Search a number
-
+
22111011001020 = 22352011183250547
BaseRepresentation
bin1010000011100000111101…
…11101001101001010111100
32220021210101101002111200010
411001300132331031022330
510344231322304013040
6115005354102103220
74441316315330154
oct501603675151274
986253341074603
1022111011001020
117055255305a67
122591318a1ab10
13c450a0634556
145662702a3764
15285258ab1e80
hex141c1ef4d2bc

22111011001020 has 48 divisors (see below), whose sum is σ = 61941617232768. Its totient is φ = 5893337559360.

The previous prime is 22111011001007. The next prime is 22111011001021. The reversal of 22111011001020 is 2010011011122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22111011000987 and 22111011001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111011001021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91504614 + ... + 91745933.

It is an arithmetic number, because the mean of its divisors is an integer number (1290450359016).

Almost surely, 222111011001020 is an apocalyptic number.

22111011001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22111011001020 is an abundant number, since it is smaller than the sum of its proper divisors (39830606231748).

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

22111011001020 is a wasteful number, since it uses less digits than its factorization.

22111011001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183252570 (or 183252568 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22111011001020 its reverse (2010011011122), we get a palindrome (24121022012142).

The spelling of 22111011001020 in words is "twenty-two trillion, one hundred eleven billion, eleven million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2011 4022 6033 8044 10055 12066 20110 24132 30165 40220 60330 120660 183250547 366501094 549751641 733002188 916252735 1099503282 1832505470 2199006564 2748758205 3665010940 5497516410 10995032820 368516850017 737033700034 1105550550051 1474067400068 1842584250085 2211101100102 3685168500170 4422202200204 5527752750255 7370337000340 11055505500510 22111011001020