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1001331113232 = 243671631910179
BaseRepresentation
bin11101001001000111111…
…11000011110100010000
310112201121111010222120010
432210203333003310100
5112401211231110412
62044001040514520
7132225630012432
oct16444377036420
93481544128503
101001331113232
11356731343a7a
1214209391ba40
137356aca83c8
1436671146652
151b0a855033c
hexe923fc3d10

1001331113232 has 80 divisors (see below), whose sum is σ = 2641488592640. Its totient is φ = 326777970816.

The previous prime is 1001331113227. The next prime is 1001331113249. The reversal of 1001331113232 is 2323111331001.

It is a happy number.

1001331113232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001331113199 and 1001331113208.

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, 430882 + ... + 1479297.

It is an arithmetic number, because the mean of its divisors is an integer number (33018607408).

Almost surely, 21001331113232 is an apocalyptic number.

1001331113232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001331113232 is an abundant number, since it is smaller than the sum of its proper divisors (1640157479408).

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

1001331113232 is a wasteful number, since it uses less digits than its factorization.

1001331113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910420 (or 1910414 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1001331113232 its reverse (2323111331001), we get a palindrome (3324442444233).

The spelling of 1001331113232 in words is "one trillion, one billion, three hundred thirty-one million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 163 201 268 326 402 489 536 652 804 978 1072 1304 1608 1956 2608 3216 3912 7824 10921 21842 32763 43684 65526 87368 131052 174736 262104 524208 1910179 3820358 5730537 7640716 11461074 15281432 22922148 30562864 45844296 91688592 127981993 255963986 311359177 383945979 511927972 622718354 767891958 934077531 1023855944 1245436708 1535783916 1868155062 2047711888 2490873416 3071567832 3736310124 4981746832 6143135664 7472620248 14945240496 20861064859 41722129718 62583194577 83444259436 125166389154 166888518872 250332778308 333777037744 500665556616 1001331113232