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1132330132032 = 263115031065887
BaseRepresentation
bin10000011110100100001…
…000101010001001000000
311000020202000220122100020
4100132210020222021000
5122023003003211112
62224104004253440
7144544124213151
oct20364410521100
94006660818306
101132330132032
113a7244926780
121635530a1280
1382a16b35608
143cb3b185928
151e6c3e4e48c
hex107a422a240

1132330132032 has 112 divisors (see below), whose sum is σ = 3274817236992. Its totient is φ = 342447854080.

The previous prime is 1132330131943. The next prime is 1132330132039. The reversal of 1132330132032 is 2302310332311.

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 = 1132330131993 and 1132330132011.

It is not an unprimeable number, because it can be changed into a prime (1132330132039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529393 + ... + 1595279.

It is an arithmetic number, because the mean of its divisors is an integer number (29239439616).

Almost surely, 21132330132032 is an apocalyptic number.

1132330132032 is a gapful number since it is divisible by the number (12) 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 1132330132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637408618496).

1132330132032 is an abundant number, since it is smaller than the sum of its proper divisors (2142487104960).

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

1132330132032 is a wasteful number, since it uses less digits than its factorization.

1132330132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066416 (or 1066406 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1132330132032 its reverse (2302310332311), we get a palindrome (3434640464343).

The spelling of 1132330132032 in words is "one trillion, one hundred thirty-two billion, three hundred thirty million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 503 528 704 1006 1056 1509 2012 2112 3018 4024 5533 6036 8048 11066 12072 16096 16599 22132 24144 32192 33198 44264 48288 66396 88528 96576 132792 177056 265584 354112 531168 1062336 1065887 2131774 3197661 4263548 6395322 8527096 11724757 12790644 17054192 23449514 25581288 34108384 35174271 46899028 51162576 68216768 70348542 93798056 102325152 140697084 187596112 204650304 281394168 375192224 536141161 562788336 750384448 1072282322 1125576672 1608423483 2144564644 2251153344 3216846966 4289129288 5897552771 6433693932 8578258576 11795105542 12867387864 17156517152 17692658313 23590211084 25734775728 34313034304 35385316626 47180422168 51469551456 70770633252 94360844336 102939102912 141541266504 188721688672 283082533008 377443377344 566165066016 1132330132032