Search a number
-
+
2120013103302 = 233225411741693
BaseRepresentation
bin11110110110011010101…
…000001100000011000110
321111200010100200011211000
4132312122220030003012
5234213241323301202
64301530502154130
7306110621023353
oct36663250140306
97450110604730
102120013103302
11748102145686
122a2a58122946
13124bbb388973
147487584762a
153a22e1c091c
hex1ed9aa0c0c6

2120013103302 has 32 divisors (see below), whose sum is σ = 4711351937760. Its totient is φ = 706639278240.

The previous prime is 2120013103301. The next prime is 2120013103303. The reversal of 2120013103302 is 2033013100212.

2120013103302 is a `hidden beast` number, since 2 + 1 + 20 + 0 + 1 + 310 + 330 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2120013103301) and next prime (2120013103303).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120013103301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346368 + ... + 2088060.

It is an arithmetic number, because the mean of its divisors is an integer number (147229748055).

Almost surely, 22120013103302 is an apocalyptic number.

2120013103302 is an abundant number, since it is smaller than the sum of its proper divisors (2591338834458).

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

2120013103302 is a wasteful number, since it uses less digits than its factorization.

2120013103302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764245 (or 1764239 counting only the distinct ones).

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

Adding to 2120013103302 its reverse (2033013100212), we get a palindrome (4153026203514).

The spelling of 2120013103302 in words is "two trillion, one hundred twenty billion, thirteen million, one hundred three thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 22541 45082 67623 135246 202869 405738 608607 1217214 1741693 3483386 5225079 10450158 15675237 31350474 47025711 94051422 39259501913 78519003826 117778505739 235557011478 353335517217 706671034434 1060006551651 2120013103302