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132505214000 = 2453371790611
BaseRepresentation
bin111101101100111101…
…1010001110000110000
3110200000111221022011112
41323121323101300300
54132332313322000
6140512210332452
712400413510155
oct1733173216060
9420014838145
10132505214000
1151216814525
122181b88a128
13c658c0b293
1465b00b622c
1536a7c6e235
hex1ed9ed1c30

132505214000 has 80 divisors (see below), whose sum is σ = 329057186016. Its totient is φ = 51569568000.

The previous prime is 132505213999. The next prime is 132505214011. The reversal of 132505214000 is 412505231.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821306 + ... + 969305.

Almost surely, 2132505214000 is an apocalyptic number.

132505214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132505214000 is an abundant number, since it is smaller than the sum of its proper divisors (196551972016).

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

132505214000 is a wasteful number, since it uses less digits than its factorization.

132505214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790671 (or 1790655 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 132505214000 its reverse (412505231), we get a palindrome (132917719231).

The spelling of 132505214000 in words is "one hundred thirty-two billion, five hundred five million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 37000 74000 1790611 3581222 7162444 8953055 14324888 17906110 28649776 35812220 44765275 66252607 71624440 89530550 132505214 143248880 179061100 223826375 265010428 331263035 358122200 447652750 530020856 662526070 716244400 895305500 1060041712 1325052140 1656315175 1790611000 2650104280 3312630350 3581222000 5300208560 6625260700 8281575875 13250521400 16563151750 26501042800 33126303500 66252607000 132505214000