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1233020132344 = 2371113439350737
BaseRepresentation
bin10001111100010101101…
…110100001101111111000
311100212122021220122002001
4101330111232201233320
5130200211123213334
62342235220350344
7155040250124320
oct21742556415770
94325567818061
101233020132344
11435a147a1270
1217ab73b453b4
138c372592a60
144396dada280
1522118a33714
hex11f15ba1bf8

1233020132344 has 128 divisors (see below), whose sum is σ = 3111186355200. Its totient is φ = 442432419840.

The previous prime is 1233020132339. The next prime is 1233020132353. The reversal of 1233020132344 is 4432310203321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3340144 + ... + 3690880.

It is an arithmetic number, because the mean of its divisors is an integer number (24306143400).

Almost surely, 21233020132344 is an apocalyptic number.

1233020132344 is a gapful number since it is divisible by the number (14) 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 1233020132344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555593177600).

1233020132344 is an abundant number, since it is smaller than the sum of its proper divisors (1878166222856).

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

1233020132344 is a wasteful number, since it uses less digits than its factorization.

1233020132344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351213 (or 351209 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1233020132344 its reverse (4432310203321), we get a palindrome (5665330335665).

The spelling of 1233020132344 in words is "one trillion, two hundred thirty-three billion, twenty million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 439 572 616 728 878 1001 1144 1756 2002 3073 3512 4004 4829 5707 6146 8008 9658 11414 12292 19316 22828 24584 33803 38632 39949 45656 62777 67606 79898 125554 135212 159796 251108 270424 319592 350737 439439 502216 701474 878878 1402948 1757756 2455159 2805896 3515512 3858107 4559581 4910318 7716214 9119162 9820636 15432428 18238324 19641272 27006749 30864856 31917067 36476648 50155391 54013498 63834134 100310782 108026996 127668268 153973543 200621564 216053992 255336536 307947086 351087737 401243128 615894172 702175474 1077814801 1231788344 1404350948 1693708973 2001656059 2155629602 2808701896 3387417946 4003312118 4311259204 6774835892 8006624236 8622518408 11855962811 13549671784 14011592413 16013248472 22018216649 23711925622 28023184826 44036433298 47423851244 56046369652 88072866596 94847702488 112092739304 154127516543 176145733192 308255033086 616510066172 1233020132344