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20230202213130 = 235713174321614691
BaseRepresentation
bin1001001100110001101100…
…00001000100001100001010
32122121222200120112120210110
410212120312001010030022
510122422423231310010
6111005343202255150
74155404161400250
oct446306601041412
978558616476713
1020230202213130
11649a642826a58
1223288b99574b6
13b39913848730
144dd20b5845d0
15251379a79120
hex12663604430a

20230202213130 has 512 divisors, whose sum is σ = 64787227287552. Its totient is φ = 3921194188800.

The previous prime is 20230202213101. The next prime is 20230202213201. The reversal of 20230202213130 is 3131220203202.

It is a happy number.

It is a super-3 number, since 3×202302022131303 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20230202213097 and 20230202213106.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4312554085 + ... + 4312558775.

It is an arithmetic number, because the mean of its divisors is an integer number (126537553296).

Almost surely, 220230202213130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20230202213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32393613643776).

20230202213130 is an abundant number, since it is smaller than the sum of its proper divisors (44557025074422).

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

20230202213130 is a wasteful number, since it uses less digits than its factorization.

20230202213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6942.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20230202213130 its reverse (3131220203202), we get a palindrome (23361422416332).

The spelling of 20230202213130 in words is "twenty trillion, two hundred thirty billion, two hundred two million, two hundred thirteen thousand, one hundred thirty".