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132102001320 = 233517371750159
BaseRepresentation
bin111101100000111100…
…1001001001010101000
3110121222102012222100120
41323001321021022220
54131021103020240
6140404204203240
712354416325042
oct1730171111250
9417872188316
10132102001320
115102a154903
1221728839520
13c5c35135b3
146572716a92
153682673ad0
hex1ec1e492a8

132102001320 has 128 divisors (see below), whose sum is σ = 430959398400. Its totient is φ = 32258912256.

The previous prime is 132102001237. The next prime is 132102001331. The reversal of 132102001320 is 23100201231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132102001320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799600 + ... + 950559.

It is an arithmetic number, because the mean of its divisors is an integer number (3366870300).

Almost surely, 2132102001320 is an apocalyptic number.

132102001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132102001320 is an abundant number, since it is smaller than the sum of its proper divisors (298857397080).

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

132102001320 is a wasteful number, since it uses less digits than its factorization.

132102001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750227 (or 1750223 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132102001320 its reverse (23100201231), we get a palindrome (155202202551).

The spelling of 132102001320 in words is "one hundred thirty-two billion, one hundred two million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1020 1110 1258 1480 1887 2040 2220 2516 3145 3774 4440 5032 6290 7548 9435 12580 15096 18870 25160 37740 75480 1750159 3500318 5250477 7000636 8750795 10500954 14001272 17501590 21001908 26252385 29752703 35003180 42003816 52504770 59505406 64755883 70006360 89258109 105009540 119010812 129511766 148763515 178516218 194267649 210019080 238021624 259023532 297527030 323779415 357032436 388535298 446290545 518047064 595054060 647558830 714064872 777070596 892581090 971338245 1100850011 1190108120 1295117660 1554141192 1785162180 1942676490 2201700022 2590235320 3302550033 3570324360 3885352980 4403400044 5504250055 6605100066 7770705960 8806800088 11008500110 13210200132 16512750165 22017000220 26420400264 33025500330 44034000440 66051000660 132102001320