than its factorization.

245313211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 245313211000 its reverse (112313542), we get a palindrome (245425524542).

The spelling of 245313211000 in words is "two hundred forty-five billion, three hundred thirteen million, two hundred eleven thousand".