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201301320100 = 22522156993329
BaseRepresentation
bin1011101101111001111…
…1100110000110100100
3201020121000221121002011
42323132133212012210
511244231114220400
6232250533524004
720354301663106
oct2733637460644
9636530847064
10201301320100
117840a390261
123301b4a3604
1315ca0ac9c7a
149a58c67576
1553828258ba
hex2ede7e61a4

201301320100 has 36 divisors (see below), whose sum is σ = 436848797700. Its totient is φ = 80515932160.

The previous prime is 201301320097. The next prime is 201301320109. The reversal of 201301320100 is 1023103102.

It can be written as a sum of positive squares in 6 ways, for example, as 60590807104 + 140710512996 = 246152^2 + 375114^2 .

It is not an unprimeable number, because it can be changed into a prime (201301320109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2110236 + ... + 2203564.

It is an arithmetic number, because the mean of its divisors is an integer number (12134688825).

Almost surely, 2201301320100 is an apocalyptic number.

201301320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201301320100 is an abundant number, since it is smaller than the sum of its proper divisors (235547477600).

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

201301320100 is a wasteful number, since it uses less digits than its factorization.

201301320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114912 (or 114905 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 201301320100 its reverse (1023103102), we get a palindrome (202324423202).

The spelling of 201301320100 in words is "two hundred one billion, three hundred one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21569 43138 86276 93329 107845 186658 215690 373316 431380 466645 539225 933290 1078450 1866580 2156900 2333225 4666450 9332900 2013013201 4026026402 8052052804 10065066005 20130132010 40260264020 50325330025 100650660050 201301320100