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2412232102104 = 23311137193345571
BaseRepresentation
bin100011000110100100001…
…111001101000011011000
322112121101121021101112120
4203012210033031003120
5304010222404231404
65044055241341240
7336164234362236
oct43064417150330
98477347241476
102412232102104
11850027153580
1232b60b797820
1314661b151246
1484a7740b956
1542b336e29d9
hex231a43cd0d8

2412232102104 has 128 divisors (see below), whose sum is σ = 6661190580480. Its totient is φ = 721881907200.

The previous prime is 2412232102081. The next prime is 2412232102117. The reversal of 2412232102104 is 4012012322142.

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 31 ways as a sum of consecutive naturals, for example, 6807639 + ... + 7153209.

It is an arithmetic number, because the mean of its divisors is an integer number (52040551410).

Almost surely, 22412232102104 is an apocalyptic number.

2412232102104 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 2412232102104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330595290240).

2412232102104 is an abundant number, since it is smaller than the sum of its proper divisors (4248958478376).

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

2412232102104 is a wasteful number, since it uses less digits than its factorization.

2412232102104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345921 (or 345917 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2412232102104 its reverse (4012012322142), we get a palindrome (6424244424246).

The spelling of 2412232102104 in words is "two trillion, four hundred twelve billion, two hundred thirty-two million, one hundred two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 137 193 264 274 386 411 548 579 772 822 1096 1158 1507 1544 1644 2123 2316 3014 3288 4246 4521 4632 6028 6369 8492 9042 12056 12738 16984 18084 25476 26441 36168 50952 52882 79323 105764 158646 211528 290851 317292 345571 581702 634584 691142 872553 1036713 1163404 1382284 1745106 2073426 2326808 2764568 3490212 3801281 4146852 6980424 7602562 8293704 11403843 15205124 22807686 30410248 45615372 47343227 66695203 91230744 94686454 133390406 142029681 189372908 200085609 266780812 284059362 378745816 400171218 520775497 533561624 568118724 733647233 800342436 1041550994 1136237448 1467294466 1562326491 1600684872 2083101988 2200941699 2934588932 3124652982 4166203976 4401883398 5869177864 6249305964 8803766796 9137242811 12498611928 17607533592 18274485622 27411728433 36548971244 54823456866 73097942488 100509670921 109646913732 201019341842 219293827464 301529012763 402038683684 603058025526 804077367368 1206116051052 2412232102104