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1122144353341 = 11179376404239
BaseRepresentation
bin10000010101000101000…
…000111111110000111101
310222021110011120110202121
4100111011000333300331
5121341122423301331
62215301143522541
7144033532424314
oct20250500776075
93867404513677
101122144353341
113a2998262460
1216158ba59451
1381a827ccc2b
143c4524a327b
151e2c9ae5c11
hex1054503fc3d

1122144353341 has 16 divisors (see below), whose sum is σ = 1297550257920. Its totient is φ = 959098682880.

The previous prime is 1122144353329. The next prime is 1122144353347. The reversal of 1122144353341 is 1433534412211.

It is a cyclic number.

It is not a de Polignac number, because 1122144353341 - 233 = 1113554418749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122144353297 and 1122144353306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122144353347) 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 15 ways as a sum of consecutive naturals, for example, 3026901 + ... + 3377338.

It is an arithmetic number, because the mean of its divisors is an integer number (81096891120).

Almost surely, 21122144353341 is an apocalyptic number.

1122144353341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122144353341 is a deficient number, since it is larger than the sum of its proper divisors (175405904579).

1122144353341 is a wasteful number, since it uses less digits than its factorization.

1122144353341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405204.

The product of its digits is 34560, while the sum is 34.

Adding to 1122144353341 its reverse (1433534412211), we get a palindrome (2555678765552).

The spelling of 1122144353341 in words is "one trillion, one hundred twenty-two billion, one hundred forty-four million, three hundred fifty-three thousand, three hundred forty-one".

Divisors: 1 11 17 187 937 10307 15929 175219 6404239 70446629 108872063 1197592693 6000771943 66008491373 102013123031 1122144353341