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202130401320 = 233358314391567
BaseRepresentation
bin1011110000111111101…
…0010010100000101000
3201022201211000021201000
42330033322102200220
511302430340320240
6232505111555000
720413660030401
oct2741772224050
9638654007630
10202130401320
11787a5384251
123321108ba60
13160a37c2883
149ad70029a8
1553d04e4430
hex2f0fe92828

202130401320 has 256 divisors, whose sum is σ = 682795008000. Its totient is φ = 53181059328.

The previous prime is 202130401313. The next prime is 202130401367. The reversal of 202130401320 is 23104031202.

202130401320 is a `hidden beast` number, since 20 + 21 + 304 + 0 + 1 + 320 = 666.

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 = 202130401293 and 202130401302.

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, 128991177 + ... + 128992743.

It is an arithmetic number, because the mean of its divisors is an integer number (2667168000).

Almost surely, 2202130401320 is an apocalyptic number.

202130401320 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 202130401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341397504000).

202130401320 is an abundant number, since it is smaller than the sum of its proper divisors (480664606680).

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

202130401320 is a wasteful number, since it uses less digits than its factorization.

202130401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202130401320 its reverse (23104031202), we get a palindrome (225234432522).

The spelling of 202130401320 in words is "two hundred two billion, one hundred thirty million, four hundred one thousand, three hundred twenty".