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22124224033431 = 31317107339310883
BaseRepresentation
bin1010000011111001100101…
…00000111011001010010111
32220100001111012202002122220
411001330302200323022113
510344440402323032211
6115015421143153423
74442264616261432
oct501746240731227
986301435662586
1022124224033431
11705a915764863
1225939a5a45873
13c463c7ba4420
14566b65044819
1528577da94806
hex141f3283b297

22124224033431 has 32 divisors (see below), whose sum is σ = 33637250868480. Its totient is φ = 12813869612544.

The previous prime is 22124224033427. The next prime is 22124224033447. The reversal of 22124224033431 is 13433042242122.

It is a happy number.

It is not a de Polignac number, because 22124224033431 - 22 = 22124224033427 is a prime.

It is a super-2 number, since 2×221242240334312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22124224033392 and 22124224033401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22124224033451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71010316 + ... + 71321198.

It is an arithmetic number, because the mean of its divisors is an integer number (1051164089640).

Almost surely, 222124224033431 is an apocalyptic number.

22124224033431 is a deficient number, since it is larger than the sum of its proper divisors (11513026835049).

22124224033431 is a wasteful number, since it uses less digits than its factorization.

22124224033431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418255.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 22124224033431 its reverse (13433042242122), we get a palindrome (35557266275553).

The spelling of 22124224033431 in words is "twenty-two trillion, one hundred twenty-four billion, two hundred twenty-four million, thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 13 17 39 51 221 663 107339 310883 322017 932649 1395407 1824763 4041479 4186221 5285011 5474289 12124437 15855033 23721919 68705143 71165757 206115429 33369870337 100109611011 433808314381 567287795729 1301424943143 1701863387187 7374741344477 22124224033431