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132012220200 = 23352731431481
BaseRepresentation
bin111101011110010001…
…0101001111100101000
3110121202011021121210220
41322330202221330220
54130330112021300
6140351240010040
712352246233360
oct1727442517450
9417664247726
10132012220200
1150a93502a33
1221702760920
13c5aaa3a183
1465648259a0
15367983bda0
hex1ebc8a9f28

132012220200 has 96 divisors (see below), whose sum is σ = 467700452160. Its totient is φ = 30174220800.

The previous prime is 132012220159. The next prime is 132012220201. The reversal of 132012220200 is 2022210231.

It is a happy number.

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 132012220200.

It is not an unprimeable number, because it can be changed into a prime (132012220201) 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, 15711541 + ... + 15719940.

It is an arithmetic number, because the mean of its divisors is an integer number (4871879710).

Almost surely, 2132012220200 is an apocalyptic number.

132012220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132012220200 is an abundant number, since it is smaller than the sum of its proper divisors (335688231960).

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

132012220200 is a wasteful number, since it uses less digits than its factorization.

132012220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31431507 (or 31431498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 132012220200 its reverse (2022210231), we get a palindrome (134034430431).

The spelling of 132012220200 in words is "one hundred thirty-two billion, twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 31431481 62862962 94294443 125725924 157157405 188588886 220020367 251451848 314314810 377177772 440040734 471472215 628629620 660061101 754355544 785787025 880081468 942944430 1100101835 1257259240 1320122202 1571574050 1760162936 1885888860 2200203670 2357361075 2640244404 3143148100 3300305505 3771777720 4400407340 4714722150 5280488808 5500509175 6286296200 6600611010 8800814680 9429444300 11001018350 13201222020 16501527525 18858888600 22002036700 26402444040 33003055050 44004073400 66006110100 132012220200