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22141132431021 = 324338317683129
BaseRepresentation
bin1010000100011001000100…
…10101010101111010101101
32220101200010120212200200200
411002030202111111322231
510400230014400243041
6115031255032544113
74443433621264302
oct502144225257255
986350116780620
1022141132431021
11706700204816a
122597124552039
13c47b90c04406
145678ca8bb0a9
15285e1d1c51b6
hex142322555ead

22141132431021 has 24 divisors (see below), whose sum is σ = 32059397468280. Its totient is φ = 14724873225216.

The previous prime is 22141132430999. The next prime is 22141132431031. The reversal of 22141132431021 is 12013423114122.

22141132431021 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 1 + 1 + 324 + 310 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 918940800996 + 21222191630025 = 958614^2 + 4606755^2 .

It is not a de Polignac number, because 22141132431021 - 26 = 22141132430957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22141132431031) 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, 32069785 + ... + 32752913.

It is an arithmetic number, because the mean of its divisors is an integer number (1335808227845).

Almost surely, 222141132431021 is an apocalyptic number.

It is an amenable number.

22141132431021 is a deficient number, since it is larger than the sum of its proper divisors (9918265037259).

22141132431021 is a wasteful number, since it uses less digits than its factorization.

22141132431021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691885 (or 691882 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 22141132431021 its reverse (12013423114122), we get a palindrome (34154555545143).

The spelling of 22141132431021 in words is "twenty-two trillion, one hundred forty-one billion, one hundred thirty-two million, four hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 433 1299 3897 8317 24951 74853 683129 2049387 3601261 6148161 10803783 32411349 295794857 887384571 2662153713 5681583893 17044751679 51134255037 2460125825669 7380377477007 22141132431021