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23222120343121 = 72738461767293
BaseRepresentation
bin1010100011110110100100…
…01110111110011001010001
310001020000100111100022210201
411101323102032332121101
511020432400301434441
6121220032251255201
74614512535032200
oct521732216763121
9101200314308721
1023222120343121
11744349a597117
12273072914a501
13cc5ab4b9bc1b
145a3d56d81237
152a40d99eec31
hex151ed23be651

23222120343121 has 24 divisors (see below), whose sum is σ = 27386806830504. Its totient is φ = 19629661927680.

The previous prime is 23222120343109. The next prime is 23222120343133. The reversal of 23222120343121 is 12134302122232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23222120343109) and next prime (23222120343133).

It can be written as a sum of positive squares in 4 ways, for example, as 10299677094721 + 12922443248400 = 3209311^2 + 3594780^2 .

It is not a de Polignac number, because 23222120343121 - 25 = 23222120343089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23222120343121.

It is not an unprimeable number, because it can be changed into a prime (23222120343151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29881351 + ... + 30648643.

It is an arithmetic number, because the mean of its divisors is an integer number (1141116951271).

Almost surely, 223222120343121 is an apocalyptic number.

It is an amenable number.

23222120343121 is a deficient number, since it is larger than the sum of its proper divisors (4164686487383).

23222120343121 is an equidigital number, since it uses as much as digits as its factorization.

23222120343121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775841 (or 775834 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 23222120343121 its reverse (12134302122232), we get a palindrome (35356422465353).

The spelling of 23222120343121 in words is "twenty-three trillion, two hundred twenty-two billion, one hundred twenty million, three hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 7 49 73 511 3577 8461 59227 414589 617653 767293 4323571 5371051 30264997 37597357 56012389 392086723 2744607061 6492066073 45444462511 318111237577 473920823329 3317445763303 23222120343121