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132302014320 = 24357110971011
BaseRepresentation
bin111101100110111010…
…0001000011101110000
3110122111100120200121110
41323031310020131300
54131423303424240
6140440111153320
712362365365240
oct1731564103560
9418440520543
10132302014320
1151122046603
1221783815840
13c625aa3798
1465910ddb20
153694ed1c80
hex1ecdd08770

132302014320 has 160 divisors (see below), whose sum is σ = 469156400640. Its totient is φ = 30212766720.

The previous prime is 132302014319. The next prime is 132302014321. The reversal of 132302014320 is 23410203231.

It is an interprime number because it is at equal distance from previous prime (132302014319) and next prime (132302014321).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132302014321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827615 + ... + 1898625.

It is an arithmetic number, because the mean of its divisors is an integer number (2932227504).

Almost surely, 2132302014320 is an apocalyptic number.

132302014320 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 132302014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234578200320).

132302014320 is an abundant number, since it is smaller than the sum of its proper divisors (336854386320).

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

132302014320 is a wasteful number, since it uses less digits than its factorization.

132302014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72143 (or 72137 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132302014320 its reverse (23410203231), we get a palindrome (155712217551).

The spelling of 132302014320 in words is "one hundred thirty-two billion, three hundred two million, fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1109 1680 2218 3327 4436 5545 6654 7763 8872 11090 13308 15526 16635 17744 22180 23289 26616 31052 33270 38815 44360 46578 53232 62104 66540 71011 77630 88720 93156 116445 124208 133080 142022 155260 186312 213033 232890 266160 284044 310520 355055 372624 426066 465780 497077 568088 621040 710110 852132 931560 994154 1065165 1136176 1420220 1491231 1704264 1863120 1988308 2130330 2485385 2840440 2982462 3408528 3976616 4260660 4970770 5680880 5964924 7456155 7953232 8521320 9941540 11929848 14912310 17042640 19883080 23859696 29824620 39766160 59649240 78751199 119298480 157502398 236253597 315004796 393755995 472507194 551258393 630009592 787511990 945014388 1102516786 1181267985 1260019184 1575023980 1653775179 1890028776 2205033572 2362535970 2756291965 3150047960 3307550358 3780057552 4410067144 4725071940 5512583930 6300095920 6615100716 8268875895 8820134288 9450143880 11025167860 13230201432 16537751790 18900287760 22050335720 26460402864 33075503580 44100671440 66151007160 132302014320