Search a number
-
+
22124154524213 = 721635574973107
BaseRepresentation
bin1010000011111001011100…
…10111110001001000110101
32220100001022100221122221102
411001330232113301020311
510344440232024233323
6115015410221255445
74442263113410600
oct501745627611065
986301270848842
1022124154524213
11705a88a4a9525
122593986704585
13c463b6678101
14566b59b0d337
15285777914328
hex141f2e5f1235

22124154524213 has 24 divisors (see below), whose sum is σ = 25940646379872. Its totient is φ = 18813379352544.

The previous prime is 22124154524189. The next prime is 22124154524243. The reversal of 22124154524213 is 31242545142122.

It is a happy number.

It is not a de Polignac number, because 22124154524213 - 28 = 22124154523957 is a prime.

It is a super-2 number, since 2×221241545242132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22124154524243) 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 23 ways as a sum of consecutive naturals, for example, 1962206 + ... + 6935312.

It is an arithmetic number, because the mean of its divisors is an integer number (1080860265828).

Almost surely, 222124154524213 is an apocalyptic number.

It is an amenable number.

22124154524213 is a deficient number, since it is larger than the sum of its proper divisors (3816491855659).

22124154524213 is a wasteful number, since it uses less digits than its factorization.

22124154524213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973841 (or 4973834 counting only the distinct ones).

The product of its digits is 153600, while the sum is 38.

Adding to 22124154524213 its reverse (31242545142122), we get a palindrome (53366699666335).

The spelling of 22124154524213 in words is "twenty-two trillion, one hundred twenty-four billion, one hundred fifty-four million, five hundred twenty-four thousand, two hundred thirteen".

Divisors: 1 7 49 163 557 1141 3899 7987 27293 90791 635537 4448759 4973107 34811749 243682243 810616441 2770020599 5674315087 19390144193 39720205609 135731009351 451513357637 3160593503459 22124154524213