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1102220012013 = 38955759912373
BaseRepresentation
bin10000000010100001011…
…011101010100111101101
310220101000121102001200220
4100002201123222213231
5121024321310341023
62202204120041553
7142430016342531
oct20024133524755
93811017361626
101102220012013
113954a350996a
1215974b3032b9
137cc289c5653
143b4c2273bc1
151da108223e3
hex100a16ea9ed

1102220012013 has 32 divisors (see below), whose sum is σ = 1491413472000. Its totient is φ = 723983310336.

The previous prime is 1102220011957. The next prime is 1102220012017. The reversal of 1102220012013 is 3102100222011.

It is not a de Polignac number, because 1102220012013 - 234 = 1085040142829 is a prime.

It is a super-3 number, since 3×11022200120133 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1102220011983 and 1102220012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102220012017) 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, 89076495 + ... + 89088867.

It is an arithmetic number, because the mean of its divisors is an integer number (46606671000).

Almost surely, 21102220012013 is an apocalyptic number.

It is an amenable number.

1102220012013 is a deficient number, since it is larger than the sum of its proper divisors (389193459987).

1102220012013 is a wasteful number, since it uses less digits than its factorization.

1102220012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13621.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1102220012013 its reverse (3102100222011), we get a palindrome (4204320234024).

The spelling of 1102220012013 in words is "one trillion, one hundred two billion, two hundred twenty million, twelve thousand, thirteen".

Divisors: 1 3 89 267 557 599 1671 1797 12373 37119 49573 53311 148719 159933 333643 1000929 1101197 3303591 6891761 7411427 20675283 22234281 29694227 89082681 613366729 659617003 1840100187 1978851009 4128164839 12384494517 367406670671 1102220012013