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1123123101221 = 11237013250777
BaseRepresentation
bin10000010101111111010…
…110100111111000100101
310222100222101021000110002
4100111333112213320211
5121400124003214341
62215542225511045
7144100015562552
oct20257726477045
93870871230402
101123123101221
113a334a790200
121618037a2485
1381baa508aa4
143c50647ba29
151e3359ca29b
hex1057f5a7e25

1123123101221 has 12 divisors (see below), whose sum is σ = 1234545486636. Its totient is φ = 1020989344320.

The previous prime is 1123123101197. The next prime is 1123123101223. The reversal of 1123123101221 is 1221013213211.

It can be written as a sum of positive squares in 2 ways, for example, as 838618209121 + 284504892100 = 915761^2 + 533390^2 .

It is not a de Polignac number, because 1123123101221 - 218 = 1123122839077 is a prime.

It is a super-2 number, since 2×11231231012212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1123123101193 and 1123123101202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123123101223) 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, 4353185 + ... + 4603961.

It is an arithmetic number, because the mean of its divisors is an integer number (102878790553).

Almost surely, 21123123101221 is an apocalyptic number.

1123123101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1123123101221 is a deficient number, since it is larger than the sum of its proper divisors (111422385415).

1123123101221 is a wasteful number, since it uses less digits than its factorization.

1123123101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287812 (or 287801 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1123123101221 its reverse (1221013213211), we get a palindrome (2344136314432).

The spelling of 1123123101221 in words is "one trillion, one hundred twenty-three billion, one hundred twenty-three million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 11 121 37013 250777 407143 2758547 4478573 30344017 9282009101 102102100111 1123123101221