Search a number
-
+
13122103132032 = 273154922060777
BaseRepresentation
bin1011111011110011101001…
…0010111011111110000000
31201110110102221002022112220
42332330322102323332000
53204443031400211112
643524113322251040
72523016643164146
oct276747222737600
951413387068486
1013122103132032
1141aa064142064
12157b199956a80
137425417b90bb
143351827d1596
1517b5090c298c
hexbef3a4bbf80

13122103132032 has 64 divisors (see below), whose sum is σ = 34878090018000. Its totient is φ = 4371210399744.

The previous prime is 13122103132009. The next prime is 13122103132063. The reversal of 13122103132032 is 23023130122131.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 13122103131993 and 13122103132011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10435573 + ... + 11625204.

Almost surely, 213122103132032 is an apocalyptic number.

13122103132032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122103132032 is an abundant number, since it is smaller than the sum of its proper divisors (21755986885968).

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

13122103132032 is a wasteful number, since it uses less digits than its factorization.

13122103132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22062343 (or 22062331 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13122103132032 its reverse (23023130122131), we get a palindrome (36145233254163).

The spelling of 13122103132032 in words is "thirteen trillion, one hundred twenty-two billion, one hundred three million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1549 3098 4647 6196 9294 12392 18588 24784 37176 49568 74352 99136 148704 198272 297408 594816 22060777 44121554 66182331 88243108 132364662 176486216 264729324 352972432 529458648 705944864 1058917296 1411889728 2117834592 2823779456 4235669184 8471338368 34172143573 68344287146 102516430719 136688574292 205032861438 273377148584 410065722876 546754297168 820131445752 1093508594336 1640262891504 2187017188672 3280525783008 4374034377344 6561051566016 13122103132032