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110213064094081 = 13219422372
BaseRepresentation
bin11001000011110011111010…
…100010001111000110000001
3112110020021011221020012121211
4121003303322202033012001
5103421212323402002311
61030223103242450121
732133426320446444
oct3103637242170601
9473207157205554
10110213064094081
1132132109483663
1210440044203941
134966080043900
141d304ab0b365b
15cb1d64a49821
hex643cfa88f181

110213064094081 has 45 divisors (see below), whose sum is σ = 126029602658841. Its totient is φ = 96337570459104.

The previous prime is 110213064094079. The next prime is 110213064094099. The reversal of 110213064094081 is 180490460312011.

It is a happy number.

The square root of 110213064094081 is 10498241.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 613103094081 + 109599961000000 = 783009^2 + 10469000^2 .

It is not a de Polignac number, because 110213064094081 - 21 = 110213064094079 is a prime.

It is a super-2 number, since 2×1102130640940812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110213064094061) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49268243895 + ... + 49268246131.

Almost surely, 2110213064094081 is an apocalyptic number.

110213064094081 is the 10498241-st square number.

110213064094081 is the 5249121-st centered octagonal number.

It is an amenable number.

110213064094081 is a deficient number, since it is larger than the sum of its proper divisors (15816538564760).

110213064094081 is an frugal number, since it uses more digits than its factorization.

110213064094081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 110213064094081 in words is "one hundred ten trillion, two hundred thirteen billion, sixty-four million, ninety-four thousand, eighty-one".

Divisors: 1 13 19 169 247 361 2237 3211 4693 6859 29081 42503 61009 89167 130321 378053 552539 807557 1159171 1694173 5004169 7183007 10498241 15343583 22024249 65054197 95079211 136477133 199466579 291528077 845704561 1236029743 1806505009 2593065527 3789865001 16068386659 23484565117 34323595171 49268245013 305299346521 446206737223 652148308249 5800687583899 8477928007237 110213064094081