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22120434021 = 3724112233001
BaseRepresentation
bin10100100110011110…
…110000100101100101
32010002121111110220010
4110212132300211211
5330300312342041
614054553400433
71412110405200
oct244636604545
963077443803
1022120434021
119421454534
124354109119
132116a9b61a
1410dbb70937
15896ebca16
hex5267b0965

22120434021 has 48 divisors (see below), whose sum is σ = 35186514048. Its totient is φ = 12317760000.

The previous prime is 22120434019. The next prime is 22120434029. The reversal of 22120434021 is 12043402122.

It is not a de Polignac number, because 22120434021 - 21 = 22120434019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120434029) 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 47 ways as a sum of consecutive naturals, for example, 7369521 + ... + 7372521.

It is an arithmetic number, because the mean of its divisors is an integer number (733052376).

Almost surely, 222120434021 is an apocalyptic number.

22120434021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22120434021 is a deficient number, since it is larger than the sum of its proper divisors (13066080027).

22120434021 is a wasteful number, since it uses less digits than its factorization.

22120434021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22120434021 its reverse (12043402122), we get a palindrome (34163836143).

The spelling of 22120434021 in words is "twenty-two billion, one hundred twenty million, four hundred thirty-four thousand, twenty-one".

Divisors: 1 3 7 21 41 49 123 147 287 861 1223 2009 3001 3669 6027 8561 9003 21007 25683 50143 59927 63021 123041 147049 150429 179781 351001 369123 441147 861287 1053003 2457007 2583861 3670223 6029009 7371021 11010669 18087027 25691561 77074683 150479143 179840927 451437429 539522781 1053354001 3160062003 7373478007 22120434021