Search a number
-
+
2220020111001 = 371110091952381
BaseRepresentation
bin100000010011100011100…
…000101001011010011001
321212020021000111112211010
4200103203200221122121
5242333100122023001
64415510235324133
7316251111406440
oct40234340513231
97766230445733
102220020111001
11786561527770
122ba3082b0649
1313146847cc74
14796417add57
153cb33d418d6
hex204e3829699

2220020111001 has 32 divisors (see below), whose sum is σ = 3690792631296. Its totient is φ = 1153141704000.

The previous prime is 2220020110991. The next prime is 2220020111011. The reversal of 2220020111001 is 1001110200222.

It is an interprime number because it is at equal distance from previous prime (2220020110991) and next prime (2220020111011).

It is not a de Polignac number, because 2220020111001 - 25 = 2220020110969 is a prime.

It is a super-2 number, since 2×22200201110012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2220020111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1854831 + ... + 2807211.

It is an arithmetic number, because the mean of its divisors is an integer number (115337269728).

Almost surely, 22220020111001 is an apocalyptic number.

2220020111001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2220020111001 is a deficient number, since it is larger than the sum of its proper divisors (1470772520295).

2220020111001 is a wasteful number, since it uses less digits than its factorization.

2220020111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962493.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2220020111001 its reverse (1001110200222), we get a palindrome (3221130311223).

The spelling of 2220020111001 in words is "two trillion, two hundred twenty billion, twenty million, one hundred eleven thousand, one".

Divisors: 1 3 7 11 21 33 77 231 10091 30273 70637 111001 211911 333003 777007 952381 2331021 2857143 6666667 10476191 20000001 31428573 73333337 220000011 9610476671 28831430013 67273336697 105715243381 201820010091 317145730143 740006703667 2220020111001