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21431125104 = 2432319997549
BaseRepresentation
bin10011111101011001…
…010000010001110000
32001022120102221211020
4103331121100101300
5322342332000404
613502331215440
71356040362204
oct237531202160
961276387736
1021431125104
1190a8347544
1241a12a7580
13203703351c
1410743bab04
1585670ced9
hex4fd650470

21431125104 has 80 divisors (see below), whose sum is σ = 58061760000. Its totient is φ = 6798705408.

The previous prime is 21431125099. The next prime is 21431125139. The reversal of 21431125104 is 40152113412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170922 + ... + 268470.

It is an arithmetic number, because the mean of its divisors is an integer number (725772000).

Almost surely, 221431125104 is an apocalyptic number.

21431125104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21431125104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030880000).

21431125104 is an abundant number, since it is smaller than the sum of its proper divisors (36630634896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21431125104 is a wasteful number, since it uses less digits than its factorization.

21431125104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97782 (or 97776 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 21431125104 its reverse (40152113412), we get a palindrome (61583238516).

The spelling of 21431125104 in words is "twenty-one billion, four hundred thirty-one million, one hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 199 276 368 398 552 597 796 1104 1194 1592 2388 3184 4577 4776 9154 9552 13731 18308 27462 36616 54924 73232 97549 109848 195098 219696 292647 390196 585294 780392 1170588 1560784 2243627 2341176 4487254 4682352 6730881 8974508 13461762 17949016 19412251 26923524 35898032 38824502 53847048 58236753 77649004 107694096 116473506 155298008 232947012 310596016 446481773 465894024 892963546 931788048 1339445319 1785927092 2678890638 3571854184 5357781276 7143708368 10715562552 21431125104