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200101312323133 = 13192211212018761
BaseRepresentation
bin101101011111110110110111…
…101000111101111000111101
3222020111111110111122022201121
4231133312313220331320331
5202211424441423320013
61545325135052110541
760101562026000134
oct5537666750757075
9866444414568647
10200101312323133
11588385431a3221
121a538b84765451
13878661b92c690
14375ad5309291b
15182016360058d
hexb5fdb7a3de3d

200101312323133 has 24 divisors (see below), whose sum is σ = 227443312001976. Its totient is φ = 174979010764800.

The previous prime is 200101312323089. The next prime is 200101312323139. The reversal of 200101312323133 is 331323213101002.

It can be written as a sum of positive squares in 4 ways, for example, as 743488858564 + 199357823464569 = 862258^2 + 14119413^2 .

It is not a de Polignac number, because 200101312323133 - 29 = 200101312322621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200101312323098 and 200101312323107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101312323139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98111473 + ... + 100130233.

It is an arithmetic number, because the mean of its divisors is an integer number (9476804666749).

Almost surely, 2200101312323133 is an apocalyptic number.

It is an amenable number.

200101312323133 is a deficient number, since it is larger than the sum of its proper divisors (27341999678843).

200101312323133 is a wasteful number, since it uses less digits than its factorization.

200101312323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039933 (or 2039914 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 200101312323133 its reverse (331323213101002), we get a palindrome (531424525424135).

The spelling of 200101312323133 in words is "two hundred trillion, one hundred one billion, three hundred twelve million, three hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 13 19 247 361 4693 21121 274573 401299 2018761 5216887 7624681 26243893 38356459 99120853 498633967 728772721 9474045373 42638251081 554297264053 810126770539 10531648017007 15392408640241 200101312323133