Search a number
-
+
201310310210100 = 2235271341227116187
BaseRepresentation
bin101101110001011100110101…
…100001111001101000110100
3222101210002002122110110011220
4231301130311201321220310
5202341232003403210400
61552052402500430340
760255122103323610
oct5561346541715064
9871702078413156
10201310310210100
115916424aa67a33
121a6b33536a83b0
138843633407950
14379d684602340
1518418231eb7a0
hexb71735879a34

201310310210100 has 864 divisors, whose sum is σ = 737539229134848. Its totient is φ = 41282846208000.

The previous prime is 201310310210047. The next prime is 201310310210111. The reversal of 201310310210100 is 1012013013102.

It is a happy number.

201310310210100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2013103102101002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201310310210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12436534207 + ... + 12436550393.

Almost surely, 2201310310210100 is an apocalyptic number.

201310310210100 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 201310310210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368769614567424).

201310310210100 is an abundant number, since it is smaller than the sum of its proper divisors (536228918924748).

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

201310310210100 is a wasteful number, since it uses less digits than its factorization.

201310310210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16577 (or 16529 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 201310310210100 its reverse (1012013013102), we get a palindrome (202322323223202).

The spelling of 201310310210100 in words is "two hundred one trillion, three hundred ten billion, three hundred ten million, two hundred ten thousand, one hundred".