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132263342200 = 235211173536453
BaseRepresentation
bin111101100101110000…
…0100111000001111000
3110122101122210221102201
41323023200213001320
54131333403422300
6140432210235544
712361415600443
oct1731340470170
9418348727381
10132263342200
1151102232680
1221772885bb4
13c61aa83482
146589d1465a
1536918e366a
hex1ecb827078

132263342200 has 96 divisors (see below), whose sum is σ = 355201439760. Its totient is φ = 45266585600.

The previous prime is 132263342177. The next prime is 132263342201. The reversal of 132263342200 is 2243362231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132263342201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1730827 + ... + 1805626.

Almost surely, 2132263342200 is an apocalyptic number.

132263342200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132263342200 is an abundant number, since it is smaller than the sum of its proper divisors (222938097560).

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

132263342200 is a wasteful number, since it uses less digits than its factorization.

132263342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536497 (or 3536488 counting only the distinct ones).

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

The spelling of 132263342200 in words is "one hundred thirty-two billion, two hundred sixty-three million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 4675 7480 9350 18700 37400 3536453 7072906 14145812 17682265 28291624 35364530 38900983 60119701 70729060 77801966 88411325 120239402 141458120 155603932 176822650 194504915 240478804 300598505 311207864 353645300 389009830 480957608 601197010 661316711 707290600 778019660 972524575 1202394020 1322633422 1502992525 1556039320 1945049150 2404788040 2645266844 3005985050 3306583555 3890098300 5290533688 6011970100 6613167110 7780196600 12023940200 13226334220 16532917775 26452668440 33065835550 66131671100 132263342200