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22123023131201 = 891913229756569
BaseRepresentation
bin1010000011110111010101…
…11011110110001001000001
32220022221101112000221111112
411001323222323312021001
510344430422410144301
6115015102043453105
74442223064624646
oct501735273661101
986287345027445
1022123023131201
11705a3598a2183
12259370b827195
13c462661553a5
14566a8d75bdcd
1528570d42b9bb
hex141eeaef6241

22123023131201 has 16 divisors (see below), whose sum is σ = 22393431363600. Its totient is φ = 21853110816768.

The previous prime is 22123023131173. The next prime is 22123023131207. The reversal of 22123023131201 is 10213132032122.

It can be written as a sum of positive squares in 8 ways, for example, as 2410985980225 + 19712037150976 = 1552735^2 + 4439824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22123023131201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22123023131207) 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 15 ways as a sum of consecutive naturals, for example, 391052045 + ... + 391108613.

It is an arithmetic number, because the mean of its divisors is an integer number (1399589460225).

Almost surely, 222123023131201 is an apocalyptic number.

It is an amenable number.

22123023131201 is a deficient number, since it is larger than the sum of its proper divisors (270408232399).

22123023131201 is a wasteful number, since it uses less digits than its factorization.

22123023131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60868.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 22123023131201 its reverse (10213132032122), we get a palindrome (32336155163323).

The spelling of 22123023131201 in words is "twenty-two trillion, one hundred twenty-three billion, twenty-three million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 89 1913 2297 56569 170257 204433 4394161 5034641 108216497 129938993 391080329 9631268233 11564570377 248573293609 22123023131201