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31224430432041 = 37113792153165653
BaseRepresentation
bin1110001100110000000010…
…00101011000111100101001
311002120000201020120101220220
413012120001011120330221
513043040113142311131
6150224145540440253
76401614331342520
oct706300105307451
9132500636511826
1031224430432041
119a4922aa61350
1236036066a9089
1314565b325b3b2
1479d3b03574b7
1539234467ae96
hex1c6601158f29

31224430432041 has 64 divisors (see below), whose sum is σ = 52066987038720. Its totient is φ = 16170073597440.

The previous prime is 31224430432037. The next prime is 31224430432051. The reversal of 31224430432041 is 14023403442213.

It is not a de Polignac number, because 31224430432041 - 22 = 31224430432037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 31224430431993 and 31224430432011.

It is not an unprimeable number, because it can be changed into a prime (31224430432051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188410171 + ... + 188575823.

It is an arithmetic number, because the mean of its divisors is an integer number (813546672480).

Almost surely, 231224430432041 is an apocalyptic number.

It is an amenable number.

31224430432041 is a deficient number, since it is larger than the sum of its proper divisors (20842556606679).

31224430432041 is a wasteful number, since it uses less digits than its factorization.

31224430432041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168206.

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

Adding to 31224430432041 its reverse (14023403442213), we get a palindrome (45247833874254).

The spelling of 31224430432041 in words is "thirty-one trillion, two hundred twenty-four billion, four hundred thirty million, four hundred thirty-two thousand, forty-one".

Divisors: 1 3 7 11 21 33 77 231 379 1137 2153 2653 4169 6459 7959 12507 15071 23683 29183 45213 71049 87549 165653 165781 496959 497343 815987 1159571 1822183 2447961 3478713 5466549 5711909 8975857 12755281 17135727 26927571 38265843 62782487 62830999 188347461 188492997 356650909 439477409 690607357 1069952727 1318432227 2071822071 2496556363 3923159999 4834251499 7489669089 11769479997 14502754497 27462119993 82386359979 135170694511 405512083533 946194861577 1486877639621 2838584584731 4460632918863 10408143477347 31224430432041