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132324213120 = 2735116265351
BaseRepresentation
bin111101100111100100…
…0110100000110000000
3110122112220100111122020
41323033020310012000
54131444444304440
6140442223041440
712363055152621
oct1731710640600
9418486314566
10132324213120
1151133628920
122178b140280
13c62a576978
14659403ba48
153696e193d0
hex1ecf234180

132324213120 has 128 divisors (see below), whose sum is σ = 460127450880. Its totient is φ = 32078592000.

The previous prime is 132324213103. The next prime is 132324213121. The reversal of 132324213120 is 21312423231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132324213121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3111556 + ... + 3153795.

It is an arithmetic number, because the mean of its divisors is an integer number (3594745710).

Almost surely, 2132324213120 is an apocalyptic number.

132324213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132324213120 is an abundant number, since it is smaller than the sum of its proper divisors (327803237760).

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

132324213120 is a wasteful number, since it uses less digits than its factorization.

132324213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6265384 (or 6265372 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132324213120 its reverse (21312423231), we get a palindrome (153636636351).

The spelling of 132324213120 in words is "one hundred thirty-two billion, three hundred twenty-four million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 6265351 12530702 18796053 25061404 31326755 37592106 50122808 62653510 68918861 75184212 93980265 100245616 125307020 137837722 150368424 187960530 200491232 206756583 250614040 275675444 300736848 344594305 375921060 400982464 413513166 501228080 551350888 601473696 689188610 751842120 801964928 827026332 1002456160 1033782915 1102701776 1202947392 1378377220 1503684240 1654052664 2004912320 2067565830 2205403552 2405894784 2756754440 3007368480 3308105328 4009824640 4135131660 4410807104 5513508880 6014736960 6616210656 8270263320 8821614208 11027017760 12029473920 13232421312 16540526640 22054035520 26464842624 33081053280 44108071040 66162106560 132324213120