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200210313130020 = 22325196110119134967
BaseRepresentation
bin101101100001011100011000…
…100110000011000000100100
3222020212220210221220000211100
4231201130120212003000210
5202220221210130130040
61545451203105440100
760112501125400134
oct5541343046030044
9866786727800740
10200210313130020
115887a7983207a6
121a556124940030
1387939a011274b
143762333698ac4
151822de2b25b30
hexb61718983024

200210313130020 has 576 divisors, whose sum is σ = 656656156316160. Its totient is φ = 49222038528000.

The previous prime is 200210313129977. The next prime is 200210313130021. The reversal of 200210313130020 is 20031313012002.

200210313130020 is a `hidden beast` number, since 2 + 0 + 0 + 210 + 3 + 131 + 300 + 20 = 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 = 200210313129975 and 200210313130002.

It is not an unprimeable number, because it can be changed into a prime (200210313130021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40308093577 + ... + 40308098543.

It is an arithmetic number, because the mean of its divisors is an integer number (1140028049160).

Almost surely, 2200210313130020 is an apocalyptic number.

200210313130020 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 200210313130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328328078158080).

200210313130020 is an abundant number, since it is smaller than the sum of its proper divisors (456445843186140).

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

200210313130020 is a wasteful number, since it uses less digits than its factorization.

200210313130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 7071 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200210313130020 its reverse (20031313012002), we get a palindrome (220241626142022).

The spelling of 200210313130020 in words is "two hundred trillion, two hundred ten billion, three hundred thirteen million, one hundred thirty thousand, twenty".