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4224120010131 = 372591213401519
BaseRepresentation
bin111101011110000001001…
…011000011010110010011
3112221211012012000212002010
4331132001023003112103
51023201444210311011
612552311155354003
7614116426443300
oct75360113032623
915854165025063
104224120010131
11138949169443a
125827b52b2903
13248443242648
1410863c97a0a7
1574d2bc291a6
hex3d7812c3593

4224120010131 has 48 divisors (see below), whose sum is σ = 6668251430400. Its totient is φ = 2370909183552.

The previous prime is 4224120010091. The next prime is 4224120010133. The reversal of 4224120010131 is 1310100214224.

4224120010131 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4224120010131 - 27 = 4224120010003 is a prime.

It is a super-2 number, since 2×42241200101312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4224120010098 and 4224120010107.

It is not an unprimeable number, because it can be changed into a prime (4224120010133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10319590 + ... + 10721108.

It is an arithmetic number, because the mean of its divisors is an integer number (138921904800).

Almost surely, 24224120010131 is an apocalyptic number.

4224120010131 is a deficient number, since it is larger than the sum of its proper divisors (2444131420269).

4224120010131 is a wasteful number, since it uses less digits than its factorization.

4224120010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402808 (or 402801 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 4224120010131 its reverse (1310100214224), we get a palindrome (5534220224355).

The spelling of 4224120010131 in words is "four trillion, two hundred twenty-four billion, one hundred twenty million, ten thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 59 147 177 413 1213 1239 2891 3639 8491 8673 25473 59437 71567 178311 214701 401519 500969 1204557 1502907 2810633 3506783 8431899 10520349 19674431 23689621 59023293 71068863 165827347 487042547 497482041 1160791429 1461127641 3409297829 3482374287 10227893487 23865084803 28735510273 71595254409 86206530819 201148571911 603445715733 1408040003377 4224120010131