Search a number
-
+
2013220203000 = 2335317316572341
BaseRepresentation
bin11101010010111101010…
…001100110100111111000
321010110110202222202011020
4131102331101212213320
5230441033332444000
64140505515502440
7265310321242656
oct35227521464770
97113422882136
102013220203000
11706890357a96
12286213457a20
13117acc444cb6
146d624579dd6
153757d929ba0
hex1d4bd4669f8

2013220203000 has 256 divisors, whose sum is σ = 6324067751040. Its totient is φ = 533205504000.

The previous prime is 2013220202951. The next prime is 2013220203031. The reversal of 2013220203000 is 3020223102.

It is a super-2 number, since 2×20132202030002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 859981830 + ... + 859984170.

Almost surely, 22013220203000 is an apocalyptic number.

2013220203000 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 2013220203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162033875520).

2013220203000 is an abundant number, since it is smaller than the sum of its proper divisors (4310847548040).

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

2013220203000 is a wasteful number, since it uses less digits than its factorization.

2013220203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2013220203000 its reverse (3020223102), we get a palindrome (2016240426102).

The spelling of 2013220203000 in words is "two trillion, thirteen billion, two hundred twenty million, two hundred three thousand".