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1220440234101 = 3113131103107123
BaseRepresentation
bin10001110000100111111…
…010000001100001110101
311022200011120121120212220
4101300213322001201311
5124443430144442401
62332355033432553
7154113434553204
oct21604772014165
94280146546786
101220440234101
11430649771550
12178642b6b759
138b11925019a
14430d908923b
1521b2e416336
hex11c27e81875

1220440234101 has 32 divisors (see below), whose sum is σ = 1782488512512. Its totient is φ = 736622290560.

The previous prime is 1220440234081. The next prime is 1220440234157. The reversal of 1220440234101 is 1014320440221.

It is not a de Polignac number, because 1220440234101 - 221 = 1220438136949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220440234501) 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 31 ways as a sum of consecutive naturals, for example, 11339326 + ... + 11446448.

It is an arithmetic number, because the mean of its divisors is an integer number (55702766016).

Almost surely, 21220440234101 is an apocalyptic number.

1220440234101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220440234101 is a deficient number, since it is larger than the sum of its proper divisors (562048278411).

1220440234101 is a wasteful number, since it uses less digits than its factorization.

1220440234101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108553.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1220440234101 its reverse (1014320440221), we get a palindrome (2234760674322).

It can be divided in two parts, 1220440 and 234101, that added together give a palindrome (1454541).

The spelling of 1220440234101 in words is "one trillion, two hundred twenty billion, four hundred forty million, two hundred thirty-four thousand, one hundred one".

Divisors: 1 3 11 33 313 939 1103 3309 3443 10329 12133 36399 107123 321369 345239 1035717 1178353 3535059 3797629 11392887 33529499 100588497 118156669 354470007 368824489 1106473467 1299723359 3899170077 36983037397 110949112191 406813411367 1220440234101