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132002012320 = 2554348739397
BaseRepresentation
bin111101011101111101…
…1101101110010100000
3110121201110002000020021
41322323323231302200
54130320003343240
6140350233123224
712352063406653
oct1727373556240
9417643060207
10132002012320
1150a88770672
12216bb259514
13c5a88a4ac9
14656332989a
1536789c254a
hex1ebbeedca0

132002012320 has 96 divisors (see below), whose sum is σ = 319770557568. Its totient is φ = 51465673728.

The previous prime is 132002012309. The next prime is 132002012323. The reversal of 132002012320 is 23210200231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 132002012294 and 132002012303.

It is not an unprimeable number, because it can be changed into a prime (132002012323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3330862 + ... + 3370258.

It is an arithmetic number, because the mean of its divisors is an integer number (3330943308).

Almost surely, 2132002012320 is an apocalyptic number.

132002012320 is a gapful number since it is divisible by the number (10) 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 132002012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159885278784).

132002012320 is an abundant number, since it is smaller than the sum of its proper divisors (187768545248).

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

132002012320 is a wasteful number, since it uses less digits than its factorization.

132002012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39942 (or 39934 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132002012320 its reverse (23210200231), we get a palindrome (155212212551).

The spelling of 132002012320 in words is "one hundred thirty-two billion, two million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 487 688 860 974 1376 1720 1948 2435 3440 3896 4870 6880 7792 9740 15584 19480 20941 38960 39397 41882 77920 78794 83764 104705 157588 167528 196985 209410 315176 335056 393970 418820 630352 670112 787940 837640 1260704 1575880 1675280 1694071 3151760 3350560 3388142 6303520 6776284 8470355 13552568 16940710 19186339 27105136 33881420 38372678 54210272 67762840 76745356 95931695 135525680 153490712 191863390 271051360 306981424 383726780 613962848 767453560 825012577 1534907120 1650025154 3069814240 3300050308 4125062885 6600100616 8250125770 13200201232 16500251540 26400402464 33000503080 66001006160 132002012320