Search a number
-
+
111455010888349 = 372337241582933
BaseRepresentation
bin11001010101111000100100…
…010101010001101010011101
3112121121222212100020020210011
4121111320210111101222131
5104102034330241411344
61033013420344443221
732322234033146362
oct3125704425215235
9477558770206704
10111455010888349
1132570894025077
1210600889779511
134a26215b1992b
141d74646574469
15cd43020bed34
hex655e24551a9d

111455010888349 has 12 divisors (see below), whose sum is σ = 114888629590644. Its totient is φ = 108120924382464.

The previous prime is 111455010888313. The next prime is 111455010888383. The reversal of 111455010888349 is 943888010554111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9095109956100 + 102359900932249 = 3015810^2 + 10117307^2 .

It is not a de Polignac number, because 111455010888349 - 223 = 111455002499741 is a prime.

It is a super-2 number, since 2×1114550108883492 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111455010888293 and 111455010888302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111455016888349) 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 11 ways as a sum of consecutive naturals, for example, 120330114 + ... + 121252819.

It is an arithmetic number, because the mean of its divisors is an integer number (9574052465887).

Almost surely, 2111455010888349 is an apocalyptic number.

It is an amenable number.

111455010888349 is a deficient number, since it is larger than the sum of its proper divisors (3433618702295).

111455010888349 is an equidigital number, since it uses as much as digits as its factorization.

111455010888349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241583344 (or 241583307 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 58.

The spelling of 111455010888349 in words is "one hundred eleven trillion, four hundred fifty-five billion, ten million, eight hundred eighty-eight thousand, three hundred forty-nine".

Divisors: 1 37 337 1369 12469 461353 241582933 8938568521 81413448421 330727035277 3012297591577 111455010888349